The present Learned Research Work is an exhaustive survey and researches carried out by the authors, which led to the theories of distributions, generalized functions and transforms involving them, which includes interesting results and the fundamental concepts of the youngest generalization of Schwartz theory of distribution, the Boehmians. The tempered distribution and ultradistributions have been described, which provide suitable platforms for the generalizations of Fourier transforms, Stieltjes and Mellin transforms. To overcome the Fourier series, this work includes wavelet transform, for which meticulous extensive study of the existing literature has been produced including recent researches carried out by the authors. This compilation, in the form of the present book, is believed to be of help to researchers in the field of distribution and transform analysis and, may even be treated as the reference book to post graduate students.
ABOUT THE AUTHOR Deshna Loonker
Dr. Deshna Loonker, a Gold Medalist at the M.Sc. Examination 1998 from JNV University, Jodhpur (India), earned her Ph.D. in 2001. Her research interests are Generalized Functions, Boehmians and Integral Transforms. She holds memberships of many learned Academic Bodies of India and has published 21 research papers in national and international journals of repute and, presented research papers at 20 national and international conferences.
ABOUT THE AUTHOR P.K. Banerji
Dr. P.K. Banerji, Associate Professor of Mathematics in the Department of Mathematiucs, J.N.V. University, Jodhpur (India), has earned his Ph.D. in 1970 from the then University of Jodhpur. His research interests are Genealized Functions, Integral Transforms and Fractional Calculus, he has completed six research projects of UGC, CSIR, and DST. He is teaching at the JNV university for the last twenty nine years and, has 120 research publications in national and international journals of repute.
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