書目名稱 | Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane | 編輯 | Audrey Terras | 視頻video | http://file.papertrans.cn/425/424289/424289.mp4 | 概述 | New edition extensively revised and updated.Features many new examples and figures (such as density plots of modular forms as well as finite analogues).New topics include: wavelets, quasicrystals, Ram | 圖書封面 |  | 描述 | .This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincaré upper half plane.? This book is intended for beginning graduate students in mathematics or researchers in physics or engineering.? Written with an informal style, the book places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering. .Many corrections and updates have been incorporated in this new edition. Updates include discussions of P. Sarnak and others‘ work on quantum chaos, the work of T. Sunada, Marie-France Vignéras, Carolyn Gordon, and others on Mark Kac‘s question "Can you hear the shape of a drum?", A. Lubotzky, R. Phillips and P. Sarnak‘s examples of Ramanujan graphs, and, finally, the author‘s comparisons of continuous theory with the finite analogues. .Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, Poisson‘s summation formula and applications in crystallography and number theory, applications of spherical harmonic analysis to the hydrogen atom, the Radon transform, non-Euclidean g | 出版日期 | Textbook 2013Latest edition | 關(guān)鍵詞 | Eisenstein series; Hecke operators; Helgason transform; Poisson summation formula; Schr?dinger equation; | 版次 | 2 | doi | https://doi.org/10.1007/978-1-4614-7972-7 | isbn_softcover | 978-1-4939-5013-3 | isbn_ebook | 978-1-4614-7972-7 | copyright | Springer Science+Business Media New York 2013 |
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書目名稱Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane影響因子(影響力) 
書目名稱Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane影響因子(影響力)學(xué)科排名 
書目名稱Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane網(wǎng)絡(luò)公開度 
書目名稱Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane網(wǎng)絡(luò)公開度學(xué)科排名 
書目名稱Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane被引頻次 
書目名稱Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane被引頻次學(xué)科排名 
書目名稱Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane年度引用 
書目名稱Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane年度引用學(xué)科排名 
書目名稱Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane讀者反饋 
書目名稱Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane讀者反饋學(xué)科排名 
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