Modern Spherical Functions

Know about the book -

Modern Spherical Functions is written by Masaru Takeuchi and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 0821845802 (ISBN 10) and 9780821845806 (ISBN 13).

This book presents an exposition of spherical functions on compact symmetric spaces, from the viewpoint of Cartan-Selberg. 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.