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.

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 Emerite in the Institut de Mathematiques de Jussieu at the Universite Pierre et Marie Curie in Paris.

Reviews
"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 Information
ISBN 9780521719308
Author Jacques Faraut
Format Hardback
Page Count 314
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 550g
Dimensions(mm) 235mm * 155mm * 20mm