[PDF.57tg] Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs)
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Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs)
Sigurdur Helgason
[PDF.ok81] Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs)
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| #3029834 in Books | American Mathematical Society | 2008-12-02 | Original language:English | PDF # 1 | 10.25 x7.25 x1.50l,2.90 | File type: PDF | 637 pages | ||7 of 7 people found the following review helpful.| This is an important book!|By Michael C. Berg|[...].
Symmetric spaces are hugely important objects, occurring in many different parts of contemporary mathematics. In number theory, for example, one cannot even begin to do modular forms seriously without a reasonably thorough knowledge of the symmetric space afforded by the action of SL(2,Z) on the complex upper half||[This book] is a model of fine scholarship and must rank as a definitive source for the indicated material. ---- MAA s
The exposition, which emphasizes the geometric and analytic side of the subject, is self-contained and very clear. It is good tha
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 theory of Radon transforms and Fourier transforms on symmetric spaces, inversion formulas, and range theorems, Helgason examines applications to invariant differential equations on ...
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