Nonabelian harmonic analysis and functional equations on compact groups

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dc.creatorAn, Jinpeng
dc.creatorYang, Dilian
dc.date2008-09-04
dc.date.accessioned2026-07-07T10:00:56Z
dc.date.available2026-07-07T10:00:56Z
dc.descriptionMaking use of nonabelian harmonic analysis and representation theory, we solve the functional equation $$f_1(xy)+f_2(yx)+f_3(xy^{-1})+f_4(y^{-1}x)=f_5(x)f_6(y)$$ 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.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/0809.0911
dc.identifierhttp://arxiv.org/abs/0809.0911
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168478
dc.subjectFunctional Analysis
dc.subject39B52; 22C05; 43A30; 22E45
dc.titleNonabelian harmonic analysis and functional equations on compact groups
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