Nonabelian harmonic analysis and functional equations on compact groups
Functional Analysis
2008-09-08 v1
Abstract
Making use of nonabelian harmonic analysis and representation theory, we solve the functional equation on arbitrary compact groups. The structure of its general solution is completely described. Consequently, several special cases of the above equation, in particular, the Wilson equation and the d'Alembert long equation, are solved on compact groups.
Keywords
Cite
@article{arxiv.0809.0911,
title = {Nonabelian harmonic analysis and functional equations on compact groups},
author = {Jinpeng An and Dilian Yang},
journal= {arXiv preprint arXiv:0809.0911},
year = {2008}
}
Comments
29 pages