Representation of analytic functions by exponential series in half-plane

DOI10.1134/S1995080222090086zbMath1503.30011OpenAlexW4312738356WikidataQ115525835 ScholiaQ115525835MaRDI QIDQ2095839

A. M. Gaisin, G. A. Gaisina

Publication date: 15 November 2022

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

Full work available at URL: https://doi.org/10.1134/s1995080222090086

zbMATH Keywords

analytic functionexponential series

Mathematics Subject Classification ID

Dirichlet series, exponential series and other series in one complex variable (30B50)

Cites Work

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• On functions uniquely determined by their asymptotic expansion
• Growth of an analytic function near its set of singular points
• Completeness of translates in weighted spaces on the half-line
• Representation of analytic functions by exponential series in half-plane with given growth majorant
• Representation of functions in locally convex subspaces of $A^\infty (D)$ by series of exponentials
• ON RAYS OF COMPLETELY REGULAR GROWTH OF AN ENTIRE FUNCTION
• Approximation of subharmonic functions

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