On the Cauchy difference

DOI10.1007/BF01834002zbMath0796.39011OpenAlexW2068952566MaRDI QIDQ1312263

Karol Baron, Palaniappan Kannappan

Publication date: 6 February 1994

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

Full work available at URL: https://eudml.org/doc/137544

zbMATH Keywords

Cauchy differencefunctional congruencetopological Hausdorff vector spaces

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52)

Related Items

Functions on semigroups with vanishing finite Cauchy differences, On some recent developments in Ulam's type stability, An alternative Cauchy functional equation on a semigroup, A functional equation related to Whitehead's equation on groups, On a theorem of van der Corput, Iterative Pexider equation modulo a subset, SOLUTIONS OF A GOŁA̧B–SCHINZEL-TYPE FUNCTIONAL EQUATION BOUNDED ON ‘BIG’ SETS IN AN ABSTRACT SENSE, Solutions of the \(n\)th-order Cauchy difference equation on groups, Solutions of the third order Cauchy difference equation on groups, On approximately additive functions, Measurable orthogonally additive functions modulo a discrete subgroup, Kernels of higher order Cauchy differences on free groups, A pexiderization of Whitehead's equation

Cites Work

• On an alternative Cauchy equation
• On sets of Haar measure zero in abelian Polish groups
• On the Pexider difference
• Christensen Zero Sets and Measurable Convex Functions
• Functions with measurable differences
• On Convex Functions
• On an alternative functional equation related to the Cauchy equation
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