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Harmonic Analysis on Symmetric Spaces--Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

Harmonic Analysis on Symmetric Spaces--Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

Hardcover

AlgebraGeneral Mathematics

ISBN10: 1493934066
ISBN13: 9781493934065
Publisher: Springer Nature
Published: Apr 27 2016
Pages: 487
Weight: 1.95
Height: 1.13 Width: 6.14 Depth: 9.21
Language: English

This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations. It is intended for beginning graduate students in mathematics or researchers in physics or engineering. As with the introductory book entitled Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and the Poincaré Upper Half Plane, the style is informal with an emphasis on motivation, concrete examples, history, and applications. The symmetric spaces considered here are quotients X=G/K, where G is a non-compact real Lie group, such as the general linear group GL(n, P) of all n x n non-singular real matrices, and K=O(n), the maximal compact subgroup of orthogonal matrices. Other examples are Siegel's upper half plane and the quaternionic upper half plane. In the case of the general linear group, one can identify X with the space Pn of n x n positive definite symmetric matrices.

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Algebra