Christensen measurable solutions of generalized Cauchy functional equations

DOI10.1007/BF02188183zbMath0634.39012OpenAlexW2066016660MaRDI QIDQ1096814

Zbigniew Gajda

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/137153

zbMATH Keywords

continuitytopological spacesmeasurabilityChristensen measurable setsAbelian Polish topological groupChristensen measurable functiongeneralized Cauchy functional equationsHaar measurable homomorphism

Mathematics Subject Classification ID

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) Functional equations and inequalities (39B99)

Related Items

Small sets and a class of general functional equations, A theorem of Piccard's type in abelian Polish groups, Regularization and general methods in the theory of functional equations, Haar null and Haar meager sets: a survey and new results, Remarks on the Cauchy functional equation and variations of it

Cites Work

• A property of a set of positive measure and its application
• Measurability and continuity for a functional equation on a topological group
• On sets of Haar measure zero in abelian Polish groups
• A General Functional Equation
• Christensen Zero Sets and Measurable Convex Functions
• Christensen measurability of polynomial functions and convex functions of higher orders
• A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications
• Regularity properties of functional equations