| 书目名称 | Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane | | 编辑 | Audrey Terras | | 视频video | | | 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 | | 图书封面 |  | | 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 | | 关键词 | Eisenstein series; Hecke operators; Helgason transform; Poisson summation formula; Schrödinger 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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书目名称Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane影响因子(影响力)
书目名称Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane影响因子(影响力)学科排名
书目名称Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane网络公开度
书目名称Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane网络公开度学科排名
书目名称Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane被引频次
书目名称Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane被引频次学科排名
书目名称Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane年度引用
书目名称Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane年度引用学科排名
书目名称Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane读者反馈
书目名称Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane读者反馈学科排名
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发表于 2025-3-21 18:10:49
