On the representation by series of exponential monomials with almost real exponents

DOI10.1134/s1995080223050384zbMath1523.30040OpenAlexW4386085867MaRDI QIDQ6059264

A. F. Kuzhaev, O. A. Krivosheeva

Publication date: 2 November 2023

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

Full work available at URL: https://doi.org/10.1134/s1995080223050384

zbMATH Keywords

entire functionanalytical continuationseries of exponential monomialsalmost real sequence

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20)

Cites Work

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• Representation of entire functions by series of exponentials
• The closed span of some exponential system in weighted Banach spaces on the real line and a moment problem
• The representation by series of exponential monomials of functions from weight subspaces on a line
• Basis in an invariant space of entire functions
• Representation of functions in an invariant subspace with almost real spectrum
• 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
• A basis in an invariant subspace of analytic functions

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