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Harmonic Analysis on Symmetric Spacesùeuclidean Space, the Sphere, and the Poincar? Upper Half-plane: Euclidean Space, the Sphere, and the Poincare Upper Half-Plane
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Bibliographic Detail
Publisher Springer Verlag
Publication date September 23, 2013
Pages 413
Binding Hardcover
Edition 2
Book category Adult Non-Fiction
ISBN-13 9781461479710
ISBN-10 1461479711
Dimensions 1.25 by 6.25 by 9.25 in.
Weight 1.65 lbs.
Original list price $79.99
Summaries and Reviews
Amazon.com description: Product Description:

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 Γ, 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.



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Hardcover
Book cover for 9781461479710
 
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2 edition from Springer Verlag (September 23, 2013); titled "Harmonic Analysis on Symmetric Spacesùeuclidean Space, the Sphere, and the Poincar? Upper Half-plane: Euclidean Space, the Sphere, and the Poincare Upper Half-Plane"
9781461479710 | details & prices | 413 pages | 6.25 × 9.25 × 1.25 in. | 1.65 lbs | List price $79.99
About: 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.

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