Behavior of Shannon's sampling series for Hardy spaces

DOI10.1007/S00041-008-9033-1zbMath1174.94009OpenAlexW2095408963MaRDI QIDQ731262

Holger Boche, Ullrich J. Mönich

Publication date: 2 October 2009

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-008-9033-1

zbMATH Keywords

uniform convergenceHardy spacesShannon sampling seriesstable reconstruction

Mathematics Subject Classification ID

Sampling theory in information and communication theory (94A20) Communication theory (94A05)

Related Items (1)

Convergence of classical cardinal series and band limited special functions

Cites Work

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• A Mathematical Theory of Communication
• An estimation of the truncation error for the two-channel sampling formulas
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• The maximal Riesz, Fejér, and Cesàro operators on real Hardy spaces
• Boundedness of the Cesàro operator in Hardy spaces
• On the error in reconstructing a non-bandlimited function by means of the bandpass sampling theorem
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
• Sampling Theorem for the Fourier Transform of a Distribution with Bounded Support

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