Analysis on Lie Groups: An Introduction (Cambridge Studies in Advanced Mathematics, Series Number 110)

Faraut, Jacques

ISBN 10: 0521719305 / ISBN 13: 9780521719308

Published by Cambridge University Press, 2008

About this Item

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Bibliographic Details

• Title: Analysis on Lie Groups: An Introduction (Cambridge Studies in Advanced Mathematics, Series Number 110)
• Publisher: Cambridge University Press
• Publication Date: 2008
• Language: English
• ISBN 10: 0521719305
• ISBN 13: 9780521719308
• Binding: Hardcover
• Condition: good

About this title

Synopsis

This self-contained text concentrates on the perspective of analysis, assuming only elementary knowledge of linear algebra and basic differential calculus. The author describes, in detail, many interesting examples, including formulas 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.

About the Author

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