Analysis on Lie Groups
An Introduction (Cambridge Studies in Advanced Mathematics)
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Word Count
79,500 words, Guess
Page Count
318 pages
Physical Format
Hardcover
Identifiers
- Open LibraryOL10437181M
- ISBN-139780521719308
- ISBN-100521719305
- OCLC Control Number186349511
- OCLC Control Numberanalysisonliegro00fara_913
and 2 more
- Library of Congress Control Number2007053046
- Goodreads4087906
Classifications
- LCCQA387.F37 2008
- DDC512/.482
- LCCQA387 .F37 2008
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.
Subjects
Other Editions
- Analysis on Lie Groups
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