Basis in an invariant space of entire functions

DOI10.1090/spmj/1387zbMath1335.30012OpenAlexW2510631629MaRDI QIDQ2786981

A. S. Krivosheev, O. A. Krivosheeva

Publication date: 24 February 2016

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

Full work available at URL: https://doi.org/10.1090/spmj/1387

zbMATH Keywords

existence of a basisspaces of entire functions invariant under differentiation

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Entire and meromorphic functions of one complex variable, and related topics (30D99)

Related Items (10)

Representation of functions in an invariant subspace with almost real spectrum ⋮ Invariant Subspaces in Unbounded Domains ⋮ On the representation by series of exponential monomials with almost real exponents ⋮ Domain of existence of the sum of a series of exponential monomials ⋮ Representation of analytic functions in bounded convex domains on the complex plane ⋮ The distribution of singular points of the sum of a series of exponential monomials on the boundary of its domain of convergence ⋮ Lower bounds for entire functions ⋮ Invariant subspaces in half-plane ⋮ Representation of analytic functions by series of exponential monomials in convex domains and its applications ⋮ Invariant spaces of entire functions

Cites Work

• Indicators of an entire function and the regularity of the growth of the Fourier coefficients of the logarithm of its modulus
• Théorie générale des fonctions moyenne-périodiques
• ON INDICATORS OF ENTIRE FUNCTIONS AND EXTENSION OF SOLUTIONS OF A HOMOGENEOUS CONVOLUTION EQUATION
• Complex analysis and convolution operators
• 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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