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Analysis on Lie Groups - An Introduction (Hardcover)
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Analysis on Lie Groups - An Introduction (Hardcover)
Series: Cambridge Studies in Advanced Mathematics
Expected to ship within 10 - 15 working days
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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.
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