Functional Equations and Fourier Analysis
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Publication:4908910
DOI10.4153/CMB-2011-136-7zbMath1266.39030arXiv1006.5091MaRDI QIDQ4908910
Publication date: 7 March 2013
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.5091
Fourier analysisfunctional equationsd'Alembert equationWilson equationrepresentation of compact groups
Functional equations for functions with more general domains and/or ranges (39B52) Compact groups (22C05) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)
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A link between Wilson's and d'Alembert's functional equations ⋮ Stability of a generalization of Wilson's equation ⋮ A variant of d'Alembert's functional equation on semigroups with an anti-endomorphism ⋮ A variant of d'Alembert functional equation on monoids ⋮ Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups ⋮ An extension of a variant of d'Alemberts functional equation on compact groups ⋮ The small dimension lemma and d'Alembert's equation on semigroups ⋮ More about Wilson's functional equation ⋮ Solution of a functional equation on compact groups using Fourier analysis ⋮ Kannappan's integral equation with an anti-endomorphism ⋮ Solutions and stability of a variant of Wilson's functional equation ⋮ Wilson's functional equation with an anti-endomorphism ⋮ The algebraic small dimension lemma with an anti-homomorphism on semigroups ⋮ Generalized small-dimension lemma and d'Alembert type functional equation on compact groups ⋮ \(k\)-valued Wilson functions ⋮ On Wilson's functional equations ⋮ D'Alembert \(\mu\)-functions on semigroups
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