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Lie Groups and Symmetric Spaces: In Memory of F. I. Karpelevich

About this Title

S. G. Gindikin, Rutgers University, New Brunswick, NJ, Editor

Publication: American Mathematical Society Translations: Series 2
Publication Year: 2003; Volume 210
ISBNs: 978-0-8218-3472-5 (print); 978-1-4704-3421-2 (online)
DOI: https://doi.org/10.1090/trans2/210
MathSciNet review: MR2018348
MSC: Primary 00B30; Secondary 22-06, 53C35

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Table of Contents

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Front/Back Matter

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Chapters

• Dmitri N. Akhiezer – Asymptotic distribution of eigenvalues for certain elements of the group ring of a compact Lie group
• Dmitri V. Alekseevsky and Antonio J. Di Scala – Minimal homogeneous submanifolds of symmetric spaces
• Jean-Philippe Anker and Patrick Ostellari – The heat kernel on noncompact symmetric spaces
• Ehud Moshe Baruch, Ilya Piatetski-Shapiro and Stephen Rallis – On the uniqueness of Fourier Jacobi models for representations of $U(2,1)$
• Joseph Bernstein and Simon Gindikin – Notes on integral geometry for manifolds of curves
• Benjamin Enriquez and Pavel Etingof – Quantization of Alekseev-Meinrenken dynamical $r$-matrices
• Jacques Faraut – Analysis on the crown of a Riemannian symmetric space
• Israel Gelfand, Vladimir Retakh and Robert Lee Wilson – Quaternionic quasideterminants and determinants
• Simon Gindikin – Product formula for $c$-function and inverse horospherical transform
• J. Hilgert, A. Pasquale and E. B. Vinberg – The dual horospherical Radon transform as a limit of spherical Radon transforms
• A. W. Knapp – The Gindikin-Karpelevič formula and intertwining operators
• Toshiyuki Kobayashi and Salma Nasrin – Multiplicity one theorem in the orbit method
• Bernhard Krötz and Gestur Ólafsson – The c-function for non-compactly causal symmetric spaces and its relations to harmonic analysis and representation theory
• I. G. Macdonald – A formal identity for affine root systems
• V. F. Molchanov – Canonical representations and overgroups
• Yurii A. Neretin – Pencils of geodesics in symmetric spaces, Karpelevich boundary, and associahedron-like polyhedra
• M. A. Olshanetsky and V.-B. K. Rogov – Poisson formula for a family of non-commutative Lobachevsky spaces
• A. L. Onishchik – Real semisimple Lie algebras and their representations
• Toshio Oshima – A calculation of $c$-functions for semisimple symmetric spaces
• P. Sawyer – The Abel transform on symmetric spaces of noncompact type