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Distributional Integral Transforms 1st Edition

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Distributional Integral Transforms 1st Edition,8172334168,9788172334161

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Book Information

Publisher:Scientific Publishers
Published In:2005
ISBN-10:8172334168
ISBN-13:9788172334161
Binding Type:Hardback
Pages:pp. xviii + 159, References

The Title "Distributional Integral Transforms 1st Edition" is written by P.K. Banerji. This book was published in the year 2005. The ISBN number 8172334168|9788172334161 is assigned to the Hardback version of this title. The book displayed here is a 1st Edition edition. This book has total of pp. xviii + 159 (Pages). The publisher of this title is Scientific Publishers. Distributional Integral Transforms 1st Edition is currently Available with us.

About the Book

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 distributions, the Boehmians. The tempered distribution and utilizations 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.

Review..... Authors have taken all possible majors to indicate the entire existing directions of investigations done all date. The entire text indicates the authors' enviable power of exposition. Every research worker working in these fields will love to posses a copy of learned research work. - Professor Jyoti Das, Professor of Higher Mathematics, Department of Pure Mathematics, University of Calcutta, Kolkata, India

Review..... Having examined the book extensively, I found it extremely useful to research workers and the post graduate students. Four chapters, which constitute this learned research work, contain reputed work of authors and I admire the lucid language in which it is presented. The chapter on the wavelet transforms and Boehmians, which are new concepts, have been handled very carefully. I, therefore, have no hesitation in recommending the present work for its publication under UGC program. - Professor Prem Chandra, School of Studies in Mathematics, Vikram University, Ujjain, India.

About the Author

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.

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.

Contents

1. Enriching the Philosophy of Mathematics: Theory of Distributions and Transform Analysis
2 Distributional Integral Transforms, Operational Formula and Abelian Theorems for Generalized Transformations
3 On Sequential Approach to Tempered Distributions, The Ultradisributions and Distributions of Slow Growth for the Integral Transforms
4 The Mellin Transform of Boehmians and The Wavelet Transforms