Representation of functions in locally convex subspaces of $A^\infty (D)$ by series of exponentials

DOI10.13108/2017-9-3-48zbMath1463.30010OpenAlexW2779977484MaRDI QIDQ5136706

R. S. Yulmukhametov, K. V. Trounov, K. P. Isaev

Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa385

zbMATH Keywords

entire functionsanalytic functionssubharmonic functionsseries of exponentials

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20) Dirichlet series, exponential series and other series in one complex variable (30B50) Quasi-analytic and other classes of functions of one complex variable (30D60)

Related Items (8)

Representation of analytic functions by exponential series in half-plane with given growth majorant ⋮ On entire functions with given asymptotic behavior ⋮ Representing systems of exponents in weight subspaces \(H (D)\) ⋮ On representation of functions from normed subspaces of \(H(D)\) by series of exponentials ⋮ Representing systems of exponentials in projective limits of weighted subspaces of $H(D)$ ⋮ Representing exponential systems in spaces of analytic functions ⋮ Representation of functions by series of exponentials in normed subspaces of \(A^\infty (D)\) ⋮ Representation of analytic functions by exponential series in half-plane

Cites Work

• ON DISCRETE WEAKLY SUFFICIENT SETS IN CERTAIN SPACES OF ENTIRE FUNCTIONS
• Sufficient Sets for Some Spaces of Entire Functions
• Approximation of subharmonic functions
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