An existence domain of the sum of exponential monomials series

DOI10.3103/S1066369X21030051zbMath1468.30016OpenAlexW3140594290WikidataQ115488672 ScholiaQ115488672MaRDI QIDQ2027954

A. S. Krivosheev, O. A. Krivosheeva

Publication date: 28 May 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21030051

zbMATH Keywords

convergence domainseries of exponential monomials

Mathematics Subject Classification ID

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

Cites Work

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• Fundamental principle and a basis in invariant subspaces
• A criterion for the fundamental principle to hold for invariant subspaces on bounded convex domains in the complex plane
• A fundamental principle for invariant subspaces in convex domains
• The distribution of singular points of the sum of a series of exponential monomials on the boundary of its domain of convergence
• A Taylor - Dirichlet series with no singularities on its abscissa of convergence
• Regularly distributed subsets in the complex plane
• Singular points of the sum of a series of exponential monomials on the boundary of the convergence domain

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