Solutions of Convolution Equations in Convex Sets

DOI10.2307/2374566zbMath0628.46036OpenAlexW2328804423MaRDI QIDQ3764701

Daniele C. Struppa, Carlos. A. Berenstein

Publication date: 1987

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374566

zbMATH Keywords

convolution equationsfundamental principleexponential polynomial solutionsdistributions of compact support

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Operations with distributions and generalized functions (46F10) Classical almost periodic functions, mean periodic functions (42A75) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Linear integral equations (45A05) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (6)

Characterization of convolution operators on spaces of \(C^{\infty}\)- functions admitting a continuous linear right inverse ⋮ A local version of the two-circles theorem ⋮ On Lojasiewicz-type inequalities for exponential polynomials ⋮ Discrete interpolating varieties in pseudoconvex open sets of \(\mathbb C^n\) ⋮ Dirichlet series and convolution equations ⋮ The existence and the continuation of holomorphic solutions for convolution equations in tube domains

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