On the functional equation \(1/p\cdot \{f(x/p)+\cdots +f((x+p- 1)/p)\}=\lambda f(\mu x)\)
From MaRDI portal
Publication:1070127
DOI10.1215/kjm/1250521114zbMath0583.39006OpenAlexW1521324611MaRDI QIDQ1070127
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
periodic solutionabsolutely continuous solutioncontinuously differentiable solutionslocally integrable solutionsolution of bounded variation
Related Items (4)
Solving \((I-S)g=f\) when \(S\) is a generalized shift operator ⋮ On the structure of self-similar sets ⋮ Extended spectral decompositions of the Rényi map ⋮ Generalized self-similarity
This page was built for publication: On the functional equation \(1/p\cdot \{f(x/p)+\cdots +f((x+p- 1)/p)\}=\lambda f(\mu x)\)
