| 書目名稱 | Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and General | | 編輯 | Audrey Terras | | 視頻video | http://file.papertrans.cn/425/424290/424290.mp4 | | 概述 | New edition extensively revised and updated.Includes many new figures and examples.New topics include random matrix theory and quantum chaos.Includes recent work on modular forms and their correspondi | | 圖書封面 |  | | 描述 | .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..Manycorrections and updates have been incorporated in this new edition. Updates include discussions of random matrix theory and quantum chaos, as well as recent research on modular forms and their corresponding L- | | 出版日期 | Textbook 2016Latest edition | | 關鍵詞 | Eisenstein series; Harish-Chandra c-function; Helgason-Fourier transform; Poisson summation formula; Sel | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4939-3408-9 | | isbn_softcover | 978-1-4939-8042-0 | | isbn_ebook | 978-1-4939-3408-9 | | copyright | Springer Science+Business Media New York 2016 |
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書目名稱Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and General影響因子(影響力)
書目名稱Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and General影響因子(影響力)學科排名
書目名稱Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and General網絡公開度
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書目名稱Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and General被引頻次
書目名稱Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and General被引頻次學科排名
書目名稱Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and General年度引用
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書目名稱Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and General讀者反饋
書目名稱Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and General讀者反饋學科排名
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