INTRODUCTION TO CLASSICAL AND MODERN ANALYSIS AND THEIR APPLICATION TO GROUP REPRESENTATION THEORY - Softcover

Basu, Debabrata

Softcover

ISBN 10: 9814273309 ISBN 13: 9789814273305

Publisher: World Scientific Publishing Company, 2011

Synopsis

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.

About this title

From the Back Cover

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 CauchyPochhammer theory with the HadmardReiszSchwartzGel'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 CauchyPochhammer theory of gamma, beta and zeta function in a form which has not been presented so far in any treatise of classical analysis.

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2011
• Language: English
• ISBN 10: 9814273309
• ISBN 13: 9789814273305
• Binding: Paperback
• Number of pages: 388