Analysis on Lie Groups

Author: Faraut

Brand: Cambridge University Press

Edition: 1

Binding: hardcover

Format: Illustrated

Number Of Pages: 302

Release Date: 22-05-2008

Part Number: RKC1007815309

Details: Product 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.
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.

EAN: 9780521719308

Package Dimensions: 9.4 x 6.3 x 1.0 inches

Languages: English