Shannon sampling and estimation of band-limited functions in the several complex variables setting (Q815140)
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scientific article; zbMATH DE number 5008222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shannon sampling and estimation of band-limited functions in the several complex variables setting |
scientific article; zbMATH DE number 5008222 |
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Shannon sampling and estimation of band-limited functions in the several complex variables setting (English)
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21 February 2006
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The authors develop the \(n\)-dimensional sinc function theory by analogy with the one-dimensional theory. For functions in the Paley-Wiener classes the authors prove exact interpolation and quadrature; for other functions the error estimates of approximation is obtained. For band-limited functions in \(n\)-dimensional strips an exponential convergence rate of the error estimates are obtained.
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sinc function
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harmonic analysis
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interpolation
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quadrature
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error estimates
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band-limited functions
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exponential convergence
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