On the functional equation \(1/p\cdot \{f(x/p)+\cdots +f((x+p- 1)/p)\}=\lambda f(\mu x)\)

DOI10.1215/kjm/1250521114zbMath0583.39006OpenAlexW1521324611MaRDI QIDQ1070127

Masayoshi Hata

Publication date: 1985

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250521114

zbMATH Keywords

periodic solutionabsolutely continuous solutioncontinuously differentiable solutionslocally integrable solutionsolution of bounded variation

Mathematics Subject Classification ID

Functional equations and inequalities (39B99)

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