On the distribution of zero sets of holomorphic functions. III: Converse theorems

DOI10.1134/S0016266319020047zbMath1434.30008arXiv1811.10393OpenAlexW2963239278WikidataQ127454107 ScholiaQ127454107MaRDI QIDQ2278743

F. B. Khabibullin, Bulat N. Khabibullin

Publication date: 10 December 2019

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

Full work available at URL: https://arxiv.org/abs/1811.10393

zbMATH Keywords

zerosholomorphic functionssubharmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Boundary value problems in the complex plane (30E25)

Related Items (5)

POISSON-JENSEN FORMULAS AND BALAYAGE OF MEASURES ⋮ The Logarithm of the Modulus of an Entire Function as a Minorant for a Subharmonic Function outside a Small Exceptional Set ⋮ Preorders on subharmonic functions and measures with applications to the distribution of zeros of holomorphic functions ⋮ A criterion for the sequence of roots of holomorphic function with restrictions on its growth ⋮ Necessary and sufficient conditions for zero subsets of holomorphic functions with upper constraints in planar domains

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