| Hardcover ISBN: | 978-0-8218-4580-6 |
| Product Code: | MMONO/135 |
| List Price: | $165.00 |
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| eBook ISBN: | 978-1-4704-4543-0 |
| Product Code: | MMONO/135.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Hardcover ISBN: | 978-0-8218-4580-6 |
| eBook: ISBN: | 978-1-4704-4543-0 |
| Product Code: | MMONO/135.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
| Hardcover ISBN: | 978-0-8218-4580-6 |
| Product Code: | MMONO/135 |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-4543-0 |
| Product Code: | MMONO/135.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Hardcover ISBN: | 978-0-8218-4580-6 |
| eBook ISBN: | 978-1-4704-4543-0 |
| Product Code: | MMONO/135.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
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Book DetailsTranslations of Mathematical MonographsVolume: 135; 1994; 265 ppMSC: Primary 43; Secondary 53
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.
ReadershipMathematicians 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.
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Table of Contents
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Chapters
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Introduction
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Chapter 1. Spherical functions
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Chapter 2. Compact symmetric pairs
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Chapter 3. Spherical functions on spheres and complex projective spaces
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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.
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.
-
Chapters
-
Introduction
-
Chapter 1. Spherical functions
-
Chapter 2. Compact symmetric pairs
-
Chapter 3. Spherical functions on spheres and complex projective spaces
