Almost periodicity and functional equations

DOI10.1007/BF02189679zbMath0566.39010OpenAlexW2020663384MaRDI QIDQ1059231

László Székelyhidi

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/136997

zbMATH Keywords

boundednessmeasurabilitytopological groupsFourier transformationalmost periodicitycontinuous bounded solutions

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (9)

D'Alembert's equation and spherical functions ⋮ Wilson's functional equations on groups ⋮ Bounded solutions and stability of functional equations for two variable functions ⋮ On solutions of the d'Alembert equation on a restricted domain ⋮ On a joint generalization of Cauchy's and d'Alembert's functional equations ⋮ On functional equations associated with characters of unitary representations of groups ⋮ A note on d'Alembert's functional equation ⋮ On a linear functional equation ⋮ Functional Equations, Tempered Distributions and Fourier Transforms

Cites Work

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• On Bounded Functions with Almost Periodic Differences
• On a Theorem of Baker, Lawrence and Zorzitto
• The Stability of the Equation f(x + y) = f(x)f(y)
• Note on a Stability Theorem
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups
• A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications
• On the Stability of the Linear Functional Equation

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