Pre-dual of the function algebra \(A^{-\infty}(D)\) and representation of functions in Dirichlet series

DOI10.1007/S11785-010-0047-8zbMath1275.32008OpenAlexW2468578155MaRDI QIDQ371620

Le Hai Khoi, Alexander V. Abanin

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-010-0047-8

zbMATH Keywords

Dirichlet seriesLaplace transformationfunction algebraanalytic functionalpre-dualweakly sufficient set

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Algebras of holomorphic functions of several complex variables (32A38) Algebras of analytic functions of one complex variable (30H50)

Related Items (8)

Solvability of the inhomogeneous Cauchy-Riemann equation in projective weighted spaces ⋮ Generators for spaces of entire functions with a system of weighted estimates ⋮ Surjectivity criteria for convolution operators in \(A^{-\infty}\) ⋮ Convolution operators in \(A^{-\infty}\) for convex domains ⋮ Dual of the function algebra 𝐴^{-∞}(𝐷) and representation of functions in Dirichlet series ⋮ 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 ⋮ Mutual dualities betweenA^−∞(Ω) and for lineally convex domains

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