Minimal absolutely representing systems of exponentials for \(A^{-\infty}(\varOmega)\)

DOI10.1016/j.jat.2011.05.011zbMath1276.30008OpenAlexW1507935263MaRDI QIDQ719511

Le Hai Khoi, Yu. S. Nalbandyan, Alexander V. Abanin

Publication date: 10 October 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2011.05.011

zbMATH Keywords

polynomial growthDirichlet seriesholomorphic functionsdual Frechet-Schwartz spaces

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Dirichlet series, exponential series and other series in one complex variable (30B50) Rings and algebras of continuous, differentiable or analytic functions (46E25) Special classes of entire functions of one complex variable and growth estimates (30D15) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (5)

Sufficient sets in weighted Fréchet spaces of entire functions ⋮ Approximation with rational interpolants in \(A^{-\infty}(D)\) for Dini domains ⋮ Representing systems of exponentials in projective limits of weighted subspaces of \(A^\infty (D)\) ⋮ Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth ⋮ Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball

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• Dual of the function algebra 𝐴^{-∞}(𝐷) and representation of functions in Dirichlet series
• On Absolutely Convergent Exponential Sums
• COMPACT FAMILIES OF LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES, FRÉCHET-SCHWARTZ AND DUAL FRÉCHET-SCHWARTZ SPACES
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