Name: Non-Commutative Harmonic Analysis and Lie Groups
ISBN: 978-3-540-47775-4

Non-Commutative Harmonic Analysis and Lie Groups

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Editors:

Jacques Carmona,
Patrick Delorme,
Michèle Vergne,
…
M.I.T.

Jacques Carmona

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Patrick Delorme

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Michèle Vergne

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M.I.T.

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1243)

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Table of contents (14 papers)

Front Matter

Pages I-IV

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Relationships of divisibility between local L-functions associated to representations of complex reductive groups
- Martin Andler
Pages 1-14
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Irreducible unitary representations of some groups of real rank two
- M. W. Baldoni-Silva, A. W. Knapp
Pages 15-36
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Vogan's algorithm for computing composition series
- M. W. Baldoni-Silva, A. W. Knapp
Pages 37-72
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Unipotent representations and unitarity
- Dan Barbasch
Pages 73-85
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Bochner-Riesz means of HP functions (0
- Jean-Louis Clerc
Pages 86-107
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Injection de modules spheriques pour les espaces symetriques reductifs dans certaines representations induites
- Patrick Delorme, van den Ban
Pages 108-143
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On the cyclicity of vectors associated with Duflo involutions
- Anthony Joseph
Pages 144-180
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Corrigenda and addenda to "on the cyclicity of vectors associated with Duflo involutions"
- A. Joseph
Pages 181-188
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Atomic Hardy spaces on semisimple Lie groups
- Takeshi Kawazoe
Pages 189-197
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Orbital integrals on symmetric spaces
- Jeremy Orloff
Pages 198-239
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Recurrence relations for Plancherel functions
- Dale Peterson, Michèle Vergne
Pages 240-261
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A cohomological method for the determination of limit multiplicities
- Jürgen Rohlfs, Birgit Speh
Pages 262-272
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Springer representations and coherent continuation representations of Weyl groups
- W. Rossmann
Pages 273-282
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Distributions sphériques invariantes sur l'espace symétrique semi-simple et son c-dual
- Shigeru Sano
Pages 283-309
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Keywords

About this book

All the papers in this volume are research papers presenting new results. Most of the results concern semi-simple Lie groups and non-Riemannian symmetric spaces: unitarisation, discrete series characters, multiplicities, orbital integrals. Some, however, also apply to related fields such as Dirac operators and characters in the general case.

Bibliographic Information

Book Title: Non-Commutative Harmonic Analysis and Lie Groups
Book Subtitle: Proceedings of the International Conference Held in Marseille-Luminy, June 24-29, 1985
Editors: Jacques Carmona, Patrick Delorme, Michèle Vergne, M.I.T.
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0073014
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1987
Softcover ISBN: 978-3-540-17701-2Published: 06 May 1987
eBook ISBN: 978-3-540-47775-4Published: 15 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: CCCXVI, 310
Topics: Topological Groups, Lie Groups

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