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Local polynomials and the Montel Theorem

Published 18 Mar 2014 in math.FA | (1403.4486v1)

Abstract: In this paper local polynomials on Abelian groups are characterized by a "local" Fr\'echet-type functional equation. We apply our result to generalize Montel's Theorem and to obtain Montel-type theorems on commutative groups.

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