On measurable solutions of a general functional equation on topological groups

• Autores: Tomasz Kochanek, Michal Lewicki
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 3-4, 2011, págs. 527-533
• Idioma: inglés
• DOI: 10.5486/pmd.2011.4579
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• Resumen

  • We establish a theorem of the type \measurability implies continuity" for solutions f of the functional equation ..(f(x); f(y)) = (x; y; f( 1x + 1y); : : : ; f( nx + ny)) under reasonable conditions upon the integers i, i and the mappings .., .