Research

Research Experience

[a]	Has 121 publications to his credit, co-authored a book on Industrial Mathematics, Kluwer Academic Publishers, Boston, USA, with Prof. Helmut Nenuzert, edited jointly with Prof. M. Brokate in 1997, proceeding of an internalational conference on Functional Analysis with Current Applications to Science, Technology and Industry, Vol. 377, Pitman Research Notes in Mathematics, Longman, U.K., author of 4 books, edited 6 Proceedings of conferences containing valuable research papers including 10 of his own papers. His book on "Applied Functional Analysis" has been published by Marcel Dekker, New York in September 2003. For details see item publications. Guided succeefully 24 Ph. D. and 28 M. Phil students in India & abroad.
[b]	Working as a Principle Investigator in a research project entitled "Saving Sensors" of KFUPM with (2) colleagues of Mathematical Sciences department as Co-Investigators.
[c]	His book on Industrial Mathematics jointly with Professor Neunzert has been Published by Kluwer Academic Publishers, Boston-London-Dordrecht in 2000
[e]	Has contributed a chapter in a book on Vector Variational Inequalities edited by F. Giannessi, Kluwer Academic Publishers, Boston-London-Dordrecht, January 2000
[f]	Lead Editor of a theme issue of Arabian Journal of Science & Engineering in 2 volumes, to be published in 2003 & 2004.
[g]	Honored in Delhi I IT by some Indian organizations for making valueable contribution in promoting teaching and research of applications of Mathematics to real world problems, February 2002.
[h]	His 3 research papers and a research monograph have been referred in a reputed basic research book by F. Schipp, W.R. Wade, P. Simon entitled, Walsh Series - an introduction to Dyadic harmonic analysis, Academy of Hungary, in co-edition with Adam Hilger, Bristol, New York, 1990
[i]	One of his research papers has been referred to in a book entitled 'Sequency theory, Foundations and Applications (Advances in Electronics and Electron Physics) Academic Press-New York, 1977 by Henning F. Harmut
[j]	Three of his research papers have been referred in a book 'Applications of Walsh Functions and Sequence theory IEEE Press - New York, 1974' by H.Schreiber and G.F. Sandy.
[k]	One of his research papers has been referred by the Russian Mathematicians L. A. Balasov and A. I. Rubinstein, [On Walsh functions, Akad Nauk SSSR Vsesuzoz. Inst. Nauk Tehn. Informacell, Moscow 1971].
[l]	Some results of his Ph.D. thesis have been cited by Prof. S. Izumi and Dr. (Mrs.) M. Izumi of Australian Nation University Canberra in their research articles [Journal of Mathematics and Mechanics (USA) 18(1969)857- 870 and Proceedings of the Japan Academy of Sciences 44(1968),418 - 423)].
[m]	Reference of his research work is also given by Dr. Horward T. Bell of Lehigh University, Bethelehem, Pennsylvania 18015 USA [Proceedings of the American Mathematical Society 38(1973), 548 - 52].
[n]	Four of his research papers have been referred by Prof. William R. Wade of the University of Tennessee, USA [Internat. J. Math. Sci. Vol.5 No.4(1982)625- 637].
[o]	Two of his theorems have been referred by Prof. Holland of Canada [Society of Industrial and Applied Mathematics Review (SIAM Review) USA 1981- 82].
[p]	Two of his papers have been cited in Contemporary Mathematics, Vol. 208 (1997), pp. 313-350 by Prof. W. Wade, Tennessi University, USA.
[q]	His monograph on Walsh function has been cited in a book Review on Walsh series and transforms, by Golubav, Effimov, and Skvortsov Kluwer Academic Publishers, Dordrecht, The Netherlands, 1990 Book Review in Bulletin of the Amer Math. Soc., vol. 26, 1992, pp. 348-359.
[r]	His research work has been referred by Prof. F. Moricz, Visiting Professor, University of Tennesse in his research paper published in J. Math. Anal. and Appl. (USA), 146 (1990), 99-109 and Proc-Edinburgh Math. Soc., 1991 (U.K.).
[s]	Four of his papers on variational inequalities have been cited in a book by G.X-Z yuan, KKM Theory and applications in non-linear analysis Marcel Dekker, Inc. New York, Basel, 1999.
[t]	Seven of his papers are cited in a book edited by F. Giannessi, Kluwer Academic Publishers, Boston-London-Dordrecht, January 2000.
[u]	His several other research papers have been cited in the Research papers published in North America, Europe, Japan and India.
[v]	One of his research papers was adjudged as the 2nd best paper in the Conference of Matrix Analysis and its applications to Science and Technology (held at the National Aeronautical Laboratory, Bangalore, sponsored by the CSIR) by a committee of eminent mathematicians and Physicists.

Research Problems Currently Under Investigation

[1]	A wavelet Based Conjugate Gradient Method for Solving Black-Scholes Model for Option Pricing.
[2]	Wavelet based Time Series Analysis of Real World Systems
[3]	Approximation and Related Issues in Time Frequency Analysis.
[4]	Real World Systems and Hurst Exponent.
[5]	Hausdorff Measure Spectrum and Complex Structures
[6]	Genereralized Veriational Inequalities