عنوان

Harmonic analysis on symmetric spaces--Euclidean space, the sphere, and the Poincaré upper half-plane /

شابک

146147972X (electronic bk.)

شابک

9781461479727 (electronic bk.)

شابک اشتباه

9781461479710

شماره

dltt

عنوان اصلي

Harmonic analysis on symmetric spaces--Euclidean space, the sphere, and the Poincaré upper half-plane /

نام عام مواد

[Book]

نام نخستين پديدآور

Audrey Terras

وضعيت ويراست

Second edition

نام خاص و کميت اثر

1 online resource (xvii, 413 pages) :

ساير جزييات

illustrations

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Chapter 1. Flat Space. Fourier Analysis on R̂m. -- Chapter 2. A Compact Symmetric Space--The Sphere -- Chapter 3. The Poincaré Upper Half-Plane

بدون عنوان

0

متن يادداشت

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 Vignras, 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, 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

عنوان

OhioLINK electronic book center (Online)

عنوان

SpringerLink

موضوع مستند نشده

Fourier analysis

موضوع مستند نشده

Harmonic analysis

موضوع مستند نشده

MAT034000

موضوع مستند نشده

PBKD

شماره

ويراست

شماره رده

شماره رده

مستند نام اشخاص تاييد نشده

Terras, Audrey

مستند نام تنالگان تاييد نشده

Ohio Library and Information Network

تاريخ عمليات

20131202122227.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y