This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincare 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 Vigneras, 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 Poincare 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.
- ISBN:
- 9781461479710
- 9781461479710
-
Category:
- Complex analysis
- Format:
- Hardback
- Publication Date:
-
13-09-2013
- Language:
- English
- Publisher:
- Springer-Verlag New York Inc.
- Country of origin:
- United States
- Edition:
- 2nd Edition
- Pages:
- 413
- Dimensions (mm):
- 235x155x28mm
- Weight:
- 7.69kg
This title is in stock with our Australian supplier and should arrive at our Sydney warehouse within 2 - 3 weeks of you placing an order.
Once received into our warehouse we will despatch it to you with a Shipping Notification which includes online tracking.
Please check the estimated delivery times below for your region, for after your order is despatched from our warehouse:
ACT Metro 2 working days
NSW Metro 2 working days
NSW Rural 2 - 3 working days
NSW Remote 2 - 5 working days
NT Metro 3 - 6 working days
NT Remote 4 - 10 working days
QLD Metro 2 - 4 working days
QLD Rural 2 - 5 working days
QLD Remote 2 - 7 working days
SA Metro 2 - 5 working days
SA Rural 3 - 6 working days
SA Remote 3 - 7 working days
TAS Metro 3 - 6 working days
TAS Rural 3 - 6 working days
VIC Metro 2 - 3 working days
VIC Rural 2 - 4 working days
VIC Remote 2 - 5 working days
WA Metro 3 - 6 working days
WA Rural 4 - 8 working days
WA Remote 4 - 12 working days
Share This Book: