Sampling theorems and the contour integral method

DOI10.1080/00036819108840021zbMath0661.94015OpenAlexW1975754699WikidataQ58247411 ScholiaQ58247411MaRDI QIDQ3812164

J. R. Higgins

Publication date: 1991

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819108840021

zbMATH Keywords

contour integral methodWhittaker-Kotelnikov-Shannon sampling theoremderivative sampling at lattice points in the complex plane

Mathematics Subject Classification ID

Communication, information (94A99)

Related Items (9)

Derivative sampling for multiband signals ⋮ A sampling theorem with nonuniform complex nodes ⋮ Whittaker-type derivative sampling reconstruction of stochastic \(L^{\alpha }(\Omega )\)-processes ⋮ Hermite interpolation theorems for band-limited functions of the linear canonical transforms with equidistant samples ⋮ On Generalized Derivative Sampling Series Expansion ⋮ The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm-Liouville problem ⋮ A criterion for the uniform convergence of sinc-approximations on a segment ⋮ On divergence of sinc-approximations everywhere on $(0,\pi)$ ⋮ Uniqueness theorems for entire functions having growth [2, π/2)

Cites Work

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• Derivative sampling for multiband signals
• Five short stories about the cardinal series
• Some extremal functions in Fourier analysis
• An Irregular Sampling Theorem for Functions Bandlimited in a Generalized Sense
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method

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