Translations of Mathematical Monographs 1994; 265 pp; hardcover Volume: 135 ISBN10: 0821845802 ISBN13: 9780821845806 List Price: US$115 Member Price: US$92 Order Code: MMONO/135
 This book presents an exposition of spherical functions on compact symmetric spaces, from the viewpoint of CartanSelberg. Representation theory, invariant differential operators, and invariant integral operators play an important role in the exposition. The author treats compact symmetric pairs, spherical representations for compact symmetric pairs, the fundamental groups of compact symmetric spaces, and the radial part of an invariant differential operator. Also explored are the classical results for spheres and complex projective spaces and the relation between spherical functions and harmonic polynomials. This book is suitable as a graduate textbook. Readership Mathematicians familiar with the Fourier expansion of a function on the unit circle who would like to study how this fact is generalized to homogeneous spaces. Table of Contents  Introduction
 Spherical functions
 Compact symmetric pairs
 Spherical functions on spheres and on complex projective spaces
 Appendix
 References
 Subject index
 Notation index
