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  • © 2004

Noncommutative Harmonic Analysis

In Honor of Jacques Carmona

Birkhäuser
  • 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)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xvii
  2. Morris identities and the total residue for a system of type A r

    • Velleda Baldoni-Silva, Michèle Vergne
    Pages 1-19
  3. Local zeta functions for a class of symmetric spaces

    • Nicole Bopp, Hubert Rubenthaler
    Pages 79-118
  4. Dualité entre G/G et le groupe renversé G

    • Pascale Harinck, Marie-Noëlle Panichi
    Pages 177-199
  5. Intertwining ladder representations for SU(p, q) into Dolbeault cohomology

    • John D. Lorch, Lisa A. Mantini, Jodie D. Novak
    Pages 395-418
  6. Summation formulas, from Poisson and Voronoi to the present

    • Stephen D. Miller, Wilfried Schmid
    Pages 419-440
  7. Eisenstein integrals and induction of relations

    • E. P. van den Ban
    Pages 487-509

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

Buy it now

Buying options

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