scientific article; zbMATH DE number 6855813

zbMath1417.94029MaRDI QIDQ4609555

Barbara A. Bailey, W. R. Madych

Publication date: 4 April 2018

Full work available at URL: http://stsip.org/pdf/vol15/vol15pp131-138.pdf

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zbMATH Keywords

entire functions of exponential typeoversamplingsampling theoremscardinal series

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Sampling theory in information and communication theory (94A20) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (4)

Oversampling and aliasing in de Branges spaces arising from Bessel operators ⋮ The limiting behavior of certain sampling series and cardinal splines ⋮ On the convergence of cardinal splines ⋮ Oversampling and undersampling in de Branges spaces arising from regular Schrödinger operators

Cites Work

• Convergence of classical cardinal series and band limited special functions
• Functions of exponential type and the cardinal series
• Cardinal sine series, oversampling, and periodic distributions
• Five short stories about the cardinal series
• An Irregular Sampling Theorem for Functions Bandlimited in a Generalized Sense
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• Convergence of Classical Cardinal Series
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