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Titlebook: Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane; Audrey Terras Textbook 2013Latest ed

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發(fā)表于 2025-3-21 18:10:49 | 只看該作者 |倒序瀏覽 |閱讀模式
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videohttp://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Titlebook: Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane;  Audrey Terras Textbook 2013Latest ed
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
doihttps://doi.org/10.1007/978-1-4614-7972-7
isbn_softcover978-1-4939-5013-3
isbn_ebook978-1-4614-7972-7
copyrightSpringer Science+Business Media New York 2013
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-22 00:14:22 | 只看該作者
板凳
發(fā)表于 2025-3-22 01:08:51 | 只看該作者
A Compact Symmetric Space: The Sphere,e. Laplace and Legendre introduced these functions in order to study gravitational theory in the 1780s. Spherical harmonics are necessary for the analysis of any phenomena with spherical symmetry; e.g., earthquakes, the hydrogen atom, and the solar corona. Some of these topics will be discussed later in this section.
地板
發(fā)表于 2025-3-22 07:18:33 | 只看該作者
Flat Space: Fourier Analysis on ,,There was no time to waste. It’s possible to grasp alef-null-sized collections once you’re in your aethereal body…but you need some to look at. My job right now was to generate infinities.
5#
發(fā)表于 2025-3-22 10:28:32 | 只看該作者
Audrey TerrasNew 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
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發(fā)表于 2025-3-22 16:39:10 | 只看該作者
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Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
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發(fā)表于 2025-3-23 04:54:31 | 只看該作者
Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane978-1-4614-7972-7
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發(fā)表于 2025-3-23 05:38:39 | 只看該作者
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