D'Alembert's Functional Equation on Groups

DOI10.2307/2042719zbMath0445.39004OpenAlexW4247503026MaRDI QIDQ3889502

Andrew. L. Rukhin, Richard C. Penney

Publication date: 1979

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2042719

zbMATH Keywords

locally compact groupssquare integrable solutionsunitary representations of locally compact groupsD'Alembert functional equation

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (8)

-SPHERICAL FUNCTIONS ON ABELIAN SEMIGROUPS ⋮ On solutions of the d'Alembert equation on a restricted domain ⋮ Exponential rationals ⋮ D'Alembert's and Wilson's equations on semigroups ⋮ On a Quadratic-Trigonometric Functional Equation and Some Applications ⋮ A note on d'Alembert's functional equation ⋮ Regularity properties of exponential polynomials on groups ⋮ Functional equations and \(^*\)-representations on topological semigroups

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