Progress in Mathematics

Noncommutative Harmonic Analysis

In Honor of Jacques Carmona

Editors: Delorme, Patrick, Vergne, Michèle (Eds.)

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About this book

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. 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 are 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 recent years as a powerful tool.

Contributors: V. Baldoni-Silva; D. Barbasch; P. Bieliavsky; N. Bopp; A. Bouaziz; P. Delorme; P. Harinck; A. Hersant; M.S. Khalgui; A.W. Knapp; B. Kostant; J. Kuttler; M. Libine; J.D. Lorch; L.A. Mantini; S.D. Miller; J.D. Novak; M.-N. Panichi; M. Pevzner; W. Rossmann; H. Rubenthaler; W. Schmid; P. Torasso; C. Torossian; E.P. van den Ban; M. Vergne; and N.R. Wallach

Table of contents (18 chapters)

Table of contents (18 chapters)
  • Morris identities and the total residue for a system of type A r

    Baldoni-Silva, Velleda (et al.)

    Pages 1-19

  • A reduction theorem for the unitary dual of U(p,q)

    Barbasch, Dan

    Pages 21-60

  • Symmetric spaces and star representations III. The Poincaré disc

    Bieliavsky, P. (et al.)

    Pages 61-77

  • Local zeta functions for a class of symmetric spaces

    Bopp, Nicole (et al.)

    Pages 79-118

  • Quelques remarques sur les distributions invariantes dans les algèbres de Lie réductives

    Bouaziz, Abderrazak

    Pages 119-130

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-0-8176-8204-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-0-8176-3207-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.00
price for USA in USD
  • ISBN 978-1-4612-6489-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Noncommutative Harmonic Analysis
Book Subtitle
In Honor of Jacques Carmona
Editors
  • Patrick Delorme
  • Michèle Vergne
Series Title
Progress in Mathematics
Series Volume
220
Copyright
2004
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-8204-0
DOI
10.1007/978-0-8176-8204-0
Hardcover ISBN
978-0-8176-3207-6
Softcover ISBN
978-1-4612-6489-7
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XVII, 509
Topics