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

Description

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.

User’s Reviews

Editorial Reviews: Review “The main themes are carefully explained and illustrated by well-chosen examples. He succeeds in putting a remarkable wealth of material into a 300-page book which will certainly serve as a basis for many courses on the subject.” Joachim Hilgert, Mathematical Reviews Book Description A self-contained and elementary presentation of Lie group theory, with numerous exercises and worked examples ideal for a graduate course. About the Author Jacques Faraut is Professeur Émérite in the Institut de Mathématiques de Jussieu at the Université Pierre et Marie Curie in Paris. Read more

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