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Matematicheskie Zametki, 2008, Volume 83, Issue 2, Pages 264–272
DOI: https://doi.org/10.4213/mzm3835 (Mi mzm3835) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Analog of the Whittaker–Kotelnikov–Shannon Theorem from the Point of View of Fourier–Bessel Analysis

S. S. Platonov

Petrozavodsk State University
Full-text PDF (440 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm3835
Abstract: 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, interpolation formula, entire function of exponential type, Bessel function, Hilbert space.
Received: 06.06.2006
Revised: 08.02.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 2, Pages 238–245
DOI: https://doi.org/10.1134/S0001434608010252
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: S. S. Platonov, “Analog of the Whittaker–Kotelnikov–Shannon Theorem from the Point of View of Fourier–Bessel Analysis”, Mat. Zametki, 83:2 (2008), 264–272; Math. Notes, 83:2 (2008), 238–245
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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