Local polynomials and the Montel Theorem
classification
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keywords
localgroupsmontelpolynomialstheoremabelianapplycharacterized
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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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