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

• Autores: Gennadiy Feldman, Margaryta Myronyuk
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 75, Nº. 1-2, 2008, págs. 75-92
• Idioma: inglés
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• Resumen

  • Let Y be a locally compact abelian group, Aut(Y) be the group of topological automorphisms of the group Y and ? ? Aut(Y). We study the continuous and measurable solutions to the Skitovich�Darmois equation which appears in the problem of characterization of a Gaussian distribution by the independence of linear forms.