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Noncommutative Harmonic Analysis Patrick Delorme

Noncommutative Harmonic Analysis By Patrick Delorme

Noncommutative Harmonic Analysis by Patrick Delorme


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Summary

Dedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, this volume presents refereed articles by mathematicians. It covers the topics of general Lie theory, reductive Lie groups, harmonic analysis and the Langlands program, automorphic forms, and Kontsevich quantization.

Noncommutative Harmonic Analysis Summary

Noncommutative Harmonic Analysis: In Honor of Jacques Carmona by Patrick Delorme

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.

Table of Contents

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 Poincare disc.- Local zeta functions for a class of symmetric spaces.- Quelques remarques sur les distributions invariantes dans les algebres de Lie reductives.- Espace des coefficients de representations admissibles dun groupe reductif p-adique.- Dualite entre G/G? et Ie groupe renverse ?G?.- Sur certains espaces dhomologie relative dalgebres de Lie: cas des polarisations positives.- La formule de Plancherel pour les groupes de Lie presque algebrique reels.- 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.- McKays correspondence and characters of finite subgroups of SU(2).- Methodes de Kashiwara-Vergne- Rouviere pour les espaces symetriques.- Einstein integrals and induction of relations.

Additional information

NPB9780817632076
9780817632076
0817632077
Noncommutative Harmonic Analysis: In Honor of Jacques Carmona by Patrick Delorme
New
Hardback
Birkhauser Boston Inc
2003-12-10
509
N/A
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