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

Debabrata Basu

ISBN 10: 9814273295 / ISBN 13: 9789814273299

Editore: World Scientific Publishing Company, Incorporated, 2011

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Codice articolo 261415838

Dati bibliografici

• Titolo: Introduction to Classical and Modern Analysis and their Application to Group Representation Theory
• Editore: World Scientific Publishing Company, Incorporated
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 9814273295
• ISBN 13: 9789814273299
• Rilegatura: Brossura
• Condizione: Used

Descrizione articolo

Riassunto

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.

Recensione

"This book is an interesting and friendly collection of topics that are very useful to anyone interested in mathematical physics. Examples are used throughout the book to give an immediate reinforcement of the definitions and theorems discussed. This book will indubitable provide a good idea of the kind of mathematics needed in mathematical physics, as well as the tools and understanding necessary to do relevant work in this field." -- MathSciNet

"The unsophisticated presentation makes it easily accessible for MSc and PhD students who can learn enough of both disciplines in parallel." --Zentralblatt MATH