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The Skitovich-Darmois equation in the classes of continuous and measurable functions

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Publication:5971251
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DOI10.1007/S00010-007-2873-YzbMath1138.39021OpenAlexW2079070153MaRDI QIDQ5971251

Margaryta Myronyuk, Gennadiy Feldman

Publication date: 15 April 2008

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

Full work available at URL: https://doi.org/10.1007/s00010-007-2873-y


zbMATH Keywords

functional equationGaussian distributionlocally compact abelian groupgroup of topological automorphismsSkitovich-Darmois equationcontinuous and measurable solutions


Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)


Related Items (1)

The Kac-Bernstein functional equation on abelian groups







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