Subsequences of zeros for classes of entire functions of exponential type distinguished by growth restrictions

DOI10.1090/spmj/1442zbMath1360.30007OpenAlexW2587826434WikidataQ115545842 ScholiaQ115545842MaRDI QIDQ2963044

Galiya Rifkatovna Talipova, T. Yu. Baiguskarov, Bulat N. Khabibullin

Publication date: 17 February 2017

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

Full work available at URL: https://doi.org/10.1090/spmj/1442

zbMATH Keywords

zerosentire functionssubharmonic functions

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (6)

Balayage of measures with respect to (sub-)harmonic functions ⋮ Preorders on subharmonic functions and measures with applications to the distribution of zeros of holomorphic functions ⋮ From integral estimates of functions to uniform and locally averaged ones ⋮ 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 ⋮ Balayage of measures and subharmonic functions to a system of rays. I. The classical case

Cites Work

• The spaces of \(\Omega\)-ultradifferentiable functions and \(\Omega\)-ultradistributions
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• Subsequences of zeros for classes of holomorphic functions, their stability, and the entropy of arcwise connectedness. I
• SETS OF UNIQUENESS IN SPACES OF ENTIRE FUNCTIONS OF A SINGLE VARIABLE
• Dual representation of superlinear functionals and its applications in function theory. II
• Subsequences of zeros for Bernstein spaces and the completeness of systems of exponentials in spaces of functions on an interval
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