Hilbert spaces of distributions having an orthogonal basis of exponentials (Q1976469)
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scientific article; zbMATH DE number 1445612
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hilbert spaces of distributions having an orthogonal basis of exponentials |
scientific article; zbMATH DE number 1445612 |
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Hilbert spaces of distributions having an orthogonal basis of exponentials (English)
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1 May 2001
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One of the main results is a characterization of the Hilbert spaces consisting of distributions supported on \([0,1]\), for which \(\{e^{2\pi i mx}\}_{m\in \mathbb Z}\) is a complete orthonormal system. The results are generalized to spectral pairs, and used to generalize Shannon's sampling theorem.
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band-limited
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sampling
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spectral pairs
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0.89103955
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0.88549924
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0.8840262
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0.8780733
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0.8771938
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0.8715356
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