2 results
Sampling and interpolation for the discrete Hilbert and Kak–Hilbert transforms
- Part of
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- Journal:
- Canadian Mathematical Bulletin / Volume 66 / Issue 2 / June 2023
- Published online by Cambridge University Press:
- 07 March 2022, pp. 395-410
- Print publication:
- June 2023
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- Article
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The goal of the paper is to obtain analogs of the sampling theorems and of the Riesz–Boas interpolation formulas which are relevant to the discrete Hilbert and Kak–Hilbert transforms in
$l^{2}$
.
One-parameter Groups of Operators and Discrete Hilbert Transforms
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- Journal:
- Canadian Mathematical Bulletin / Volume 59 / Issue 3 / 01 September 2016
- Published online by Cambridge University Press:
- 20 November 2018, pp. 497-507
- Print publication:
- 01 September 2016
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We show that the discrete Hilbert transform and the discrete Kak–Hilbert transform are infinitesimal generators of one-parameter groups of operators in
${{\ell }^{2}}$.
