Geometric analysis on symmetric spaces /
"This book gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of Lie groups. The book starts with modern integral geometry for double fibrations and treats several examples in detail. After discussing the...
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| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I. :
American Mathematical Society,
[2008], ©2008
Providence, R.I. : c2008 Providence, R.I. : ©2008 Providence, R.I. : [2008] |
| Edition: | 2nd ed |
| Series: | Mathematical surveys and monographs,
v. 39 Mathematical surveys and monographs ; no. 39 Mathematical surveys and monographs ; v.39 Mathematical surveys and monographs no. 39 Mathematical surveys and monographs no. 39 |
| Subjects: |
Table of Contents:
- Duality in integral geometry
- Duality for symmetric spaces
- Fourier transform on a symmetric space
- Radon transform on X and on X[subscript o] range questions
- Differential equations on symmetric spaces
- Eigenspace representations
- Ch. I A Duality in Integral Geometry
- Ch. II. A Duality for Symmetric Spaces
- Ch. III. The Fourier Transform on a Symmetric Space
- Ch. IV. The Radon Transform on X and on X[subscript o] Range Questions
- Ch. V. Differential Equations on Symmetric Spaces
- Ch. VI. Eigenspace Representations.