Derivative uniform sampling via Weierstrass \(\sigma(z)\). Truncation error analysis in \([2,{\pi q\over{2s^2}})\) (Q2726702)
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scientific article; zbMATH DE number 1621374
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Derivative uniform sampling via Weierstrass \(\sigma(z)\). Truncation error analysis in \([2,{\pi q\over{2s^2}})\) |
scientific article; zbMATH DE number 1621374 |
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6 September 2001
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derivative sampling
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entire functions
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plane sampling reconstruction
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circular truncation error
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Derivative uniform sampling via Weierstrass \(\sigma(z)\). Truncation error analysis in \([2,{\pi q\over{2s^2}})\) (English)
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Let \(f(z)\) be an entire function of order at most 2 and of type less than \(\pi q/(2s^2)\), where \(q\) is a non-negative integer and \(s>0\). Then for such an entire function, \(f(z)\), the ``\(q^{th}\)-order derivative sampling series reconstruction procedure'' is valid. In the paper under review, the author derives a uniform upper bound for the (circular) truncation error.
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