On functional equations associated with characters of unitary representations of groups

DOI10.1007/BF01834209zbMath0772.39007OpenAlexW2011881190MaRDI QIDQ1195601

Zbigniew Gajda

Publication date: 6 January 1993

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

Full work available at URL: https://eudml.org/doc/137484

zbMATH Keywords

functional equationcharactersirreducible unitary representationsinvariant meansalmost periodic solutionsCauchy functional equationd'Alembert functional equationmultiplicative Cauchy equationintegrable solutionscompact topological groupnormalized Haar measure

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Functional equations for functions with more general domains and/or ranges (39B52) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Means on groups, semigroups, etc.; amenable groups (43A07) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (6)

D'Alembert's equation and spherical functions ⋮ Wilson's functional equations on groups ⋮ Functional equations on abelian groups with involution ⋮ On solutions of the d'Alembert equation on a restricted domain ⋮ On trigonometric polynomials spanned by characters of unitary representations ⋮ A note on d'Alembert's functional equation

Cites Work

• Unnamed Item
• Almost periodicity and functional equations
• On D'Alembert's functional equation on an Abelian group
• A solution of D'Alembert's functional equation on a locally compact Abelian group

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