D'Alembert's functional equation on topological groups

DOI10.1007/S00010-007-2916-4zbMath1160.39006OpenAlexW2037146715MaRDI QIDQ2378027

Thomas M. K. Davison

Publication date: 5 January 2009

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-007-2916-4

zbMATH Keywords

compact groupd'Alembert's functional equationHausdorff topological groupd'Alembert's group

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Compact groups (22C05)

Related Items (15)

Stability of a generalization of Wilson's equation ⋮ A variant of d'Alembert functional equation on monoids ⋮ Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups ⋮ More about Wilson's functional equation ⋮ -SPHERICAL FUNCTIONS ON ABELIAN SEMIGROUPS ⋮ On a new class of two-variable functional equations on semigroups with involutions ⋮ Solution of a functional equation on compact groups using Fourier analysis ⋮ Generalized Hyers-Ulam stability of trigonometric functional equations ⋮ D'Alembert's and Wilson's equations on semigroups ⋮ Solutions and stability of a variant of Wilson's functional equation ⋮ D'Alembert's functional equations on hypergroups ⋮ Solutions and stability of generalized Kannappan's and Van Vleck's functional equations ⋮ A note on d'Alembert's functional equation on a restricted domain ⋮ Generalized small-dimension lemma and d'Alembert type functional equation on compact groups ⋮ Superstability of Kannappan's and Van vleck's functional equations

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