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Audrey Terras - Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane - 9781461479710 - V9781461479710
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Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane

€ 113.48
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Description for Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane Hardcover. 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. Num Pages: 430 pages, 51 black & white illustrations, 32 colour illustrations, biography. BIC Classification: PBG; PBKD; PBKF. Category: (P) Professional & Vocational. Dimension: 242 x 163 x 29. Weight in Grams: 772.

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 ... Read more

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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Product Details

Format
Hardback
Publication date
2013
Publisher
Springer
Condition
New
Number of Pages
413
Place of Publication
New York, NY, United States
ISBN
9781461479710
SKU
V9781461479710
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

About Audrey Terras
Audrey Anne Terras is currently Professor Emerita of Mathematics at the University of California at San Diego.

Reviews for Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
From the book reviews: “The present edition accommodates all the materials of the old one and maintains its style and spirit. … It will acquaint that audience with this beautiful area and provide it with enough resources for further study. We hope this book will reinforce interest and excitement in the subject called harmonic analysis on symmetric spaces and, ... Read more

Goodreads reviews for Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane


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