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Characterization of functions whose forward differences are exponential polynomials

J. M. Almira — 2017

Commentationes Mathematicae Universitatis Carolinae

Given { h 1 , , h t } a finite subset of d , we study the continuous complex valued functions and the Schwartz complex valued distributions f defined on d with the property that the forward differences Δ h k m k f are (in distributional sense) continuous exponential polynomials for some natural numbers m 1 , , m t .

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