Baire Category Principle and Uniqueness Theorem

DOI10.2307/1998447zbMath0437.30035OpenAlexW4236768984MaRDI QIDQ3877938

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Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998447

zbMATH Keywords

uniqueness theoremharmonic measuremeromorphic functionBlaschke producttangential approximationcategory principle

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Meromorphic functions of one complex variable (general theory) (30D30) Cluster sets, prime ends, boundary behavior (30D40) Finely holomorphic functions and topological function theory (30G12)

Cites Work

• Uniqueness theorems for bounded holomorphic functions
• The minimum modulus of a bounded analytic function
• Some boundary properties of analytic functions
• A General Principle Involving Baire Category, with Applications to Function Theory and Other Fields
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