Geometric properties of projections of reproducing kernels on \(z^*\)-invariant subspaces of \(H^2\) (Q1282336)
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scientific article; zbMATH DE number 1270853
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric properties of projections of reproducing kernels on \(z^*\)-invariant subspaces of \(H^2\) |
scientific article; zbMATH DE number 1270853 |
Statements
Geometric properties of projections of reproducing kernels on \(z^*\)-invariant subspaces of \(H^2\) (English)
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18 May 1999
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Let \(\Lambda = \{ \lambda_i\}\) be a sequence on the unit disc \({\mathcal D}\) of the complex plane satisfying the Blaschke condition. Let \(K(w,z)= 1/(1-\overline{w}z)\) be the reproducing kernel in the Hardy space \(H^2({\mathcal D})\) and consider the family \(K_{\Lambda}= \{ K(\lambda_{i}, \cdot)\}\). The author presents different results concerning with geometric properties of \(K_{\Lambda}\).
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minimal family
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Schur-Nevanlinna coefficients
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complete family
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extreme point
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unconditional basis
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Blaschke condition
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reproducing kernel
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