Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper HalfPlane
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The work Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper HalfPlane represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper HalfPlane
Resource Information
The work Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper HalfPlane represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper HalfPlane
 Statement of responsibility
 by Audrey Terras
 Language

 eng
 eng
 Summary
 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, new topics, and updates have been incorporated in this new edition. These include discussions of the work of P. Sarnak and others making progress on various conjectures on modular forms, the work of T. Sunada, MarieFrance Vignéras, Carolyn Gordon, and others on Mark Kac's question "Can you hear the shape of a drum?", Ramanujan graphs, wavelets, quasicrystals, modular knots, triangle and quaternion groups, computations of Maass waveforms, 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, nonEuclidean geometry on the Poincaré upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups Γ, tessellations of H from such discrete group actions, automorphic forms, the Selberg trace formula and its applications in spectral theory as well as number theory
 Dewey number

 510
 512.2
 512.55
 512482
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 voUH476icY
 Language note
 English
 LC call number
 QA403403.3
 Literary form
 non fiction
 Nature of contents
 dictionaries
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