Reconstructing hyperbolic cross trigonometric polynomials by sampling along rank-1 lattices (Q2870627)
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scientific article; zbMATH DE number 6248280
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reconstructing hyperbolic cross trigonometric polynomials by sampling along rank-1 lattices |
scientific article; zbMATH DE number 6248280 |
Statements
21 January 2014
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hyperbolic cross
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trigonometric approximation
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fast Fourier transform
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Reconstructing hyperbolic cross trigonometric polynomials by sampling along rank-1 lattices (English)
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Full grid discretizations in the high dimension lead to an exponential growth in the number of degrees of freedom.The authors present necessary and sufficient conditions on rank-1 lattices allowing a stable reconstruction of trigonometric polynomials supported on hyperbolic crosses.
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