Noncommutative Harmonic Analysis -

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Résumé :
Dedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, the volume presents excellent invited/refereed articles by top notch mathematicians. Topics cover general Lie theory, reductive Lie groups, harmonic analysis and the Langlands program, automorphic forms, and Kontsevich quantization. Good text for researchers and grad students in representation theory.

Sommaire:
Morris identities and the total residue for a system of type Ar.- A reduction theorem for the unitary dual of U(p, q).- Symmetric spaces and star representations III. The Poincar? disc.- Local zeta functions for a class of symmetric spaces.- Quelques remarques sur les distributions invariantes dans les alg?bres de Lie r?ductives.- Espace des coefficients de repr?sentations admissibles d'un groupe r?ductif p-adique.- Dualit? entre G/G? et Ie groupe renvers? ?G?.- Sur certains espaces d'homologie relative d'alg?bres de Lie: cas des polarisations positives.- La formule de Plancherel pour les groupes de Lie presque alg?brique r?els.- Analytic continuation of nonholomorphic discrete series for classical groups.- A branching law for subgroups fixed by an involution and a noncompact analogue of the Borel-Weil theorem.- Representations of SL2and the distribution of points in ?n.- A localization argument for characters of reductive Lie groups: an introduction and examples.- Intertwining ladder representations for SU(p, q)into Dolbeault cohomology.- Summation formulas, from Poisson and Voronoi to the present.- McKay's correspondence and characters of finite subgroups of SU(2).- M?thodes de Kashiwara-Vergne- Rouvi?re pour les espaces sym?triques.- Einstein integrals and induction of relations.