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Harmonic Analysis on Symmetric Spaces―Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane - Softcover
Synopsis
This book offers an introduction to harmonic analysis on the simplest symmetric spaces. It places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering.
"synopsis" may belong to another edition of this title.
From the Back Cover
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, Marie-France 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, non-Euclidean 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.
About the Author
Audrey Anne Terras is currently Professor Emerita of Mathematics at the University of California at San Diego.
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2016
- ISBN 10 1493950134
- ISBN 13 9781493950133
- BindingPaperback
- LanguageEnglish
- Number of pages430
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Harmonic Analysis on Symmetric Spaces : Euclidean Space, the Sphere, and the Poincaré Upper Half-plane
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Harmonic Analysis on Symmetric Spaces¿Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 geometry on the Poincaré upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups , tessellations of H from such discrete group actions, automorphic forms, and the Selberg trace formula and its applications in spectral theory as well as number theory. 432 pp. Englisch. Seller Inventory # 9781493950133
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Harmonic Analysis on Symmetric Spaces?Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
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Harmonic Analysis on Symmetric Spaces : Euclidean Space, the Sphere, and the Poincarà Upper Half-plane
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Harmonic Analysis on Symmetric Spaces¿Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 geometry on the Poincaré upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups , tessellations of H from such discrete group actions, automorphic forms, and the Selberg trace formula and its applications in spectral theory as well as number theory. Seller Inventory # 9781493950133
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Harmonic Analysis on Symmetric Spaces-Euclidean Space, the Sphere, and the Poincare Upper Half-Plane
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Harmonic Analysis on Symmetric Spaces-Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. New edition extensively revised and updatedFeatures many new examples and figures (such as density plots of modular forms as well as finite analogues)New topics include: wavelets, quasicrystals, Ramanujan graphs, elliptic curves, modular kn. Seller Inventory # 447956150
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Harmonic Analysis on Symmetric Spaces: Euclidean Space, the Sphere, and the Poincaré Upper Half-plane
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