Universal Faber series (Q2774478)
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scientific article; zbMATH DE number 1713789
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Universal Faber series |
scientific article; zbMATH DE number 1713789 |
Statements
28 February 2002
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Faber expansion
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overconvergence
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polynomial approximation
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Universal Faber series (English)
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The authors have introduced the notion of universal Faber series in the strong sense and have established its properties. The main result of the paper is: Theorem 4.6. Let \(\Omega\) be a Jordan domain with analytic boundary in \({\mathbf C}\). Then the sets of universal Faber series in \(\Omega\) in the strong and weak senses are \(G_\delta\)-dense subsets of the set of analytic functions in \(\Omega\).
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