Some Results on the Convergence of Sampling Series Based on Convolution Integrals

DOI10.1137/S1052623493255096zbMath0844.42018MaRDI QIDQ4857615

Elsa Cortina, Sônia M. Gomes

Publication date: 3 September 1996

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

waveletsconvergencemultiresolution analysissampling seriesDaubechies scaling functionsGibbs phenomena

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (6)

Approximation of functions of space \(L^2(\mathbb R)\) by wavelet expansions ⋮ The aliasing error in recovery of nonbandlimited signals by prefiltering and sampling ⋮ Gibbs phenomenon on sampling series based on Shannon's and Meyer's wavelet analysis ⋮ A simple scheme for semi-recursive identification of Hammerstein system nonlinearity by Haar wavelets ⋮ Gibbs' phenomenon for sampling series and what to do about it ⋮ Gibbs phenomenon of framelet expansions and quasi-projection approximation

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