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Functional Equations and Fourier Analysis

Published online by Cambridge University Press:  20 November 2018

Dilian Yang
Dilian Yang*
Affiliation:
Department of Mathematics and Statistics, University of Windsor, Windsor, ON N9B 3P4 e-mail: dyang@uwindsor.ca
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Abstract

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By exploring the relations among functional equations, harmonic analysis and representation theory, we give a unified and very accessible approach to solve three important functional equations — the d'Alembert equation, the Wilson equation, and the d'Alembert long equation — on compact groups.

Keywords

39B5222C0543A30functional equationsFourier analysisrepresentation of compact groups
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 1 , 01 March 2013 , pp. 218 - 224
Copyright
Copyright © Canadian Mathematical Society 2013

References

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