Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Noncommutative Harmonic Analysis

In Honor of Jacques Carmona

  • Book
  • © 2004

Overview

Editors:
  1. Patrick Delorme

    1. Institut de Mathématiques de Luminy, UPR 9016 CNRS, Marseille Cedex 9, France

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Michèle Vergne

    1. Centre de Mathématiques, Ecole Polytechnique, Palaiseau Cedex, France

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • International experts on harmonic analysis have contributed to this book
  • Explores Kontsevich quantization, which has appeared in recent years as a powerful tool

Part of the book series: Progress in Mathematics (PM, volume 220)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (18 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Morris identities and the total residue for a system of type A r

    • Velleda Baldoni-Silva, Michèle Vergne
    Pages 1-19

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

    • Dan Barbasch
    Pages 21-60

  4. Symmetric spaces and star representations III. The Poincaré disc

    • P. Bieliavsky, M. Pevzner
    Pages 61-77

  5. Local zeta functions for a class of symmetric spaces

    • Nicole Bopp, Hubert Rubenthaler
    Pages 79-118

  6. Quelques remarques sur les distributions invariantes dans les algèbres de Lie réductives

    • Abderrazak Bouaziz
    Pages 119-130

  7. Espace des coefficients de représentations admissibles d’un groupe réductif p-adique

    • Patrick Delorme
    Pages 131-176

  8. Dualité entre G/G ℝ et le groupe renversé − G ℝ

    • Pascale Harinck, Marie-Noëlle Panichi
    Pages 177-199

  9. Sur certains espaces d’homologie relative d’algèbres de Lie: cas des polarisations positives

    • Annie Hersant
    Pages 201-212

  10. La formule de Plancherel pour les groupes de Lie presque algébriques réels

    • M. S. Khalgui, P. Torasso
    Pages 213-251

  11. Analytic continuation of nonholomorphic discrete series for classical groups

    • A. W. Knapp
    Pages 253-289

  12. A branching law for subgroups fixed by an involution and a noncompact analogue of the Borel-Weil theorem

    • Bertram Kostant
    Pages 291-353

  13. Representations of SL 2 and the distribution of points in ℙn

    • J. Kuttler, N. Wallach
    Pages 355-373

  14. A localization argument for characters of reductive Lie groups: an introduction and examples

    • Matvei Libine
    Pages 375-393

  15. Intertwining ladder representations for SU(p, q) into Dolbeault cohomology

    • John D. Lorch, Lisa A. Mantini, Jodie D. Novak
    Pages 395-418

  16. Summation formulas, from Poisson and Voronoi to the present

    • Stephen D. Miller, Wilfried Schmid
    Pages 419-440

  17. McKay’s correspondence and characters of finite subgroups of SU(2)

    • W. Rossmann
    Pages 441-458

  18. Méthodes de Kashiwara-Vergne-Rouviére pour les espaces symétriques

    • C. Torossian
    Pages 459-486

  19. Eisenstein integrals and induction of relations

    • E. P. van den Ban
    Pages 487-509
Back to top

Keywords

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

Editors and Affiliations

  • Institut de Mathématiques de Luminy, UPR 9016 CNRS, Marseille Cedex 9, France

    Patrick Delorme

  • Centre de Mathématiques, Ecole Polytechnique, Palaiseau Cedex, France

    Michèle Vergne

Bibliographic Information

  • Book Title: Noncommutative Harmonic Analysis

  • Book Subtitle: In Honor of Jacques Carmona

  • Editors: Patrick Delorme, Michèle Vergne

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-0-8176-8204-0

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 2004

  • Hardcover ISBN: 978-0-8176-3207-6Published: 10 December 2003

  • Softcover ISBN: 978-1-4612-6489-7Published: 21 October 2012

  • eBook ISBN: 978-0-8176-8204-0Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XVII, 509

  • Topics: Abstract Harmonic Analysis, Topological Groups, Lie Groups, Number Theory

Publish with us

Policies and ethics

Back to top

Search

Navigation