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arXiv · 1702.01543

Characterization of distributions whose forward differences are exponential polynomials

J. M. Almira
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Abstract

Given $\{h_1,\cdots,h_{t}\} $ a finite subset of $\mathbb{R}^d$, we study the continuous complex valued functions and the Schwartz complex valued distributions $f$ defined on $\mathbb{R}^d$ with the property that the forward differences $\Delta_{h_k}^{m_k}f$ are (in distributional sense) continuous exponential polynomials for some natural numbers $m_1,\cdots,m_t$.

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J. M. Almira. 2017-02-06. Characterization of distributions whose forward differences are exponential polynomials. https://arxiv.org/abs/1702.01543

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