Zero sets and random zero sets in certain function spaces

DOI10.1007/BF03008409zbMath0819.30003OpenAlexW2008765081MaRDI QIDQ1343312

Charles Horowitz, Eliyahu Beller

Publication date: 7 August 1995

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

Full work available at URL: https://doi.org/10.1007/bf03008409

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 (4)

Unnamed Item ⋮ Zeros sets and radial zero sets in function spaces ⋮ Nonuniqueness sequences for weighted algebras of holomorphic functions in the unit circle ⋮ Subsequences of zeros for classes of holomorphic functions, their stability, and the entropy of arcwise connectedness. I

Cites Work

• A probabilistic zero set condition for the Bergman space
• A criterical growth rate for functions regular in a disk
• The zeros of functions in Nevanlinna's area class
• A Blaschke-type product and random zero sets for Bergman spaces
• Zeros of functions in the Bergman spaces
• Zeros of \(A^p\) functions and related classes of analytic functions
• Beurling type density theorems in the unit disk
• Some conditions on Bergman space zero sets
• On the zeros of functions with finite Dirichlet integral and some related function spaces
• An extension of the Riesz-Herglotz formula

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