Characterization of local sampling sequences for spline subspaces (Q1016131)
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scientific article; zbMATH DE number 5550549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization of local sampling sequences for spline subspaces |
scientific article; zbMATH DE number 5550549 |
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Characterization of local sampling sequences for spline subspaces (English)
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4 May 2009
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The main result of the paper is a characterization theorem of the local sampling sequences for spline subspaces. This result is based on the Schoenberg-Whitney Theorem [see \textit{L. L. Schumaker}, Spline functions: basic theory (1981; Zbl 0449.41004)]. The authors also give a new proof of an irregular sampling theorem by \textit{A. Aldroubi} and \textit{K. Gröchenig} [J. Fourier Anal. Appl. 6, 93--103 (2000; Zbl 0964.42020)]. Several local average sampling theorems are also presented.
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local sampling theorems
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local sampling sequences
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spline subspaces
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irregular sampling
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periodic non-uniform sampling
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