Harmonic Analysis on Symmetric Spaces and Applications I

Harmonic Analysis on Symmetric Spaces and Applications I
Author :
Publisher : Springer Science & Business Media
Total Pages : 353
Release :
ISBN-10 : 9781461251286
ISBN-13 : 1461251281
Rating : 4/5 (281 Downloads)

Book Synopsis Harmonic Analysis on Symmetric Spaces and Applications I by : Audrey Terras

Download or read book Harmonic Analysis on Symmetric Spaces and Applications I written by Audrey Terras and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its beginnings with Fourier (and as far back as the Babylonian astron omers), harmonic analysis has been developed with the goal of unraveling the mysteries of the physical world of quasars, brain tumors, and so forth, as well as the mysteries of the nonphysical, but no less concrete, world of prime numbers, diophantine equations, and zeta functions. Quoting Courant and Hilbert, in the preface to the first German edition of Methods of Mathematical Physics: "Recent trends and fashions have, however, weakened the connection between mathematics and physics. " Such trends are still in evidence, harmful though they may be. My main motivation in writing these notes has been a desire to counteract this tendency towards specialization and describe appli cations of harmonic analysis in such diverse areas as number theory (which happens to be my specialty), statistics, medicine, geophysics, and quantum physics. I remember being quite surprised to learn that the subject is useful. My graduate eduation was that of the 1960s. The standard mathematics graduate course proceeded from Definition 1. 1. 1 to Corollary 14. 5. 59, with no room in between for applications, motivation, history, or references to related work. My aim has been to write a set of notes for a very different sort of course.


Harmonic Analysis on Symmetric Spaces and Applications I Related Books

Harmonic Analysis on Symmetric Spaces and Applications I
Language: en
Pages: 353
Authors: Audrey Terras
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

Since its beginnings with Fourier (and as far back as the Babylonian astron omers), harmonic analysis has been developed with the goal of unraveling the mysteri
Harmonic Analysis on Symmetric Spaces and Applications I
Language: en
Pages: 368
Authors: Audrey Terras
Categories: Mathematics
Type: BOOK - Published: 1985-07 - Publisher: Springer

GET EBOOK

Since its beginnings with Fourier (and as far back as the Babylonian astron omers), harmonic analysis has been developed with the goal of unraveling the mysteri
Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
Language: en
Pages: 430
Authors: Audrey Terras
Categories: Mathematics
Type: BOOK - Published: 2013-09-12 - Publisher: Springer Science & Business Media

GET EBOOK

This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincaré upper half plan
Causal Symmetric Spaces
Language: en
Pages: 303
Authors: Gestur Olafsson
Categories: Mathematics
Type: BOOK - Published: 1996-09-11 - Publisher: Academic Press

GET EBOOK

This book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered s
Harmonic Analysis on Commutative Spaces
Language: en
Pages: 408
Authors: Joseph Albert Wolf
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

GET EBOOK

This study starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harm