Regularity properties of exponential polynomials on groups

DOI10.1007/BF01955018zbMath0578.39005OpenAlexW1990989701MaRDI QIDQ1066367

László Székelyhidi

Publication date: 1985

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01955018

zbMATH Keywords

Abelian groupslocally compactregularity propertiesexponential polynomialscontinuouslocally convexlocally boundedmeasurable set of positive measure

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (4)

Generalized sine equations. I ⋮ Generalized sine equations. II ⋮ Regularization and general methods in the theory of functional equations ⋮ Mean-value type functional equations

Cites Work

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• Regularity properties of polynomials on groups
• Note on exponential polynomials
• On characterizations of exponential polynomials
• Finite dimensional translational invariant subspaces
• Boundedness on a set of positive measure and the mean value property characterizes polynomials on a space \(V^ n\)
• D'Alembert's Functional Equation on Groups
• Measurable solutions of quadratic functional equations
• Translation Invariant Subspaces of Finite Dimension
• A Difference Property for Polynomials and Exponential Polynomials on Abelian Locally Compact Groups

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