Small sets and a class of general functional equations

DOI10.1007/BF01836148zbMath0628.28011MaRDI QIDQ1093028

Jens Peter Reus Christensen, Pal Fischer

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/137199

zbMATH Keywords

automatic continuityAbelian Polish groupbiadditive mappingsChristensen measurable functionsChristensen measurable setsHaar zero set

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) 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)

Related Items (4)

A theorem of Piccard's type in abelian Polish groups ⋮ Remarks on Analogies Between Haar Meager Sets and Haar Null Sets ⋮ Haar null and Haar meager sets: a survey and new results ⋮ Joint Continuity of Measurable Biadditive Mappings

Cites Work

• Christensen measurable solutions of generalized Cauchy functional equations
• On sets of Haar measure zero in abelian Polish groups
• Christensen Zero Sets and Measurable Convex Functions
• Regularity properties of functional equations

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