Zeros of functions with finite Dirichlet integral

DOI10.1090/S0002-9939-04-07361-7zbMath1084.30006MaRDI QIDQ4813648

William T. Ross, C.-E. Sundberg, Stephan Richter

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

capacityharmonic measureDirichlet spacesequence of zeros

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) Capacity and harmonic measure in the complex plane (30C85)

Related Items (4)

Onto interpolation for the Dirichlet space and for \(H_1 (\mathbb{D})\) ⋮ On zero sets in the Dirichlet space ⋮ On the zeros of functions in Dirichlet-type spaces ⋮ Zero sets and uniqueness sets with one cluster point for the Dirichlet space

Cites Work

• Tangential boundary behavior of functions in Dirichlet-type spaces
• On the zeros of functions with finite Dirichlet integral
• Quasi topologies and rational approximation
• On the zeros of functions with finite Dirichlet integral and some related function spaces
• On the zeros of functions with bounded Dirichlet integrals

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