Geodesic
Analog of the Whittaker--Kotelnikov--Shannon Theorem from the Point of View of Fourier--Bessel Analysis
Matematičeskie zametki, Tome 83 (2008) no. 2, pp. 264-272

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In this paper, we obtain an analog of the Whittaker–Kotelnikov–Shannon theorem on the basis of the harmonic Fourier–Bessel analysis. We construct a new interpolation formula for a class of entire functions of exponential type in which generalized Bessel translations are used instead of the usual translations.
Keywords: harmonic analysis, Whittaker–Kotelnikov–Shannon (sampling) theorem, entire function of exponential type, Bessel function, Hilbert space.
Mots-clés : interpolation formula 
@article{MZM_2008_83_2_a7,
     author = {S. S. Platonov},
     title = {Analog of the {Whittaker--Kotelnikov--Shannon} {Theorem} from the {Point} of {View} of {Fourier--Bessel} {Analysis}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {264--272},
     publisher = {mathdoc},
     volume = {83},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_2_a7/}
}
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S. S. Platonov. Analog of the Whittaker--Kotelnikov--Shannon Theorem from the Point of View of Fourier--Bessel Analysis. Matematičeskie zametki, Tome 83 (2008) no. 2, pp. 264-272. http://geodesic.mathdoc.fr/item/MZM_2008_83_2_a7/