Noncommutative Harmonic Analysis

In Honor of Jacques Carmona
Softcover Nachdruck of the original 1. Auflage 2004
ISBN: 978-1-4612-6489-7
Verlag: Birkhäuser Boston

Buch, Englisch, Band 220, 509 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 797 g

Reihe: Progress in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Vergne, Michèle

Delorme, Patrick

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

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 Poincaré disc.- Local zeta functions for a class of symmetric spaces.- Quelques remarques sur les distributions invariantes dans les algèbres de Lie réductives.- Espace des coefficients de représentations admissibles d’un groupe réductif p-adique.- Dualité entre G/G? et Ie groupe renversé ?G?.- Sur certains espaces d’homologie relative d’algèbres de Lie: cas des polarisations positives.- La formule de Plancherel pour les groupes de Lie presque algébrique réels.- 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).- Méthodes de Kashiwara-Vergne- Rouvière pour les espaces symétriques.- Einstein integrals and induction of relations.