Noncommutative harmonic analysis : in honor of Jacques Carmona

書誌事項

Noncommutative harmonic analysis : in honor of Jacques Carmona

Patrick Delorme, Michèle Vergne, editors

(Progress in mathematics, v. 220)

Birkhäuser, c2004

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注記

Text in English and French

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

Preface * Jacques Carmona * Baldoni-Silva/Vergne: Morris identities and the total residue for a system of type Ar * Barbasch: A reduction theorem for the unitary dual of U(p,q) * Bieliavsky/Pevzner: Symmetric spaces and star representations III. The Poincare disc * Bopp/Rubenthaler: Local zeta functions for a class of symmetric spaces * Bouaziz: Quelques remarques sur les distributions invariantes dans les algebres de Lie reductives * Delorme: Espace des coefficients de representations admissibles d'un groupe reductif p-adique * Harinck/Panichi: Dualite entre G/Gr et le groupe renverse -Gr * Hersant: Sur certains espaces d'homologie relative d'algebres de Lie: cas des polarisations positives * Khalgui/Torasso: La formule de Plancherel pour les groupes de Lie presque algebrique reels * Knapp: Analytic continuation of nonholomorphic discrete series for classical groups * Kostant: A branching law for subgroups fixed by an involution and a noncompact analogue of the Borel-Weil theorem * Kuttler/Wallach: Representations of SL2 and the distribution of points in Pn * Libine: A localization argument for characters of reductive Lie groups: an introduction and examples * Lorch/Mantini/Novak: Intertwining ladder representations for SU(p,q) into Dolbeault cohomology * Miller/Schmid: Summation formulas, from Poisson and Voroni to the present * Rossmann: McKay's correspondence and characters of finite subgroups of SU(2) * Torossian: Methodes de Kashiwara-Vergne-Rouviere pour les espaces symetriques * van den Ban: Einstein integrals and induction of relations

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