Volume 81, Issue 1

Search all Acta Applicandae Mathematicae articles

March 2004

Representations of Lie groups, harmonic analysis on homogeneous spaces and quantization

Issue Editors:

G. Van Dijk,
V.F. Molchanov

20 articles in this issue

Preface
G. Van Dijk
V. F. Molchanov
Preface Pages: 1 - 3
Berezin Transform for Solvable Groups
Jonathan Arazy
Harald Upmeier
OriginalPaper Pages: 5 - 28
The Generalized Segal–Bargmann Transform and Special Functions
Mark Davidson
Gestur Ólafsson
OriginalPaper Pages: 29 - 50
Some Problems in Operator Theory on Bounded Symmetric Domains
M. Engliš
OriginalPaper Pages: 51 - 71
La Couronne d'un Cône Symétrique
Jacques Faraut
OriginalPaper Pages: 73 - 91
Infinite-Dimensional Representations of the Lie Algebra \(\mathfrak{g}\mathfrak{l}\left( {n,\mathbb{C}} \right)\) Related to Complex Analogs of the Gelfand–Tsetlin Patterns and General Hypergeometric Functions on the Lie Group GL\(\left( {n,\mathbb{C}} \right)\)
M. I. Graev
OriginalPaper Pages: 93 - 120
Representations Connected with Dixmier Traces and Spaces of Distributions
R. S. Ismagilov
OriginalPaper Pages: 121 - 127
Geometry of Multiplicity-Free Representations of GL(n), Visible Actions on Flag Varieties, and Triunity
Toshiyuki Kobayashi
OriginalPaper Pages: 129 - 146
Zeta Regularizations
Nobushige Kurokawa
Masato Wakayama
OriginalPaper Pages: 147 - 166
Quantum Mechanics and Representation Theory: The New Synthesis
N. P. Landsman
OriginalPaper Pages: 167 - 189
Canonical and Boundary Representations on a Hyperboloid of One Sheet
V. F. Molchanov
OriginalPaper Pages: 191 - 214
Polynomial Quantization on Rank One Para-Hermitian Symmetric Spaces
V. F. Molchanov
N. B. Volotova
OriginalPaper Pages: 215 - 232
Structures of Boson and Fermion Fock Spaces in the Space of Symmetric Functions
Yurii A. Neretin
OriginalPaper Pages: 233 - 268
Poisson Kernel on the Quantum Lobachevsky Spaces
M. A. Olshantesky
V.-B. K. Rogov
OriginalPaper Pages: 269 - 274
Paley–Wiener Theorems for the Θ-Spherical Transform: An Overview
Gestur Ólafsson
Angela Pasquale
OriginalPaper Pages: 275 - 309
Generalized Harish-Chandra Modules: A New Direction in the Structure Theory of Representations
Ivan Penkov
Gregg Zuckerman
OriginalPaper Pages: 311 - 326
On Describing Invariant Subspaces of the Space of Smooth Functions on a Homogeneous Manifold
S. S. Platonov
OriginalPaper Pages: 327 - 338
Saturated Commutative Spaces of Heisenberg Type
Oksana Yakimova
OriginalPaper Pages: 339 - 345
Gauss Algebras
D. P. Zhelobenko
OriginalPaper Pages: 347 - 354
Some Problems of Harmonic Analysis on Reductive Groups
D. P. Zhelobenko
OriginalPaper Pages: 355 - 383

Volume 81, Issue 1

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