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Functional Equations and Fourier Analysis

  Published:2011-06-29
 Printed: Mar 2013
  • Dilian Yang,
    Department of Mathematics and Statistics, University of Windsor, Windsor, ON N9B 3P4
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Abstract

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: functional equations, Fourier analysis, representation of compact groups functional equations, Fourier analysis, representation of compact groups
MSC Classifications: 39B52, 22C05, 43A30 show english descriptions Equations for functions with more general domains and/or ranges
Compact groups
Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
39B52 - Equations for functions with more general domains and/or ranges
22C05 - Compact groups
43A30 - Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
 

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