The problem of continuation with least coanalytic deviation (Q1282507)
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scientific article; zbMATH DE number 1274214
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The problem of continuation with least coanalytic deviation |
scientific article; zbMATH DE number 1274214 |
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The problem of continuation with least coanalytic deviation (English)
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4 July 2000
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Let \(K= \{ z : |z |<1\}\) be the unit disc in the complex plane \(\mathbb{C}\), \(S\) its boundary and let \(f:S \to C\) be a function. The author considers the problem of extending \(f\) to \(K\) so that the continuation has the least deviation from the Sobolev subspace of analytic functions. The paper includes a mathematical model of the problem.
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continuation of functions in the complex plane
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Sobolev space
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harmonic continuation
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complex Fourier series
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coanalytic deviation
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