Convergence of classical cardinal series and band limited special functions

DOI10.1007/s00041-013-9291-4zbMath1315.40001OpenAlexW2082120874MaRDI QIDQ485198

W. R. Madych, Barbara A. Bailey

Publication date: 9 January 2015

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

Full work available at URL: https://doi.org/10.1007/s00041-013-9291-4

zbMATH Keywords

entire functions of exponential typesampling theoremsasymptotic growth boundscardinal seriesspecial band limited functionssymmetric partial sums

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Interpolation in approximation theory (41A05) Sampling theory in information and communication theory (94A20) Series expansions of functions of one complex variable (30B99)

Related Items (7)

Convergence and Regularization of Sampling Series ⋮ Cardinal sine series, oversampling, and periodic distributions ⋮ Sampling Series, Refinable Sampling Kernels, and Frequency Band Limited Functions ⋮ Functions of exponential type and the cardinal series ⋮ The limiting behavior of certain sampling series and cardinal splines ⋮ On the convergence of cardinal splines ⋮ Unnamed Item

Uses Software

• Chebfun

Cites Work

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