Modern spherical functions

Author(s)

• 竹内, 勝 タケウチ, マサル

Bibliographic Information

Modern spherical functions

Masaru Takeuchi ; translated by Toshinobu Nagura

（Translations of mathematical monographs, v. 135）

American Mathematical Society, c1994

Other Title

現代の球関数

Gendai no kyūkansū

Note

Includes bibliographical references and indexes

Description and Table of Contents

Description

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.

Table of Contents

Introduction Spherical functions Compact symmetric pairs Spherical functions on spheres and on complex projective spaces Appendix References Subject index Notation index.

by "Nielsen BookData"

Details

• NCID: BA23015860
• ISBN:
  • 0821845802
• LCCN: 93024648
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: jpn
• Place of Publication: Providence, R.I.
• Pages/Volumes: ix, 265 p.
• Size: 27 cm
• Classification:
  • LCC : QA406
  • DC20 : 515/.53
• Subject Headings:
  • LCSH : Spherical functions
• Parent Bibliography ID:
  • BA00080309