Read Harmonic Analysis on Symmetric Spaces_Higher Rank Spaces Positive Definite Matrix Space and Generalizations

[Download.EnWd] Harmonic Analysis on Symmetric Spaces_Higher Rank Spaces Positive Definite Matrix Space and Generalizations

[Download.EnWd] Harmonic Analysis on Symmetric Spaces_Higher Rank Spaces Positive Definite Matrix Space and Generalizations

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Book Details :
Published on: 2016-04-27
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Original 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 Poincare 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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