Analysis on lie groups

By:

Faraut, Jacques

Series: Cambridge Studies in Advanced Mathematics ; 110Publication details: Cambridge University Press, 2008. Cambridge:Description: x, 302p. : ill. ; hb, 23 cmISBN:

9780521719308

Subject(s):

DDC classification:

512.482 FAR

Summary: "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.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	512.482 FAR (Browse shelf(Opens below))	Available		030059

Includes bibliographical and indexes.

"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.

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