Analysis on Lie Groups

An Introduction

By:

Jacques Faraut

Format:

Hardback

Series:

Cambridge Studies in Advanced Mathematics

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Description

The subject of analysis on Lie groups comprises an eclectic group of topics which can be treated from many different perspectives. This self-contained text concentrates on the perspective of analysis, to the topics and methods of non-commutative harmonic analysis, assuming only elementary knowledge of linear algebra and basic differential calculus. The author avoids unessential technical discussions and instead describes in detail many interesting examples, including formulae which have not previously appeared in book form. Topics covered include the Haar measure and invariant integration, spherical harmonics, Fourier analysis and the heat equation, Poisson kernel, the Laplace equation and harmonic functions. Perfect for advanced undergraduates and graduates in geometric analysis, harmonic analysis and representation theory, the tools developed will also be useful for specialists in stochastic calculation and the statisticians. With numerous exercises and worked examples, the text is ideal for a graduate course on analysis on Lie groups.

Author Biography:

Jacques Faraut is Professeur Émérite in the Institut de Mathématiques de Jussieu at the Université Pierre et Marie Curie in Paris.

Release date Australia

May 22nd, 2008

Author

Jacques Faraut

Audience

Postgraduate, Research & Scholarly

Illustrations

Worked examples or Exercises; 6 Line drawings, unspecified

Pages

314

Series

Cambridge Studies in Advanced Mathematics

Dimensions

155x235x20

ISBN-13

9780521719308

Product ID

2523102

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