Canad. Math. Bull. 56(2013), 218-224
Printed: Mar 2013
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.
functional equations, Fourier analysis, representation of compact groups
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.