Geodesic
Sampling and interpolation for the discrete Hilbert and Kak–Hilbert transforms
Canadian mathematical bulletin, Tome 66 (2023) no. 2, pp. 395-410

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DOI

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 $l^{2}$.
DOI : 10.4153/S0008439522000169
Mots-clés : Discrete Hilbert transform, Kak–Hilbert transform, one-parameter groups of operators, sampling, Riesz–Boas interpolation 
Pesenson, Isaac Z. Sampling and interpolation for the discrete Hilbert and Kak–Hilbert transforms. Canadian mathematical bulletin, Tome 66 (2023) no. 2, pp. 395-410. doi: 10.4153/S0008439522000169
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     author = {Pesenson, Isaac Z.},
     title = {Sampling and interpolation for the discrete {Hilbert} and {Kak{\textendash}Hilbert} transforms},
     journal = {Canadian mathematical bulletin},
     pages = {395--410},
     year = {2023},
     volume = {66},
     number = {2},
     doi = {10.4153/S0008439522000169},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000169/}
}
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