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101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAnalysis on Lie groups $ean introduction /$fJacques Faraut$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2008.
215   $a1 online resource (x, 302 pages) $cdigital, PDF file(s)
225 1 $aCambridge studies in advanced mathematics ;$v110
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a0-521-71930-5 
320   $aIncludes bibliographical references (p. 299-300) and index.
327   $aThe linear group -- The exponential map -- Linear Lie groups -- Lie algebras -- Haar measure -- Representations of compact groups -- The groups SU(2) and SO(3), Haar measure -- Analysis on the group SU(2) -- Analysis on the sphere and the Euclidean space -- Analysis on the spaces of symmetric and Hermitian matrices -- Irreducible representations of the unitary group -- Analysis on the unitary group.
330   $aThe subject of analysis on Lie groups comprises an eclectic group of topics which can be treated from many different perspectives. This self-contained text concentrates on the perspective of analysis, to the topics and methods of non-commutative harmonic analysis, assuming only elementary knowledge of linear algebra and basic differential calculus. The author avoids unessential technical discussions and instead describes in detail many interesting examples, including formulae which have not previously appeared in book form. Topics covered include the Haar measure and invariant integration, spherical harmonics, Fourier analysis and the heat equation, Poisson kernel, the Laplace equation and harmonic functions. Perfect for advanced undergraduates and graduates in geometric analysis, harmonic analysis and representation theory, the tools developed will also be useful for specialists in stochastic calculation and the statisticians. With numerous exercises and worked examples, the text is ideal for a graduate course on analysis on Lie groups.
410  0$aCambridge studies in advanced mathematics ;$v110.
606   $aLie groups
606   $aLie algebras
615  0$aLie groups.
615  0$aLie algebras.
676   $a512/.482
700   $aFaraut$b Jacques$f1940-$056814
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910453780403321
996   $aAnalysis on Lie groups$9718896
997   $aUNINA