Drexel dragonThe Math ForumDonate to the Math Forum

The Math Forum Internet Mathematics Library

Abstract Harmonic Analysis

_____________________________________
Library Home || Full Table of Contents || Suggest a Link || Library Help
_____________________________________

Visit this site: http://www.math.niu.edu/~rusin/known-math/index/43-XX.html

Author:Dave Rusin; The Mathematical Atlas
Description: A short article designed to provide an introduction to abstract harmonic analysis: if Fourier series is the study of periodic real functions, which are invariant under the group of integer translations, then abstract harmonic analysis is the study of functions on general topological groups which are invariant under a (closed) subgroup. This includes topics of varying level of specificity, including analysis on Lie groups or locally compact abelian groups. This area also overlaps with representation theory of topological groups. One can carry over the development of Fourier series for functions on the circle and study the expansion of functions on the sphere; the basic functions then are the spherical harmonics. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus.

Levels: College
Languages: English
Resource Types: Articles
Math Topics: Abstract Harmonic Analysis

[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help
_____________________________________

© 1994-2014 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.The Math Forum is a research and educational enterprise of the Drexel University School of Education.