Appendix – I Publications by Dr. P. K. Jain a) Research Papers Functional Analysis 1.

Simultaneous automorphisms in the in the space of entire functions over non-archimedean fields. Glasnik Mathematicki, 11(13), (1976), 225-261 (with D.R.Jain). MR 55#319.

2.

On the space of entire functions of several variables of finite growth over non -archimedean fields. Bolletino U.M.I. (5) 13-A, (1976), 196-205 (with D.R.Jain). MR 55#12939.

3.

Certain classes of linear functionals on the space of entire functions over non -archimedean fields. Jour. Indian Math. Soc., 41 (1977), 121-127 (with D.R.Jain). MR 80d:46045.

4.

Simultaneous automorphisms in the space of analytic functions over non -archimedean fields. Bolletino U.M.I., (5) 14-A , (1977), 96-106 (with R.K. Saxena). MR 55#11014.

5.

On bases in a space of entire Dirichlet transforms of several complex variables. Tamkang J. Math., 8 (1977), 183 -195 (with D.R. Jain). MR 58#28590

6.

Topological structure of the space of entire functions of several variables over non-archimedean fields. Glasnik Mathematicki, 12(32), 1977, 305-314 (with D.R.Jain). MR 58#2193.

7.

Automorphisms on the spaces of entire functions of several variables over non-archimedean fields. Jour. fur die reine argewandte mathemaike, 292(1977), 13-18 (with D.R. Jain). MR 56#657.

8.

On bases and projections in non-archimedean Banach spaces. Publications de l’Institute Mathematique, 22(36), (1977), 109-113 (with N.M. Kapoor). MR 58#2184.

9.

Hahn Banach theorm for linear metric space over non-archimedean fields. Bull. Sc. Math. (Franch), 2 Series, 102(1978), 365-368 (with D.R. Jain). MR 80i:46060.

10.

Proper bases and homeomorphisms in the space of entire functions of several variables over nonarchimedean fields. Glasnik Mathematicki, 13(33), (1978), 299-306 (with D.R. Jain). MR 80j:46116.

11.

Locally K-convex space of entire functions on KxK of finite growth. Glasnik Matematicki, 14(34), (1979), 109-118 (with D.R. Jain). MR 80j:46117.

12.

T-bases in non-archimedean Banach Spaces. Aligarh Bull. Math., Vol. 9-10 (1979-80), 61-68 (with N.M. Kapoor). MR 84j:46105.

13.

On certain classes of entire functions over non-archimedean fields. Rev. Roum. Pure Appl., 25 (1980), 811-821 (with D.R. Jain and R.K. Saxena). MR 81m:46104.

14.

Best approximation in Banach Spaces with unconditional Schauder decompositions.Acta Sci. Math. (Szeged), 42 (1980), 275 -279 (with K. Ahmad). MR 82h:46019.

15.

Characterisation of bounded sets in the space of entire Dirichlet tranforms of several complex variables having finite growth. Tamkang J. Math. 11 (1980), 145-149 (with Balbir Singh). MR 84h:46035.

16.

Equivalance of bases in non-archimedean Banach Spaces. Publications de l’Institue Mathematique, Novelle Serie, 28 (42), (1980), 95-99 (with N.M. Kapoor). MR 83h:46083.

17.

Certain characterizations of Schauder decompositions in Banach Spaces. Analele Matematica, (2) 19, (1981), 61 -66 (with K. Ahmad). MR 84b:46016.

1

18.

Best approximation in Banach Spaces with Schauder decompositions. Tamkang J. Math.12 (1981), 59-66 (with K. Ahmad). MR 84m:46017.

19.

Unconditional Schauder decompositions and best approximations in Banach Spaces. Indian Jour. Pure Appl. Math., 12 (1981), 1456-1467 (with K. Ahmad).

20.

A note on boundedly complete decomposition of a Banach Space. Acta Sci. Math. (Szeged), 44 (1982), 365-369 (with K. Ahmad and S.M. Maskey). MR 84b:46017.

21.

Domination of sequences of subspaces in Banach Spaces. Analele Mathematica, 24(1986), 34-42 (with K. Ahmad and S.M. Maskey). MR 87m:46032.

22.

Domination and equivalance of sequences of subspaces in dual spaces. Czechslovak J. Math., 36(111), (1986), 351-357 (with K. Ahmad). MR 87j:46027.

23.

Shauder decompositions and best approximations in Banach spaces. Portugal. Math., 44(1987), 25-39 (with K. Ahmad). MR 89a:46033.

24.

A note on transfinite basis in Banach spaces. Tamkang Jour. Math., 19(1988), 1-5 (with K. Ahmad). MR 90h:46023.

25.

On k-shrinking and k-boundedly complete M-bases in Banach space. Jour. Indian Math. Society 54(1989), 147 -154 (with S.K. Kaushik). MR 91h:46022.

26.

On linear independence of sequences in conjugate Banach spaces. Indian J. Pure & Appl. Math., 20 (11), (1989), 1083-1095 (with S.K. Kaushik and D.P. Sinha). MR 90k:46029.

27.

On boundedly complete transfinite bases in Banach spaces. Tamkang Jour. Math. 21(1990), 7-12 (with S.K. Kaushik). MR 91h:46023.

28.

On Markusevic decompositions of Banach spaces. Analysis Mathematica, 16(1990), 265-275 (with D.P. Sinha). MR 92e:46020.

29.

On strong Markusevic decompositions of Banach spaces. Jour. Indian Math. Soc., 55(1990), 117126 (with D.P.Sinha). MR 92a:46012.

30.

Some characterisations of unconditional schauder decompositions of Banach spaces. Tamkang Jour. Math., 21(1990), 359-363 (with D.P. Sinha). MR 91m:46024.

31.

Minimal and w-linearly independent sequences in locally convex spaces. Indian J. Pure & Appl. Math., 22(3), (1991), 203-211 (with A.M. Jarrah and D.P. Sinha). MR 92d:46013.

32.

Block sequences of subspaces of a Banach space. Atti. Sem. Mat. Fis. Univ. Modena, 39 (1991), 413-417 (with K.Ahmad and S.M. Maskey). MR 93b:46020.

33.

On shrinking and boundedly complete Markusevic decompositions of Banach spaces. Jour. Indian Math. Soc., 56(1991), 247-257 (with D.P. Sinha). MR 93c:46014.

34.

A note on strong Markusevic decompositions of Banach spaces. Bull. Australian Math. Soc., 44(1991), 239 -244 (with D.P. Sinha). MR 92k:46018.

35.

Almost shrinking, semi shrinking and semi boundedly complete Schauder bases in locally convex spaces. Indian Jour. Math., 34(1992), 61-72 (with A.M. Jarrah and D.P. Sinha). MR 94c:46012.

36.

On k-shrinking and k-boundedly complete M-bases in subspaces and superspaces of Banach spaces. Bull. Cal. Math. Soc. 85(1993), 167-170 (with S.K. Kaushik). MR 94g:46017.

37.

Markusevic decompositions and quasi reflexivity of Banach spaces, Analysis Mathematica, 21(1995), 95-100 (with D.P. Sinha). MR 96e:46011.

38.

Certain imbeddings of weighted Orlicz-Sobolev spaces, J. Analysis (Professor Blambert Volume), 3(1995), 229-239 (with Pankaj Jain). MR 96j:46030.

39.

Sequential characterizations of Markusevic decompositions of Banach spaces, Math. Student 64(1995), 183 -187 (with D.P. Sinha).

2

40.

Weak* sequential compactness of dual unit balls of Banach spaces with PRI, J. Indian Math. Soc. 63(1997), 123 -132 (with K.K. Arora and D.P. Sinha). 99e:46016.

41.

On strong Markusevic decompositions of Banach spaces II, J. Indian Math. Soc. 63(1997), 69-76 (with D.P. Sinha).

42.

Quasi reflexivity and the sup of linear functionals, Bull. Aust. Math. Soc. 55(1997), 89-98 (with K.K. Arora and D.P. Sinha). MR 97m:46023.

43.

On Banach spaces of the smallest uncountable density with PRI, J. Indian Math. Soc., 65 (1997) (with K.K. Arora and D.P. Sinha).

44.

On certain weighted mean inequalities. Mathematics Student, 68(1999), 207-210 (with A.M. Jarrah).

45.

Continuous and compact imbeddings of weighted Sobolev spaces, Acta Sci. Math. (Szeged), 66(2000), 665 -677 (with Pankaj Jain & Bindu Bansal).

46.

Certain imbeddings of Sobolev spaces with power type weights. Indian J. Math., 44(2002), 137154(with Pankaj Jain and Bindu Bansal).

47.

Certain imbeddings of weighted Sobolev spaces. Mathematical Inequalities & Applications, 6(2003), 105-120 (with Pankaj Jain and Bindu Bansal).

48.

On Certain double sized integral operators over multidimensional cones. Proc. A. Razmadze Math. Inst. 131(2003)- to appear (with Pankaj Jain and Babita Gupta)

49.

On certain weighted integral inequalities with mixed norms. Italian Jour. Pure and Appl. Math. –to appear (in Vol. 19 or 20)(with Pankaj Jain and Babita Gupta)

50.

Compactness of Hardy-type operators over star-shaped regions in IR , Canadian Bulletin of Mathematics- to appear (with Pankaj Jain and Babita Gupta)

Complex Analysis 1. Convex functions and their applications. Istanbul Univ. Fen. Fak. Mec., Ser. A, 69. MR 41#408.

30 (1965), 59-

2. Applications of convex functions. Bull P.G.S. Delhi Univ., 3 (1966), 18-23. 3. On convex functions of order zero. Istanbul Univ. Fen. Fak. Mec., Ser. A, 33 (1968), 45-49. MR 48#4222. 4. On a certain class of convex functions. Rend. Circ. Mat. Palermo, 17 (1968), 208-216 (with P.K. Kamthan). MR 42#439. 5. On entire functions represented by Dirichlet series Rev. Roum. Math. Pures Appl., 14 (1969), 361-366 (with P.K. Kamthan). MR 39#2862. 6. The geometric means of an entire function. Ann. Polon, Math. 21 (1969), 247-255 (with P.K. Kamthan). MR 38#4396. 7. Growth of the mean values of entire function represented by Dirichlet series. Math. Nachr., 44 (1970), 91-97. MR 42#6232. 8. On the mean values of entire functions. Math. Nachr., 44 (1970), 305-312. MR 42#6229. 9. Growth of the mean values of an entire function represented by Dirichlet series (III). Rev. Roum. Math. Pures Appl., 13 (1970), 549-553. MR 44#4207. 10.

Proximate order of an entire Dirichlet series of order (R) infinity. Rev. Roum. Math. Pures Appl., 15 (1970), 367-371. MR 41#7104.

11.

Proximate order(R) of an entire Dirichlet series. Bull. Acad. Polon. Sci., 18 (1970), 521-524 (with P.N. Gupta). MR 42#7898.

12.

On entire Dirichlet series of order(R) infinity. Math. Vesnik, 8 (23), (1971), 27-30. MR 45#3683.

3

13.

Growth of the mean values of an entire function represented by Dirichlet series (II). Rev. Roum. Math. Pures Appl., 16 (1971), 1077-1084. MR 45#7054.

14.

Logarithmic order(R) and lower logarithmic order(R) of an entire Dirichlet seriess. Istanbul Univ. Fen. Fak. Mec., Ser. A, 36 (1971), 15 -21. MR 57#9945.

15.

Entire functions with gap power seriess. Rev. Roum. Math. Pures Appl., 17 (1972), 875-877. MR 47#7027.

16.

A theorem on the means of an entire function. Rev. Math. Univ. Param, (3) 1, (1972), 79-82. MR 51#8418.

17.

Growth of geometric means of an entire function. Jour. Math. Sci., Delhi University, 7 (1972), 78-85.

18.

On the means of an entire function of several complex variables. Yokohama Math. J., 20 (1972), 125-129. MR 46#7544.

19.

Applications of Kennedy’s representation theorem for a subharmonic function. Math. Nachr., 52 (1972), 145-153. MR 49#3166.

20.

A note on subharmonic functions. Bull. Math. Soc. Sci. Math. R.S. Roumanie, 15 (63), (1971), 47-50, (1972) (with V.P. Gupta). MR 47#8881.

21.

On Nevanlinna’s proximity functions for a meromorphic function. Ann. Polon. Math., 26 (1972), 109-113 (with P.K. Kamthan). MR 46#356.

22.

Remarks on the geometric means of entire functions of several complex variables. Riv. Mat. Univ. Param., (3) 1, (1972), 113-117 (with P.K. Kamthan). MR 51#8450.

23.

On the lower order of an entire function with gap power series. Rev. Roum. Math. Pures Appl., 17 (1972), 1643 -1648 (with D.R. Jain). MR 48#6416.

24.

On the maximum moduli of an entire function and its first order derivative. Math. Vesnik, 9(24), (1972), 109-112 (with V.P. Gupta). MR 48#533.

25.

A note on subharmonic function (II). Bull. Math. Soc. Sci. Math. R.S. Roumanie, 16 (64), (1972), 447-449, (1974) (with V.P. Gupta). MR 54#7803.

26.

On the means of the product of two entire functions. Kyungpook Math. J.,13 (1973), 47#8853.

27.

On a class of subharmonic functions Math. Nachr., 55 (1973), 287-292 (with P.N. Gupta and V.P. Gupta). MR 49#9226.

28.

Sur les moyennes d’une fonction entire d’ordere zero. Bull. Sci. Math. (France), 97 (1973), 5-15 (with V.D. Chugh). MR 48#8793.

29.

A note on maximun modulus of an entire Dirichlet series. Analele Matematica, 11 (1973), 137140 (with V.D. Chugh). MR 51#5928.

30.

Growth of Nevanlinna-Selberg characteristic function of an algebroid function. Bolletino U.M.I., 4(8), (1973), 419-426 (with S.K. Anand). MR 48#8799.

31.

On the logarithmic convergence exponent of the zeros of entire functions. Yokohama Math. J., 21 (1973), 97-101 (with V.D. Chugh). MR 49#3129.

32.

Mean values of an entire Dirichlet series of order(R) zero. Japon. Math., 18 (1973), 273-281 (with V.D. Chugh). MR 49#7444.

33.

A note on the real values of an entire function of order zero. Glasnik Matematicki, 8 (28), (1973), 225-228 (with V.D. Chugh). MR 48#11509.

34.

Growth of the mean values of an entire function represented by Dirichlet series (IV). Math. Student, 42 (1974), 13-16. MR 53#13562.

4

59-61. MR

35.

Geometric means of an entire Dirichlet series. Rend. Math., (3) 7, (1974), 395-401. MR 52#748. MR 52#748.

36.

Slowly growing subharmonic functions. Math. Student. 42 (1974), 166-176 MR 53#11069.

37.

On the lower order of an entire Dirichlet series. Ann. Institute Fourier, Grenoble (France), 24 (1974), 123-129 (with D.R. Jain). MR 50#7520.

38.

On an entire Dirichlet series of lower order(R) infinity. Bull. Acad. Polon. Sci., 22(1974), 783-788 (with D.R. Jain). MR 50#7521.

39.

On the means of entire functions of several complex variables of small order. Kyungpook J. Math., 14 (1974), 185-194 (with V.P. Gupta). MR 51#3494.

40.

Sur les zeros et monynnes de une classe fonction entires. Bull. Sci. Math. (France), 98 (1974), 17-28 (with V.D. Chugh). MR 55#5856.

41.

Growth of the geometric means of entire Dirichlet series. Mathematica (Cluj), 17 (40), 1 (1975), 71-76 (with P.S. Kalsi). MR 57#16554.

42.

Growth of certain subharmonic functions. Math. Nachr., 65(1975), 145-152 (with V.P. Gupta). MR 51#3476.

43.

On the means of an entire function of order zero. Math. student, 43(1975), 293 -302 (with V.D. Chugh).

44.

Logarithmic Proximate order and geometric means of an entire function of order zero. Riv. Math. Univ. Parma, (4) 2, (1976), 57-68 (with V.D. Chugh). MR 56#5879.

45.

A note on a class of Bazilvic functions. Tamkang J. Math., 7(1976), 113-119 (with V.P. Gupta). MR 54#7769.

46.

Certain classes of univalant functions with negative coefficients. Bull. Australian Math. Soc., 14 (1976), 409-416 (with V.P. Gupta). MR 54#2941.

47.

Certain classes of univalant functions with negative coefficients (II). Bull. Australian Math. Soc., 15 (1976), 467-473 (with V.P. Gupta). MR 55#8334.

48.

On starlike function. Rend de Math., (3) 9, (1976), 433-437 (with V.P. Gupta). MR 55#641

49.

On modified deficient values of a meromorphic function and its derivatives. Indian J. Pure and Appl. Math., 7 (1976) 224-240 (with Paramjit Singh). MR 58#22561.

50.

On a class of entire functions given by power series of polynomials. Bull. Acad. Polan. Sci., 24(1976), 43-49 (with D.R. Jain). MR 53#5866.

51.

The order and type of an entire Dirichlet series of several complex variables. Yokohama Math. J. 24 (1976), 51-56 (with V.P. Gupta). MR 57#6482.

52.

The geometric means of an entire function of order zero. Collectanea Math., 28 (1977), 115-129 (with V.D. Chugh). MR 58#17087.

53.

Some results on p-valued entire algebroid functions. Indian J. Pure and Appl. Math., 8 (1977), 567-573 (with S.K. Anand).

54.

On the radius of univalance of certain classes of analytic functions with fixed second coefficients. Rend de Math., (3-4), 12 (1979), 423-430 (with V.P. Gupta and Iqbal Ahmad). MR 81j:30025.

55.

The geometric means of an entire function of order zero (II). Portugal Math., 38 (1979), 241-253 (with V.D. Chugh). MR 86d:30042.

56.

On starlike and convex functions with missing and negative coefficients. Bull. Malaysian Math. Soc., (2) 3, (1980), 95-101 (with O.P. Ahuja). MR 82d:30013.

5

(with V.P. Gupta).

57.

A class of univalant functions with negative coefficients. Rend. de Math. (1) (1981) Vol. 1, Series VII, 47-54 (with O.P. Ahuja). MR 82g:30028.

58.

On the mean values of an entire function represented by Dirichlet series. Portugal Math. 43 (1985 -86), 249-270 (with P.K. Kamtham). MR 88f:30042.

59.

On the spiral-like of rational functions. Rend. Cir. Mat. Palermo. 35 (1986), 376-385 (with O.P. Ahuja). MR 89b:30007.

b) Articles (not abstracts) published in Seminars, Symposia, Conference volumes etc. Research Papers 1.

Quasi boundedly complete and shrinking minimal sequences of subspaces of a Banach space. Proceedings of Int. Conf. on Invarient Subspaces and Allied Topics, University of Delhi, Dec. 1986. Narosa Pub. House, New Delhi (1990), 99-102 (with K. Ahmad).

2.

Boundedly complete bases in various locally convex spaces. Proc. Int. Conf. Maths. Delhi University (1990). Lecture Notes in Mathematics, Springer-Verlag, 1511(1992), 128-140 (with A.M. Jarrah and D.P. Sinha). MR 93h:46005.

3.

On Grothendieck spaces with PRI, Functional Analysis with Current Applications in Science, Technology and Industry. (Eds : M. Brokate and A.H. Siddiqui), Pitman Research Notes in Mathematics Series 377(1998), 70-81 (with D.P. Sinha and K.K. Arora). MR 99c:46010.

4.

Inequalities involving dual of some averaging operators. In: Geometry, Anlysis and Applications (Ed.: R.S.Pathak), World Sceintific, 2001, 349-357 (with Pankaj Jain and R. Hasija)

5.

A two dimensional Knopp inequality with weights. In : Analysis and Applications (Eds.: H.P.Dikshit and Pawan K. Jain). Narosa Publishing House, New Delhi, 2002, 93-100 (with Pankaj Jain and A.P.Singh).

Expository Papers/Lectures delivered in Conferences etc. 1.

On bases in spaces over non-archimedean fields. Aligarh Bull. Math., 7(1977), 23-30.

2.

Certain recent developments in non-archimedean analysis. In: Proceedings of the Seminar on Recent Developments in Mathematics and its Applications Mehta Research Institute of Mathematics, Allahabad, 1978.

3.

Markushevic bases in Banach spaces and their conjugate spaces. In: Proc. Levi Seminar on Mathematics. University of Calcutta (1989), 19-29.

4.

Retention of certain properties of bases under various locally convex topologies. In: Proc. Bienniel Conf. Allahabad Math. Soc., (1990), C 97 -109.

5.

Approximation properties in Banach spaces – A survey. Bull. Allahabad Math. Soc., 6 (1991), 2982 (with D.P. Sinha). MR 96h:46009.

6.

Certain recent refinements of Sobolev spaces Inequalities: In: Fourier Analysis, Approximation Theory and Applications (an outcome of the Proceedings of an International Conference). (Editors: Z.U. Ahmad, N.K. Govil and P.K. Jain). New Age International (P) Limited, New Delhi (1997), 101 -114. (with Pankaj Jain), MR 99f:46044.

7.

Some recent breakthroughs in the theory of bases in Banach spaces. In: Functional Analysis Selected topics. (Editor : P.K. Jain). Narosa Publishing House, New Delhi, 1998, 56-65 (with D.P. Sinha),

6

8.

Projectional resolutions of the identity of Banach spaces. In: Functional Analysis – Selected Topics. (Editor : P.K. Jain). Narosa Publishing House, New Delhi, 1998, 66-73 (with D.P. Sinha and K.K. Arora),

9.

Recent trends in Functional Analysis and Applications. In: Souvenir, Centenary year of the Department of Mathematics, B.H.U. (1898-1998), 130-138.

10.

Imbeddings of weighted Sobolev spaces. In: Function Spaces and Applications. (Editors : D.E. Edmunds, P.K. Jain, Pankaj Jain, A. Kufner, L. E. Persson and S. Saitoh). Narosa Publishing House, New Delhi/ Alpha Science International Ltd. U.K./ CRC Press, New York, 2000, 98-116 (with Pankaj Jain)

11.

Various aspects of Sobolev spaces - in particular- imbeddings. (In : Proceedings of the International Congress of Ghyath-Al-Din Jamshid Kashani (ICGK -2000) held at Kashan University, Iran) International Journal of Sci. & Techn. Univ. Kashan (Trans. A: Sciences) 1(2000), 41 -58.

12.

Certain imbeddings of weighted Sobolev spaces. (In : Proceedings of the International Congress of Ghyath-Al-Din Jamshid Kashani (ICGK-2000) held at Kashan University, Iran) International Journal of Sci. & Techn. Univ. Kashan (Trans. A: Sciences) –to appear.

c) Books Text Books 1.

A text Book of Analytical Geometry of Two Dimensions. Wiley Eastern Limited, New Delhi, 1983. nd Revised 2 Ed. July 1986. Corrected Reprint January 1991. Second Reprint July 1994. Reprint 2003. (with Khalil Ahmad).

2.

A Text Book of Analytical Geometry of Three Dimensions. Wiley Eastern Limited, New Delhi, 1986. Reprint August 1987. Revised 2nd Ed. February 1991. Reprint November 1994. Reprint 1999. Reprint 2003. (with Khalil Ahmad).

3.

Lebesgue Measure and Integration. Wiley Eastern Limited, New Delhi, 1986 (A Halsted Press Book : John Wiley & Sons 1986). Reprint January 1987. Second Reprint February 1989. Third Reprint August 1994. Fourth Reprint July 1998. Fifth Reprint 2000, Reprint 2002 (with V.P. Gupta). MR 88b:28001a, 28001b.

4.

Metric Spaces. Narosa Publishing House, New Delhi, May 1993. First Reprint 1996. Reprint 1999. Second Edition- in press (with Khalil Ahmad).

5.

Functional Analysis. New Age International (P) Limited & Wiley Eastern Limited, New Delhi 1995 (A halsted Press Book : John Wiley & Sons 1995) First Corrected Reprint 1997. (with O.P. Ahuja and Khalil Ahmad).

6.

One Chapter for Mathematics (Class XI), 2002 and one Chapter for Mathematics (Class XII), 2003 published by National Council of Educational Research and Training (NCERT), New Delhi.

Second

Edited Books 1.

Abridged and edited the English translation of the book Introduction to the Theory of Cubature Formulas, Izdet. Nauka, (Moskow), 1974 by Academician S.L. Sobolev (originally in Russian) and appeared under the title ”An Introduction to Theory of Cubature Formulas and Some Aspects of Modern Analysis”, Oxonian Press Pvt. Ltd., New Delhi, 1992. The above book also appeared under the title “Cubature Formulas and Modern Analysis: An Introduction”, Gordon & Breach, London, 1992.

2.

Fourier Analysis, Approximation Theory and Applications (an outcome of the Proceedings of the International Conference held at AMU, Aligarh during September 6-9, 1993). New Age International (P) Limited, New Delhi, 1997. (with Z.U. Ahmad and N.K. Govil). MR 99d:*00019.

7

3.

Functional Analysis- Selected Topics (In the honour of Late Professor P.K. Kamthan). Narosa Publishing House, New Delhi, 1998. (accepted by American Mathematical Society) MR 99h:*00036.

4.

Sequences Spaces and Application (In the honour of Late Professor P.K. Kamthan). Narosa Publishing House, New Delhi, 1999. (with Eberhard Malkowsky).

5.

Function Spaces and Applications to Partial Differential Equations (an outcome of the International Conference held at University of Delhi during December 15-19, 1997). Narosa Publishing House, New Delhi/ Alpha Science International Ltd. U.K./ CRC Press, New York, 2000 (with D.E. Edmunds, Pankaj Jain, A. Kufner, L.E. Persson and S. Saitoh).

6.

Wavelets and Allied Topics (an outcome of the International Instructional Workshop held at the University of Delhi, Delhi during August 16-27, 1999). Narosa Publishing House, New Delhi/ Alpha Science International Ltd. U.K., 2001(with M.Krishna, H.N. Mhaskar, J. Prestin and D. Singh).

7.

Analysis and Applications (an outcome of the conference organized in the honour of Professor T. Pati at Ujjain during February 12-14, 2000). Narosa Publishing House, New Delhi 2002 (with H.P. Dikshit).

8.

Mathematics (Text Book for Clas s XI)- Parts I & II published by National Council of Educational Research and Training (NCERT), New Delhi, 2002. (with Hukum Singh)

9.

Mathematics (Text Book for Class XII)- Parts I & II published by National Council of Educational Research and Training (NCERT), New Delhi, 2003. (with Hukum Singh)

8

Simultaneous automorphisms in the in the space of entire functions over non-archimedean fields. Glasnik Mathematicki, 11(13), (1976), 225-261 (with D.R.Jain). MR 55#319.

2.

On the space of entire functions of several variables of finite growth over non -archimedean fields. Bolletino U.M.I. (5) 13-A, (1976), 196-205 (with D.R.Jain). MR 55#12939.

3.

Certain classes of linear functionals on the space of entire functions over non -archimedean fields. Jour. Indian Math. Soc., 41 (1977), 121-127 (with D.R.Jain). MR 80d:46045.

4.

Simultaneous automorphisms in the space of analytic functions over non -archimedean fields. Bolletino U.M.I., (5) 14-A , (1977), 96-106 (with R.K. Saxena). MR 55#11014.

5.

On bases in a space of entire Dirichlet transforms of several complex variables. Tamkang J. Math., 8 (1977), 183 -195 (with D.R. Jain). MR 58#28590

6.

Topological structure of the space of entire functions of several variables over non-archimedean fields. Glasnik Mathematicki, 12(32), 1977, 305-314 (with D.R.Jain). MR 58#2193.

7.

Automorphisms on the spaces of entire functions of several variables over non-archimedean fields. Jour. fur die reine argewandte mathemaike, 292(1977), 13-18 (with D.R. Jain). MR 56#657.

8.

On bases and projections in non-archimedean Banach spaces. Publications de l’Institute Mathematique, 22(36), (1977), 109-113 (with N.M. Kapoor). MR 58#2184.

9.

Hahn Banach theorm for linear metric space over non-archimedean fields. Bull. Sc. Math. (Franch), 2 Series, 102(1978), 365-368 (with D.R. Jain). MR 80i:46060.

10.

Proper bases and homeomorphisms in the space of entire functions of several variables over nonarchimedean fields. Glasnik Mathematicki, 13(33), (1978), 299-306 (with D.R. Jain). MR 80j:46116.

11.

Locally K-convex space of entire functions on KxK of finite growth. Glasnik Matematicki, 14(34), (1979), 109-118 (with D.R. Jain). MR 80j:46117.

12.

T-bases in non-archimedean Banach Spaces. Aligarh Bull. Math., Vol. 9-10 (1979-80), 61-68 (with N.M. Kapoor). MR 84j:46105.

13.

On certain classes of entire functions over non-archimedean fields. Rev. Roum. Pure Appl., 25 (1980), 811-821 (with D.R. Jain and R.K. Saxena). MR 81m:46104.

14.

Best approximation in Banach Spaces with unconditional Schauder decompositions.Acta Sci. Math. (Szeged), 42 (1980), 275 -279 (with K. Ahmad). MR 82h:46019.

15.

Characterisation of bounded sets in the space of entire Dirichlet tranforms of several complex variables having finite growth. Tamkang J. Math. 11 (1980), 145-149 (with Balbir Singh). MR 84h:46035.

16.

Equivalance of bases in non-archimedean Banach Spaces. Publications de l’Institue Mathematique, Novelle Serie, 28 (42), (1980), 95-99 (with N.M. Kapoor). MR 83h:46083.

17.

Certain characterizations of Schauder decompositions in Banach Spaces. Analele Matematica, (2) 19, (1981), 61 -66 (with K. Ahmad). MR 84b:46016.

1

18.

Best approximation in Banach Spaces with Schauder decompositions. Tamkang J. Math.12 (1981), 59-66 (with K. Ahmad). MR 84m:46017.

19.

Unconditional Schauder decompositions and best approximations in Banach Spaces. Indian Jour. Pure Appl. Math., 12 (1981), 1456-1467 (with K. Ahmad).

20.

A note on boundedly complete decomposition of a Banach Space. Acta Sci. Math. (Szeged), 44 (1982), 365-369 (with K. Ahmad and S.M. Maskey). MR 84b:46017.

21.

Domination of sequences of subspaces in Banach Spaces. Analele Mathematica, 24(1986), 34-42 (with K. Ahmad and S.M. Maskey). MR 87m:46032.

22.

Domination and equivalance of sequences of subspaces in dual spaces. Czechslovak J. Math., 36(111), (1986), 351-357 (with K. Ahmad). MR 87j:46027.

23.

Shauder decompositions and best approximations in Banach spaces. Portugal. Math., 44(1987), 25-39 (with K. Ahmad). MR 89a:46033.

24.

A note on transfinite basis in Banach spaces. Tamkang Jour. Math., 19(1988), 1-5 (with K. Ahmad). MR 90h:46023.

25.

On k-shrinking and k-boundedly complete M-bases in Banach space. Jour. Indian Math. Society 54(1989), 147 -154 (with S.K. Kaushik). MR 91h:46022.

26.

On linear independence of sequences in conjugate Banach spaces. Indian J. Pure & Appl. Math., 20 (11), (1989), 1083-1095 (with S.K. Kaushik and D.P. Sinha). MR 90k:46029.

27.

On boundedly complete transfinite bases in Banach spaces. Tamkang Jour. Math. 21(1990), 7-12 (with S.K. Kaushik). MR 91h:46023.

28.

On Markusevic decompositions of Banach spaces. Analysis Mathematica, 16(1990), 265-275 (with D.P. Sinha). MR 92e:46020.

29.

On strong Markusevic decompositions of Banach spaces. Jour. Indian Math. Soc., 55(1990), 117126 (with D.P.Sinha). MR 92a:46012.

30.

Some characterisations of unconditional schauder decompositions of Banach spaces. Tamkang Jour. Math., 21(1990), 359-363 (with D.P. Sinha). MR 91m:46024.

31.

Minimal and w-linearly independent sequences in locally convex spaces. Indian J. Pure & Appl. Math., 22(3), (1991), 203-211 (with A.M. Jarrah and D.P. Sinha). MR 92d:46013.

32.

Block sequences of subspaces of a Banach space. Atti. Sem. Mat. Fis. Univ. Modena, 39 (1991), 413-417 (with K.Ahmad and S.M. Maskey). MR 93b:46020.

33.

On shrinking and boundedly complete Markusevic decompositions of Banach spaces. Jour. Indian Math. Soc., 56(1991), 247-257 (with D.P. Sinha). MR 93c:46014.

34.

A note on strong Markusevic decompositions of Banach spaces. Bull. Australian Math. Soc., 44(1991), 239 -244 (with D.P. Sinha). MR 92k:46018.

35.

Almost shrinking, semi shrinking and semi boundedly complete Schauder bases in locally convex spaces. Indian Jour. Math., 34(1992), 61-72 (with A.M. Jarrah and D.P. Sinha). MR 94c:46012.

36.

On k-shrinking and k-boundedly complete M-bases in subspaces and superspaces of Banach spaces. Bull. Cal. Math. Soc. 85(1993), 167-170 (with S.K. Kaushik). MR 94g:46017.

37.

Markusevic decompositions and quasi reflexivity of Banach spaces, Analysis Mathematica, 21(1995), 95-100 (with D.P. Sinha). MR 96e:46011.

38.

Certain imbeddings of weighted Orlicz-Sobolev spaces, J. Analysis (Professor Blambert Volume), 3(1995), 229-239 (with Pankaj Jain). MR 96j:46030.

39.

Sequential characterizations of Markusevic decompositions of Banach spaces, Math. Student 64(1995), 183 -187 (with D.P. Sinha).

2

40.

Weak* sequential compactness of dual unit balls of Banach spaces with PRI, J. Indian Math. Soc. 63(1997), 123 -132 (with K.K. Arora and D.P. Sinha). 99e:46016.

41.

On strong Markusevic decompositions of Banach spaces II, J. Indian Math. Soc. 63(1997), 69-76 (with D.P. Sinha).

42.

Quasi reflexivity and the sup of linear functionals, Bull. Aust. Math. Soc. 55(1997), 89-98 (with K.K. Arora and D.P. Sinha). MR 97m:46023.

43.

On Banach spaces of the smallest uncountable density with PRI, J. Indian Math. Soc., 65 (1997) (with K.K. Arora and D.P. Sinha).

44.

On certain weighted mean inequalities. Mathematics Student, 68(1999), 207-210 (with A.M. Jarrah).

45.

Continuous and compact imbeddings of weighted Sobolev spaces, Acta Sci. Math. (Szeged), 66(2000), 665 -677 (with Pankaj Jain & Bindu Bansal).

46.

Certain imbeddings of Sobolev spaces with power type weights. Indian J. Math., 44(2002), 137154(with Pankaj Jain and Bindu Bansal).

47.

Certain imbeddings of weighted Sobolev spaces. Mathematical Inequalities & Applications, 6(2003), 105-120 (with Pankaj Jain and Bindu Bansal).

48.

On Certain double sized integral operators over multidimensional cones. Proc. A. Razmadze Math. Inst. 131(2003)- to appear (with Pankaj Jain and Babita Gupta)

49.

On certain weighted integral inequalities with mixed norms. Italian Jour. Pure and Appl. Math. –to appear (in Vol. 19 or 20)(with Pankaj Jain and Babita Gupta)

50.

Compactness of Hardy-type operators over star-shaped regions in IR , Canadian Bulletin of Mathematics- to appear (with Pankaj Jain and Babita Gupta)

Complex Analysis 1. Convex functions and their applications. Istanbul Univ. Fen. Fak. Mec., Ser. A, 69. MR 41#408.

30 (1965), 59-

2. Applications of convex functions. Bull P.G.S. Delhi Univ., 3 (1966), 18-23. 3. On convex functions of order zero. Istanbul Univ. Fen. Fak. Mec., Ser. A, 33 (1968), 45-49. MR 48#4222. 4. On a certain class of convex functions. Rend. Circ. Mat. Palermo, 17 (1968), 208-216 (with P.K. Kamthan). MR 42#439. 5. On entire functions represented by Dirichlet series Rev. Roum. Math. Pures Appl., 14 (1969), 361-366 (with P.K. Kamthan). MR 39#2862. 6. The geometric means of an entire function. Ann. Polon, Math. 21 (1969), 247-255 (with P.K. Kamthan). MR 38#4396. 7. Growth of the mean values of entire function represented by Dirichlet series. Math. Nachr., 44 (1970), 91-97. MR 42#6232. 8. On the mean values of entire functions. Math. Nachr., 44 (1970), 305-312. MR 42#6229. 9. Growth of the mean values of an entire function represented by Dirichlet series (III). Rev. Roum. Math. Pures Appl., 13 (1970), 549-553. MR 44#4207. 10.

Proximate order of an entire Dirichlet series of order (R) infinity. Rev. Roum. Math. Pures Appl., 15 (1970), 367-371. MR 41#7104.

11.

Proximate order(R) of an entire Dirichlet series. Bull. Acad. Polon. Sci., 18 (1970), 521-524 (with P.N. Gupta). MR 42#7898.

12.

On entire Dirichlet series of order(R) infinity. Math. Vesnik, 8 (23), (1971), 27-30. MR 45#3683.

3

13.

Growth of the mean values of an entire function represented by Dirichlet series (II). Rev. Roum. Math. Pures Appl., 16 (1971), 1077-1084. MR 45#7054.

14.

Logarithmic order(R) and lower logarithmic order(R) of an entire Dirichlet seriess. Istanbul Univ. Fen. Fak. Mec., Ser. A, 36 (1971), 15 -21. MR 57#9945.

15.

Entire functions with gap power seriess. Rev. Roum. Math. Pures Appl., 17 (1972), 875-877. MR 47#7027.

16.

A theorem on the means of an entire function. Rev. Math. Univ. Param, (3) 1, (1972), 79-82. MR 51#8418.

17.

Growth of geometric means of an entire function. Jour. Math. Sci., Delhi University, 7 (1972), 78-85.

18.

On the means of an entire function of several complex variables. Yokohama Math. J., 20 (1972), 125-129. MR 46#7544.

19.

Applications of Kennedy’s representation theorem for a subharmonic function. Math. Nachr., 52 (1972), 145-153. MR 49#3166.

20.

A note on subharmonic functions. Bull. Math. Soc. Sci. Math. R.S. Roumanie, 15 (63), (1971), 47-50, (1972) (with V.P. Gupta). MR 47#8881.

21.

On Nevanlinna’s proximity functions for a meromorphic function. Ann. Polon. Math., 26 (1972), 109-113 (with P.K. Kamthan). MR 46#356.

22.

Remarks on the geometric means of entire functions of several complex variables. Riv. Mat. Univ. Param., (3) 1, (1972), 113-117 (with P.K. Kamthan). MR 51#8450.

23.

On the lower order of an entire function with gap power series. Rev. Roum. Math. Pures Appl., 17 (1972), 1643 -1648 (with D.R. Jain). MR 48#6416.

24.

On the maximum moduli of an entire function and its first order derivative. Math. Vesnik, 9(24), (1972), 109-112 (with V.P. Gupta). MR 48#533.

25.

A note on subharmonic function (II). Bull. Math. Soc. Sci. Math. R.S. Roumanie, 16 (64), (1972), 447-449, (1974) (with V.P. Gupta). MR 54#7803.

26.

On the means of the product of two entire functions. Kyungpook Math. J.,13 (1973), 47#8853.

27.

On a class of subharmonic functions Math. Nachr., 55 (1973), 287-292 (with P.N. Gupta and V.P. Gupta). MR 49#9226.

28.

Sur les moyennes d’une fonction entire d’ordere zero. Bull. Sci. Math. (France), 97 (1973), 5-15 (with V.D. Chugh). MR 48#8793.

29.

A note on maximun modulus of an entire Dirichlet series. Analele Matematica, 11 (1973), 137140 (with V.D. Chugh). MR 51#5928.

30.

Growth of Nevanlinna-Selberg characteristic function of an algebroid function. Bolletino U.M.I., 4(8), (1973), 419-426 (with S.K. Anand). MR 48#8799.

31.

On the logarithmic convergence exponent of the zeros of entire functions. Yokohama Math. J., 21 (1973), 97-101 (with V.D. Chugh). MR 49#3129.

32.

Mean values of an entire Dirichlet series of order(R) zero. Japon. Math., 18 (1973), 273-281 (with V.D. Chugh). MR 49#7444.

33.

A note on the real values of an entire function of order zero. Glasnik Matematicki, 8 (28), (1973), 225-228 (with V.D. Chugh). MR 48#11509.

34.

Growth of the mean values of an entire function represented by Dirichlet series (IV). Math. Student, 42 (1974), 13-16. MR 53#13562.

4

59-61. MR

35.

Geometric means of an entire Dirichlet series. Rend. Math., (3) 7, (1974), 395-401. MR 52#748. MR 52#748.

36.

Slowly growing subharmonic functions. Math. Student. 42 (1974), 166-176 MR 53#11069.

37.

On the lower order of an entire Dirichlet series. Ann. Institute Fourier, Grenoble (France), 24 (1974), 123-129 (with D.R. Jain). MR 50#7520.

38.

On an entire Dirichlet series of lower order(R) infinity. Bull. Acad. Polon. Sci., 22(1974), 783-788 (with D.R. Jain). MR 50#7521.

39.

On the means of entire functions of several complex variables of small order. Kyungpook J. Math., 14 (1974), 185-194 (with V.P. Gupta). MR 51#3494.

40.

Sur les zeros et monynnes de une classe fonction entires. Bull. Sci. Math. (France), 98 (1974), 17-28 (with V.D. Chugh). MR 55#5856.

41.

Growth of the geometric means of entire Dirichlet series. Mathematica (Cluj), 17 (40), 1 (1975), 71-76 (with P.S. Kalsi). MR 57#16554.

42.

Growth of certain subharmonic functions. Math. Nachr., 65(1975), 145-152 (with V.P. Gupta). MR 51#3476.

43.

On the means of an entire function of order zero. Math. student, 43(1975), 293 -302 (with V.D. Chugh).

44.

Logarithmic Proximate order and geometric means of an entire function of order zero. Riv. Math. Univ. Parma, (4) 2, (1976), 57-68 (with V.D. Chugh). MR 56#5879.

45.

A note on a class of Bazilvic functions. Tamkang J. Math., 7(1976), 113-119 (with V.P. Gupta). MR 54#7769.

46.

Certain classes of univalant functions with negative coefficients. Bull. Australian Math. Soc., 14 (1976), 409-416 (with V.P. Gupta). MR 54#2941.

47.

Certain classes of univalant functions with negative coefficients (II). Bull. Australian Math. Soc., 15 (1976), 467-473 (with V.P. Gupta). MR 55#8334.

48.

On starlike function. Rend de Math., (3) 9, (1976), 433-437 (with V.P. Gupta). MR 55#641

49.

On modified deficient values of a meromorphic function and its derivatives. Indian J. Pure and Appl. Math., 7 (1976) 224-240 (with Paramjit Singh). MR 58#22561.

50.

On a class of entire functions given by power series of polynomials. Bull. Acad. Polan. Sci., 24(1976), 43-49 (with D.R. Jain). MR 53#5866.

51.

The order and type of an entire Dirichlet series of several complex variables. Yokohama Math. J. 24 (1976), 51-56 (with V.P. Gupta). MR 57#6482.

52.

The geometric means of an entire function of order zero. Collectanea Math., 28 (1977), 115-129 (with V.D. Chugh). MR 58#17087.

53.

Some results on p-valued entire algebroid functions. Indian J. Pure and Appl. Math., 8 (1977), 567-573 (with S.K. Anand).

54.

On the radius of univalance of certain classes of analytic functions with fixed second coefficients. Rend de Math., (3-4), 12 (1979), 423-430 (with V.P. Gupta and Iqbal Ahmad). MR 81j:30025.

55.

The geometric means of an entire function of order zero (II). Portugal Math., 38 (1979), 241-253 (with V.D. Chugh). MR 86d:30042.

56.

On starlike and convex functions with missing and negative coefficients. Bull. Malaysian Math. Soc., (2) 3, (1980), 95-101 (with O.P. Ahuja). MR 82d:30013.

5

(with V.P. Gupta).

57.

A class of univalant functions with negative coefficients. Rend. de Math. (1) (1981) Vol. 1, Series VII, 47-54 (with O.P. Ahuja). MR 82g:30028.

58.

On the mean values of an entire function represented by Dirichlet series. Portugal Math. 43 (1985 -86), 249-270 (with P.K. Kamtham). MR 88f:30042.

59.

On the spiral-like of rational functions. Rend. Cir. Mat. Palermo. 35 (1986), 376-385 (with O.P. Ahuja). MR 89b:30007.

b) Articles (not abstracts) published in Seminars, Symposia, Conference volumes etc. Research Papers 1.

Quasi boundedly complete and shrinking minimal sequences of subspaces of a Banach space. Proceedings of Int. Conf. on Invarient Subspaces and Allied Topics, University of Delhi, Dec. 1986. Narosa Pub. House, New Delhi (1990), 99-102 (with K. Ahmad).

2.

Boundedly complete bases in various locally convex spaces. Proc. Int. Conf. Maths. Delhi University (1990). Lecture Notes in Mathematics, Springer-Verlag, 1511(1992), 128-140 (with A.M. Jarrah and D.P. Sinha). MR 93h:46005.

3.

On Grothendieck spaces with PRI, Functional Analysis with Current Applications in Science, Technology and Industry. (Eds : M. Brokate and A.H. Siddiqui), Pitman Research Notes in Mathematics Series 377(1998), 70-81 (with D.P. Sinha and K.K. Arora). MR 99c:46010.

4.

Inequalities involving dual of some averaging operators. In: Geometry, Anlysis and Applications (Ed.: R.S.Pathak), World Sceintific, 2001, 349-357 (with Pankaj Jain and R. Hasija)

5.

A two dimensional Knopp inequality with weights. In : Analysis and Applications (Eds.: H.P.Dikshit and Pawan K. Jain). Narosa Publishing House, New Delhi, 2002, 93-100 (with Pankaj Jain and A.P.Singh).

Expository Papers/Lectures delivered in Conferences etc. 1.

On bases in spaces over non-archimedean fields. Aligarh Bull. Math., 7(1977), 23-30.

2.

Certain recent developments in non-archimedean analysis. In: Proceedings of the Seminar on Recent Developments in Mathematics and its Applications Mehta Research Institute of Mathematics, Allahabad, 1978.

3.

Markushevic bases in Banach spaces and their conjugate spaces. In: Proc. Levi Seminar on Mathematics. University of Calcutta (1989), 19-29.

4.

Retention of certain properties of bases under various locally convex topologies. In: Proc. Bienniel Conf. Allahabad Math. Soc., (1990), C 97 -109.

5.

Approximation properties in Banach spaces – A survey. Bull. Allahabad Math. Soc., 6 (1991), 2982 (with D.P. Sinha). MR 96h:46009.

6.

Certain recent refinements of Sobolev spaces Inequalities: In: Fourier Analysis, Approximation Theory and Applications (an outcome of the Proceedings of an International Conference). (Editors: Z.U. Ahmad, N.K. Govil and P.K. Jain). New Age International (P) Limited, New Delhi (1997), 101 -114. (with Pankaj Jain), MR 99f:46044.

7.

Some recent breakthroughs in the theory of bases in Banach spaces. In: Functional Analysis Selected topics. (Editor : P.K. Jain). Narosa Publishing House, New Delhi, 1998, 56-65 (with D.P. Sinha),

6

8.

Projectional resolutions of the identity of Banach spaces. In: Functional Analysis – Selected Topics. (Editor : P.K. Jain). Narosa Publishing House, New Delhi, 1998, 66-73 (with D.P. Sinha and K.K. Arora),

9.

Recent trends in Functional Analysis and Applications. In: Souvenir, Centenary year of the Department of Mathematics, B.H.U. (1898-1998), 130-138.

10.

Imbeddings of weighted Sobolev spaces. In: Function Spaces and Applications. (Editors : D.E. Edmunds, P.K. Jain, Pankaj Jain, A. Kufner, L. E. Persson and S. Saitoh). Narosa Publishing House, New Delhi/ Alpha Science International Ltd. U.K./ CRC Press, New York, 2000, 98-116 (with Pankaj Jain)

11.

Various aspects of Sobolev spaces - in particular- imbeddings. (In : Proceedings of the International Congress of Ghyath-Al-Din Jamshid Kashani (ICGK -2000) held at Kashan University, Iran) International Journal of Sci. & Techn. Univ. Kashan (Trans. A: Sciences) 1(2000), 41 -58.

12.

Certain imbeddings of weighted Sobolev spaces. (In : Proceedings of the International Congress of Ghyath-Al-Din Jamshid Kashani (ICGK-2000) held at Kashan University, Iran) International Journal of Sci. & Techn. Univ. Kashan (Trans. A: Sciences) –to appear.

c) Books Text Books 1.

A text Book of Analytical Geometry of Two Dimensions. Wiley Eastern Limited, New Delhi, 1983. nd Revised 2 Ed. July 1986. Corrected Reprint January 1991. Second Reprint July 1994. Reprint 2003. (with Khalil Ahmad).

2.

A Text Book of Analytical Geometry of Three Dimensions. Wiley Eastern Limited, New Delhi, 1986. Reprint August 1987. Revised 2nd Ed. February 1991. Reprint November 1994. Reprint 1999. Reprint 2003. (with Khalil Ahmad).

3.

Lebesgue Measure and Integration. Wiley Eastern Limited, New Delhi, 1986 (A Halsted Press Book : John Wiley & Sons 1986). Reprint January 1987. Second Reprint February 1989. Third Reprint August 1994. Fourth Reprint July 1998. Fifth Reprint 2000, Reprint 2002 (with V.P. Gupta). MR 88b:28001a, 28001b.

4.

Metric Spaces. Narosa Publishing House, New Delhi, May 1993. First Reprint 1996. Reprint 1999. Second Edition- in press (with Khalil Ahmad).

5.

Functional Analysis. New Age International (P) Limited & Wiley Eastern Limited, New Delhi 1995 (A halsted Press Book : John Wiley & Sons 1995) First Corrected Reprint 1997. (with O.P. Ahuja and Khalil Ahmad).

6.

One Chapter for Mathematics (Class XI), 2002 and one Chapter for Mathematics (Class XII), 2003 published by National Council of Educational Research and Training (NCERT), New Delhi.

Second

Edited Books 1.

Abridged and edited the English translation of the book Introduction to the Theory of Cubature Formulas, Izdet. Nauka, (Moskow), 1974 by Academician S.L. Sobolev (originally in Russian) and appeared under the title ”An Introduction to Theory of Cubature Formulas and Some Aspects of Modern Analysis”, Oxonian Press Pvt. Ltd., New Delhi, 1992. The above book also appeared under the title “Cubature Formulas and Modern Analysis: An Introduction”, Gordon & Breach, London, 1992.

2.

Fourier Analysis, Approximation Theory and Applications (an outcome of the Proceedings of the International Conference held at AMU, Aligarh during September 6-9, 1993). New Age International (P) Limited, New Delhi, 1997. (with Z.U. Ahmad and N.K. Govil). MR 99d:*00019.

7

3.

Functional Analysis- Selected Topics (In the honour of Late Professor P.K. Kamthan). Narosa Publishing House, New Delhi, 1998. (accepted by American Mathematical Society) MR 99h:*00036.

4.

Sequences Spaces and Application (In the honour of Late Professor P.K. Kamthan). Narosa Publishing House, New Delhi, 1999. (with Eberhard Malkowsky).

5.

Function Spaces and Applications to Partial Differential Equations (an outcome of the International Conference held at University of Delhi during December 15-19, 1997). Narosa Publishing House, New Delhi/ Alpha Science International Ltd. U.K./ CRC Press, New York, 2000 (with D.E. Edmunds, Pankaj Jain, A. Kufner, L.E. Persson and S. Saitoh).

6.

Wavelets and Allied Topics (an outcome of the International Instructional Workshop held at the University of Delhi, Delhi during August 16-27, 1999). Narosa Publishing House, New Delhi/ Alpha Science International Ltd. U.K., 2001(with M.Krishna, H.N. Mhaskar, J. Prestin and D. Singh).

7.

Analysis and Applications (an outcome of the conference organized in the honour of Professor T. Pati at Ujjain during February 12-14, 2000). Narosa Publishing House, New Delhi 2002 (with H.P. Dikshit).

8.

Mathematics (Text Book for Clas s XI)- Parts I & II published by National Council of Educational Research and Training (NCERT), New Delhi, 2002. (with Hukum Singh)

9.

Mathematics (Text Book for Class XII)- Parts I & II published by National Council of Educational Research and Training (NCERT), New Delhi, 2003. (with Hukum Singh)

8