On approximation of subharmonic functions

DOI10.1007/BF02790259zbMath0981.31002MaRDI QIDQ5941775

Eugenia Malinnikova, Yurij I. Lyubarskij

Publication date: 30 August 2001

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

approximationentire functionsubharmonic functionNewtonian potential

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (12)

The logarithm of the modulus of a holomorphic function as a minorant for a subharmonic function ⋮ The Beurling–Malliavin Multiplier Theorem and Its Analogs for the de Branges Spaces ⋮ Sampling and interpolation in large Bergman and Fock spaces ⋮ Fock type spaces with Riesz bases of reproducing kernels and de Branges spaces ⋮ The Newman-Shapiro problem ⋮ On entire functions with given asymptotic behavior ⋮ Approximation of subharmonic functions ⋮ A Hilbert lemniscate theorem in \(\mathbb C^{ 2 }\) ⋮ Riesz bases of reproducing kernels in Fock-type spaces ⋮ Frame constants of Gabor frames near the critical density ⋮ Entire functions of sine type and their applications ⋮ Upper and lower densities of Gabor Gaussian systems

Cites Work

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• Beurling-type density theorems for weighted \(L^p\) spaces of entire functions
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• ON RAYS OF COMPLETELY REGULAR GROWTH OF AN ENTIRE FUNCTION
• On the completeness of systems of analytic functions
• Approximation of subharmonic functions

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