Regularly distributed subsets in the complex plane

DOI10.1090/spmj/1458zbMath1369.30028OpenAlexW2610850139MaRDI QIDQ5268009

Aĭdar Irekovich Abdulnagimov, A. S. Krivosheev

Publication date: 14 June 2017

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1458

zbMATH Keywords

entire functionsasymptptic behaviorcompleteness of systems of exponential monomials

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items

Invariant subspaces in half-plane ⋮ The distribution of singular points of the sum of a series of exponential monomials on the boundary of its domain of convergence ⋮ On one Leontiev-Levin theorem ⋮ An existence domain of the sum of exponential monomials series ⋮ Representation of analytic functions by series of exponential monomials in convex domains and its applications ⋮ On the necessary and sufficient conditions for the measurability of a positive sequence

Cites Work

• A criterion for the fundamental principle to hold for invariant subspaces on bounded convex domains in the complex plane
• Singular points of the sum of a Dirichlet series on the convergence line
• A theorem on divisors of entire functions of finite order
• A fundamental principle for invariant subspaces in convex domains
• Singular points of the sum of a series of exponential monomials on the boundary of the convergence domain
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