Existence results for refinement equations

DOI10.1007/PL00000125zbMath0945.39012OpenAlexW2012089791MaRDI QIDQ1972854

Anca Deliu, M. Carl Spruill

Publication date: 8 October 2000

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

Full work available at URL: https://doi.org/10.1007/pl00000125

zbMATH Keywords

functional equationcharacteristic functiondilation equationcumulative distribution functionintegrable solutionrefinement equations

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular functions, Cantor functions, functions with other special properties (26A30) Functional equations for real functions (39B22) Absolutely continuous real functions in one variable (26A46)

Related Items (5)

Erdős measures on the Euclidean space and on the group of \(A\)-adic integers ⋮ Probability distribution functions of the Grincevičjus series ⋮ Refinement type equations and Grincevičjus series ⋮ On \(L^1\)-solutions of a two-direction refinement equation ⋮ Dilation equations and Markov operators

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