Characterization of distributions whose forward differences are exponential polynomials

2017/02/06 by Almira, J. M.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1702.01543

Abstract

Given \h₁,⋯,h_t\ a finite subset of ℝ^d, we study the continuous complex valued functions and the Schwartz complex valued distributions f defined on ℝ^d with the property that the forward differences Δ_hk^m_kf are (in distributional sense) continuous exponential polynomials for some natural numbers m₁,⋯,m_t.

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