Analysis on Lie Groups
By (author) Jacques Faraut
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Analysis on Lie Groups by Jacques Faraut
Book DescriptionThe 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.
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Book DetailsISBN: 9780521719308
(228mm x 152mm x 22mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 22-May-2008
Country of Publication: United Kingdom
Books By Author Jacques Faraut
Analysis on Symmetric Cones, Hardback (December 1994)» View all books by Jacques Faraut
This monograph treats the analysis of symmetric cones in a systematic way. It discusses harmonic analysis and special functions associated with symmetric cones; it also tries these results together with the study of holomorphic functions on bounded symmetric domains of tube type.
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Author Biography - Jacques Faraut
Jacques Faraut is Professeur Emerite in the Institut de Mathematiques de Jussieu at the Universite Pierre et Marie Curie in Paris.
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