Functions with measurable differences

DOI10.1007/BF01896840zbMath0468.28006OpenAlexW2075489502MaRDI QIDQ3921443

Miklós Laczkovich

Publication date: 1980

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01896840

zbMATH Keywords

weak difference property

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

Related Items (12)

A difference property for functions with bounded second differences on amenable topological groups ⋮ Paul Erdős on functional equations: Contributions and impact ⋮ Lipschitz stability of the Cauchy and Jensen equations ⋮ On the measurability of functions whose sections are derivatives ⋮ Cauchy Difference Operator in Some Orlicz Spaces ⋮ A very strong difference property for semisimple compact connected Lie groups ⋮ Unnamed Item ⋮ Iterative Pexider equation modulo a subset ⋮ Remarks on two problems by M. Laczkovich on functions with Borel measurable differences ⋮ Stability of the Cauchy type equations in the class of differentiable functions ⋮ On the difference property of higher orders for differentiable functions ⋮ On the Cauchy difference

Cites Work

• Difference properties for Banach-valued functions
• A General Functional Equation
• Difference Properties for Continuity and Riemann Integrability on Locally Compact Groups
• Sur Les Fonctions de Deux Variables Dont Les Coupes Sont des Derivees
• A Difference Property for Polynomials and Exponential Polynomials on Abelian Locally Compact Groups
• On the functional equation f(x+y) =f(x) +f(y)
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