03495nam 22006732 450 991045378040332120151005020621.01-107-17398-11-281-77553-397866117755370-511-42350-00-511-42230-X0-511-42398-50-511-42164-80-511-75517-10-511-42296-2(CKB)1000000000555775(EBL)355437(OCoLC)476178251(SSID)ssj0000102989(PQKBManifestationID)11127632(PQKBTitleCode)TC0000102989(PQKBWorkID)10081346(PQKB)11678474(UkCbUP)CR9780511755170(MiAaPQ)EBC355437(PPN)145097269(Au-PeEL)EBL355437(CaPaEBR)ebr10246215(CaONFJC)MIL177553(EXLCZ)99100000000055577520100422d2008|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierAnalysis on Lie groups an introduction /Jacques Faraut[electronic resource]Cambridge :Cambridge University Press,2008.1 online resource (x, 302 pages) digital, PDF file(s)Cambridge studies in advanced mathematics ;110Title from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-71930-5 Includes bibliographical references (p. 299-300) and index.The 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.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.Cambridge studies in advanced mathematics ;110.Lie groupsLie algebrasLie groups.Lie algebras.512/.482Faraut Jacques1940-56814UkCbUPUkCbUPBOOK9910453780403321Analysis on Lie groups718896UNINA