A sampling principle associated wtih Saitoh's fundamental theory of linear transformations (Q2749818)
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scientific article; zbMATH DE number 1664284
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A sampling principle associated wtih Saitoh's fundamental theory of linear transformations |
scientific article; zbMATH DE number 1664284 |
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26 November 2003
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reproducing kernel Hilbert spaces
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sampling principle
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A sampling principle associated wtih Saitoh's fundamental theory of linear transformations (English)
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This well-written article discusses the possibility to release the orthogonality condition for the basis \(\{K(.,t_n)\}\) in the sampling theorem for the range space of a reproducing kernel Hilbert space presented in \textit{S. Saitoh} [``Integral transforms, reproducing kernels and their applications'' (Pitman Research Notes in Mathematics Series 369, Harlow, Longman) (1997; Zbl 0891.44001)]. The result is illustrated by a number of examples on classical systems of polynomials.NEWLINENEWLINEFor the entire collection see [Zbl 0963.00016].
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