Multiplicative type functional equations arising from characterization problems

DOI10.1007/S00010-012-0117-2zbMath1259.39017OpenAlexW2056534826MaRDI QIDQ443933

Károly Lajkó, Fruzsina Mészáros

Publication date: 13 August 2012

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

Full work available at URL: https://doi.org/10.1007/s00010-012-0117-2

zbMATH Keywords

general solutiondensity function solution a.e.multiplicative type functional equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22)

Related Items (3)

Generalized Pexider difference equations ⋮ The Lukacs-Olkin-Rubin theorem on symmetric cones without invariance of the ``quotient ⋮ The generalized fundamental equation of information on symmetric cones

Cites Work

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• Functional equations arisen from the characterization of beta distributions
• A functional equation and its application to the characterization of gamma distributions
• Remark to a paper by J. A. Baker
• On the functional equation f(x)g(y) = p(s+y)q(x/y)
• Regularity properties of functional equations in several variables.
• Regularity properties of measurable functions satisfying a multiplicative type functional equation almost everywhere
• On a functional equation related to an independence property for beta distributions
• On Measurable Functions Satisfying Multiplicative Type Functional Equations Almost Everywhere
• Partitions of the Plane Into Sets Having Positive Measure in Every Non-Null Measurable Product Set

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