Analog of the Whittaker-Kotel'nikov-Shannon theorem from the point of view of Fourier-Bessel analysis

DOI10.1134/S0001434608010252zbMath1150.94006MaRDI QIDQ948579

Sergei S. Platonov

Publication date: 16 October 2008

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceentire function of exponential typeharmonic analysisBessel functioninterpolation formulaWhittaker-kotel'nikov-shannon (sampling) theorem

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spline approximation (41A15) Sampling theory in information and communication theory (94A20)

Cites Work

• Harmonics and splines as optimal tools for approximation and recovery
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