# 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

**Other Format:**doc lit txt mobi

# 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.