Faraut, Jacques <br/><br/>
Analysis on lie groups 

 - Cambridge:  Cambridge University Press,  2008. 
 - x, 302p. : ill. ;  hb,  23 cm. 
 - Cambridge Studies in Advanced Mathematics ; 110 .
<br/><br/>Includes bibliographical and indexes. 
<br/><br/> "The subject of analysis on Lie groups comprises an eclectic group of topics that 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 statisticians. With numerous exercises and worked examples, the text is ideal for a graduate course on analysis on Lie groups."--BOOK JACKET.<br/> 
<br/><br/><label>ISBN: </label>9780521719308 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Lie groups<br/>Lie algebras<br/>Mathematics and differential equation<br/>Algebra<br/>Calculus and mathematical analysis
<br/><br/><label>Dewey Class. No.: </label>512.482  / FAR