Introduction to Classical and Modern Analysis and Their Application to Group Representation Theory

Introduction to Classical and Modern Analysis and Their Application to Group Representation Theory by Debabrata Basu

Title: Introduction to Classical and Modern Analysis and Their Application to Group Representation Theory
Author: Debabrata Basu
ISBN10: 9814273309
ISBN13: 978-9814273305
Publisher: World Scientific Publishing Company (March 3, 2011)
Language: English
Subcategory: Mathematics
Size PDF: 1700 kb
Size Fb2: 1796 kb
Rating: 4.5/5
Votes: 308
Pages: 388 pages
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Introduction to Classical and Modern Analysis and Their Application to Group Representation Theory by Debabrata Basu


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This book is suitable for use in any graduate course on analytical methods and their application to representation theory. Each concept is developed with special emphasis on lucidity and clarity. The book also shows the direct link of Cauchy-Pochhammer theory with the Hadamard-Reisz-Schwartz-Gel'fand et al. regularization. The flaw in earlier works on the Plancheral formula for the universal covering group of SL(2,R) is pointed out and rectified. This topic appears here for the first time in the correct form.

Existing treatises are essentially magnum opus of the experts, intended for other experts in the field. This book, on the other hand, is unique insofar as every chapter deals with topics in a way that differs remarkably from traditional treatment. For example, Chapter 3 presents the Cauchy-Pochhammer theory of gamma, beta and zeta function in a form which has not been presented so far in any treatise of classical analysis.

Readership: Academics, research scholars and graduate students of mathematical physics, mathematics and theoretical physics.