Noncommutative harmonic analysis

Patrick Delorme, Michèle Vergne - Collection Progress in Mathematics

510 pages, parution le 25/03/2004

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Résumé

Ouvrage rédigé en anglais et en français

This volume is devoted to the theme of Noncommutative Harmonic Analysis and consists of articles in honor of Jacques Carmona, whose scientific interests range through all aspects of Lie group representations.

Thus, the topics encompass the theory of representations of reductive Lie groups, and especially the determination of the unitary dual, the problem of geometric realizations of representations, harmonic analysis on reductive symmetric spaces, the study of automorphic forms, and results in harmonic analysis that apply to the Langlands program. General Lie groups is also discussed, particularly from the orbit method perspective, which has been a constant source of inspiration for both the theory of reductive Lie groups and for general Lie groups. Also covered is Kontsevich quantization, which has appeared in the recent years as a powerful tool.

Sommaire

Morris identities and the total residue for a System of type Ar (Velleda Baldoni-Silva and Michèle Vergne)
A reduction theorem for the unitary dual of U(p, q) (Dan Barbasch)
Symmetric spaces and star representations III The Poincaré disc (P Bieliavsky and M Pevzner)
Local zeta functions for a class of symmetric spaces (Nicole Bopp and Hubert Rubenthaler)
Quelques remarques sur les distributions invariantes dans les algèbres de Lie réductives (Abderrazak Bouaziz )
Espace des coefficients de représentations admissibles d'un groupe réductif p-adique (Patrick Delorme)
Dualité entre G/Gs et le groupe renversé -GR (P Harinck and M -N Panichi)
Sur certains espaces d'homologie relative d'algèbres de Lie : cas des polarisations positives (Annie Hersant)
La formule de Plancherel pour les groupes de Lie presque algébrique réels (M S Khalgui and P Torasso)
Analytic continuation of nonholomorphic discrete series for classical groups (A W Knapp)
A branching law for subgroups fixed by an involution and a noncompact analogue of the Borel-Weil theorem (Bertram Kostant)
Representations of SLi and the distribution of points in P" (J Kuttler and N R Wallach)
A localization argument for characters of reductive Lie groups: an introduction and examples (Matvei Libine)
Intertwining ladder representations for SU(p, q) into Dolbeault cohomology (John D Lorch, Lisa A Mantini, and Jodie D Novak)
Summation formulas, from Poisson and Voronoi to the present (Stephen D Miller and Wilfried Schmid)
McKay's correspondence and characters of finite subgroups of SU(2) (W Rossmann)
Méthodes de Kashiwara-Vergne-Rouvière pour les espaces symétriques (C Torossian)
Einstein integrals and induction of relations (E P van den Ban)

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	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Patrick Delorme, Michèle Vergne
Collection	Progress in Mathematics
Parution	25/03/2004
Nb. de pages	510
Format	16 x 24
Couverture	Relié
Poids	876g
Intérieur	Noir et Blanc
EAN13	9780817632076
ISBN13	978-0-8176-3207-6