000			02681nam a22003618i 4500
001			CR9780511755170
003			UkCbUP
005			20200124160219.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100422s2008||||enk o ||1 0|eng|d
020			_a9780511755170 (ebook)
020			_z9780521719308 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA387 _b.F37 2008
082	0	0	_a512/.482 _222
100	1		_aFaraut, Jacques, _d1940- _eauthor.
245	1	0	_aAnalysis on Lie groups : _ban introduction / _cJacques Faraut.
264		1	_aCambridge : _bCambridge University Press, _c2008.
300			_a1 online resource (x, 302 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge studies in advanced mathematics ; _v110
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_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.
520			_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.
650		0	_aLie groups.
650		0	_aLie algebras.
776	0	8	_iPrint version: _z9780521719308
830		0	_aCambridge studies in advanced mathematics ; _v110.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511755170
999			_c516577 _d516575