عنوان

Harmonic Analysis on Symmetric Spaces-Euclidean Space, the Sphere, and the Poincar?ش Upper Half-Plan

شابک

9781461479727

کد کشور

IR

شماره

EN-52412

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

Harmonic Analysis on Symmetric Spaces-Euclidean Space, the Sphere, and the Poincar?ش Upper Half-Plan

نام عام مواد

[Book]

ساير اطلاعات عنواني

:[delta

نام نخستين پديدآور

/ by Audrey Terras

خط فهرست نويسي و خط اصلي شناسه

fa

وضعيت ويراست

2nd ed. 2013.

محل نشرو پخش و غیره

New York, NY

نام ناشر، پخش کننده و غيره

: Springer New York :Imprint: Springer,

تاریخ نشرو بخش و غیره

, 2013.

نام خاص و کميت اثر

XVII, 413 p. 83 illus., 32 illus. in color., online resource.

متن يادداشت

Electronic

متن يادداشت

This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincar?ش 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 Vign?شras, 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 Poincar?ش upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups [Gamma], 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.

متن يادداشت

Chapter1 Flat Space. Fourier Analysis on R

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Group theory

موضوع مستند نشده

Topological Groups

موضوع مستند نشده

Harmonic analysis

موضوع مستند نشده

Fourier analysis

موضوع مستند نشده

Functions of complex variables

موضوع مستند نشده

Functions, special

موضوع مستند نشده

Electronic books

شماره رده

مستند نام اشخاص تاييد نشده

Terras, Audrey.

مستند نام اشخاص تاييد نشده

SpringerLink (Online service)

کشور

ایران

نام ميزبان

9781461479710.pdf

شماره دسترسي

عادی

اطلاعات مختصر

عادی

تاريخ و ساعت مذاکره و دسترسي

9781461479710.pdf

نوع فرمت الکترونيکي

متن

وضعیت فهرست نویسی

old catalog

فرمت انتشار

e

نوع ماده

BL

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y