Analysis on Lie Groups: An Introduction - Couverture rigide

Faraut, Jacques

Couverture rigide

ISBN 10 : 0521719305 ISBN 13 : 9780521719308

Editeur : Cambridge University Press, 2008

Synopsis

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 propos du livre

À propos de l?auteur

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

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 0521719305
• ISBN 13: 9780521719308
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 314
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France