Multiresolution analysis and multivariate approximation of smooth signals in \(C_ B(\mathbb{R}^ d)\)

DOI10.1007/s00041-001-4026-3zbMath0887.42030OpenAlexW2084391242MaRDI QIDQ1378940

Adelheid Fischer

Publication date: 11 March 1998

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

Full work available at URL: https://eudml.org/doc/59472

zbMATH Keywords

samplingmultiresolution analysismultivariate approximationvanishing momentsquasi-interpolationmultiscale approximationprewavelet set

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Related Items (5)

On wavelets and prewavelets with vanishing moments in higher dimensions ⋮ Gibbs phenomenon on sampling series based on Shannon's and Meyer's wavelet analysis ⋮ Approximation from shift-invariant spaces by generalized sampling formulas ⋮ The convergence of sampling series based on multiresolution analysis. ⋮ Scaling functions and wavelets with vanishing moments

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