Singular points of the sum of a Dirichlet series on the convergence line

DOI10.1007/s10688-015-0094-zzbMath1325.30002OpenAlexW911671399MaRDI QIDQ498565

A. S. Krivosheev, O. A. Krivosheeva

Publication date: 29 September 2015

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-015-0094-z

zbMATH Keywords

singular pointsDirichlet series

Mathematics Subject Classification ID

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

Related Items (8)

Domain of existence of the sum of a series of exponential monomials ⋮ The distribution of singular points of the sum of a series of exponential monomials on the boundary of its domain of convergence ⋮ Representation of analytic functions ⋮ Lower bounds for entire functions ⋮ SINGULAR POINTS FOR THE SUM OF A SERIES OF EXPONENTIAL MONOMIALS ⋮ Representation of analytic functions by series of exponential monomials in convex domains and its applications ⋮ The representation by series of exponential monomials of functions from weight subspaces on a line ⋮ Regularly distributed subsets in the complex plane

Cites Work

• A criterion for the fundamental principle to hold for invariant subspaces on bounded convex domains in the complex plane
• Sur la croissance radiale d'une fonction méromorphe
• 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
• INVARIANT SUBSPACES OF ANALYTIC FUNCTIONS. III. ON THE EXTENSION OF SPECTRAL SYNTHESIS
• On the Growth of Functions of Mean Type
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