Representation of functions by series of exponentials in normed subspaces of \(A^\infty (D)\)

DOI10.1007/s10958-021-05485-1zbMath1475.30014OpenAlexW3193843486MaRDI QIDQ2047411

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

Publication date: 20 August 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05485-1

zbMATH Keywords

bounded convex domainanalytic functions smooth up to the boundaryrepresentation by series of exponentials

Mathematics Subject Classification ID

Dirichlet series, exponential series and other series in one complex variable (30B50) Spaces and algebras of analytic functions of one complex variable (30H99)

Cites Work

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• Nontrivial expansions of zero absolutely representing systems
• Representation of functions in locally convex subspaces of $A^\infty (D)$ by series of exponentials
• The absence of unconditional bases of exponentials in Bergman spaces on non-polygonal domains
• Approximation of subharmonic functions

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