American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 2003; 355 pp; hardcover Volume: 210 ISBN10: 082183472X ISBN13: 9780821834725 List Price: US$131 Member Price: US$104.80 Order Code: TRANS2/210
 The book contains survey and research articles devoted mainly to geometry and harmonic analysis of symmetric spaces and to corresponding aspects of group representation theory. The volume is dedicated to the memory of Russian mathematician, F. I. Karpelevich (19272000). Of particular interest are the survey articles by Sawyer on the Abel transform on noncompact Riemannian symmetric spaces, and by Anker and Ostellari on estimates for heat kernels on such spaces, as well as the article by Bernstein and Gindikin on integral geometry for families of curves. There are also many research papers on topics of current interest. The book is suitable for graduate students and research mathematicians interested in harmonic analysis and representation theory. Readership Graduate students and research mathematicians interested in harmonic analysis and representation theory. Table of Contents  D. N. Akhiezer  Asymptotic distribution of eigenvalues for certain elements of the group ring of a compact Lie group
 D. V. Alekseevsky and A. J. Di Scala  Minimal homogeneous submanifolds of symmetric spaces
 J.P. Anker and P. Ostellari  The heat kernel on noncompact symmetric spaces
 E. M. Baruch, I. PiatetskiShapiro, and S. Rallis  On the uniqueness of Fourier Jacobi models for representations of \(U(2,1)\)
 J. Bernstein and S. Gindikin  Notes on integral geometry for manifolds of curves
 B. Enriquez and P. Etingof  Quantization of AlekseevMeinrenken dynamical \(r\)matrices
 J. Faraut  Analysis on the crown of a Riemannian symmetric space
 I. Gelfand, V. Retakh, and R. L. Wilson  Quaternionic quasideterminants and determinants
 S. 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 GindikinKarpelevič formula and intertwining operators
 T. Kobayashi and S. Nasrin  Multiplicity one theorem in the orbit method
 B. Krötz and G. Ólafsson  The cfunction for noncompactly 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
 Y. A. Neretin  Pencils of geodesics in symmetric spaces, Karpelevich boundary, and associahedronlike polyhedra
 M. A. Olshanetsky and V.B. K. Rogov  Poisson formula for a family of noncommutative Lobachevsky spaces
 A. L. Onishchik  Real semisimple Lie algebras and their representations
 T. Oshima  A calculation of \(c\)functions for semisimple symmetric spaces
 P. Sawyer  The Abel transform on symmetric spaces of noncompact type
