On a joint generalization of Cauchy's and d'Alembert's functional equations

DOI10.1007/BF01840476zbMath0763.39003MaRDI QIDQ1188299

Roman Badora

Publication date: 13 August 1992

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

Full work available at URL: https://eudml.org/doc/137444

zbMATH Keywords

locally compact Abelian groupcompact groupfinite groupd'Alembert's functional equationsCauchy functional equationintegral functional equation

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (14)

Kannappan's functional equation on semigroups with involution ⋮ Hyers-Ulam stability of spherical functions ⋮ Integral functional equations on locally compact groups with involution ⋮ Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups ⋮ Functional equations on abelian groups with involution ⋮ Hyers–Ulam–Rassias Stability of the Generalized Wilson’s Functional Equation ⋮ Solution of a functional equation on compact groups using Fourier analysis ⋮ Superstability problem for a large class of functional equations ⋮ On uniformly bounded spherical functions in Hilbert space ⋮ Solution of several functional equations on abelian groups with involution ⋮ An integral functional equation on groups under two measures ⋮ Wilson's functional equation on \(\mathbb{C}\) ⋮ Solutions and stability of generalized Kannappan's and Van Vleck's functional equations ⋮ Generalized small-dimension lemma and d'Alembert type functional equation on compact groups

Cites Work

• Almost periodicity and functional equations
• A solution of D'Alembert's functional equation on a locally compact Abelian group
• On some functional equation generalizing Cauchy's and d'Alembert's functional equations
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