Non-existence of measurable solutions of certain functional equations via probabilistic approaches

DOI10.1007/S00010-021-00811-ZzbMath1476.39026arXiv2105.09804OpenAlexW3162576675MaRDI QIDQ2042959

Kazuki Okamura

Publication date: 22 July 2021

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

Full work available at URL: https://arxiv.org/abs/2105.09804

zbMATH Keywords

functional equationsuniform distributionDirac measuremeasurabilityCauchy distribution

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Characterization and structure theory of statistical distributions (62E10)

Cites Work

• Some characterizations of the uniform distribution with applications to random number generation
• A probabilistic note on the Cauchy functional equation
• A probabilistic method of solving Lobachevsky's functional equation
• SOME CHARACTERIZATIONS OF THE CAUCHY DISTRIBUTION
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Non-existence of measurable solutions of certain functional equations via probabilistic approaches