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Teoremi di unicità per l'equazione funzionale f [ F ( x , y ) ] = H [ f ( x ) , f ( y ) ; x , y ] negli spazi metrici

Stefania Paganoni Marzegalli — 1971

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

In this paper some conditions are given for the solution of uniqueness problem for the functional equation f [ F ( x , y ) ] = H [ f ( x ) , f ( y ) ; x , y ] when x , y belong to a metric space E . If f 1 and f 2 are identical on some E -neighbourhood U of a point a E , they are shown to be identical on the entire domain E . Further conditions are given for the solution of the uniqueness problem.

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