000			02368nam a22003257a 4500
005			20220512112933.0
008			220512b |||||||| |||| 00| 0 eng d
020			_a9780821842898
028			_a:Technical Bureau India Pvt. Ltd. _b:E/261, Shastri Nagar Delhi _c:TB345 _d:06/05/2022
082			_a515.2433 WOL
100			_aWolf, Joseph Albert
245			_aHarmonic Analysis on Commutative Spaces _c/ Joseph Albert Wolf
260			_aProvidence, R.I. _b : American Mathematical Society, _c ©2007.
300			_axv, 387p _b: illustrations _c; 27 cm
365			_b9097
490			_aMathematical surveys and monographs, no. 142.
505			_a General theory of topological groups -- Basic topological group theory -- Some examples -- Integration and convolution -- Representation theory and compact groups -- Basic representation theory -- Representations of compact groups -- Compact Lie groups and homogeneous spaces -- Discrete co-compact subgroups -- Introduction to commutative spaces -- Basic theory of commutative spaces -- Spherical transforms and Plancherel formulae -- Special case: Commutative groups -- Structure and analysis for commutative spaces -- Riemannian symmetric spaces -- Weakly symmetric and reductive commutative spaces -- Structure of commutative nilmanifolds -- Analysis on commutative nilmanifolds -- Classification of commutative spaces.
520			_aThis book starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces. Those spaces form a simultaneous generalization of compact groups, locally compact abelian groups, and riemannian symmetric spaces. Their geometry and function theory is an increasingly active topic in mathematical research, and this book brings the reader up to the frontiers of that research area with the recent classifications of weakly symmetric spaces and of Gelfand pairs.
650			_aMathematics
650			_aAnalysis
650			_aHarmonic analysis.
650			_aTopological groups.
650			_aFourier Analysis
650			_aGroupes abéliens.
650			_aTopologische Gruppe
650			_aAnalyse harmonique.
650			_aGroupes abéliens.
700			_aWolf, Joseph Albert
942			_cBOOK
999			_c59203 _d59203