Regular compactly supported wavelets in Sobolev spaces

DOI10.1215/S0012-7094-97-08716-0zbMath0883.42026OpenAlexW2037251488MaRDI QIDQ1363111

Pascal Laubin, Françoise Bastin

Publication date: 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-97-08716-0

zbMATH Keywords

Sobolev spacescompactly supported wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (13)

Multivariate box spline wavelets in higher-dimensional Sobolev spaces ⋮ OPERATOR-ADAPTED WAVELETS: CONNECTION WITH THE STRANG–FIX CONDITIONS ⋮ Construction of multivariate compactly supported prewavelets in \(L_{2}\) space and pre-Riesz bases in Sobolev spaces ⋮ Nonstationary multiwavelets and multiwavelet packets in Sobolev space \(H^s({\mathbb{R}}^d)\) ⋮ Wavelets in Sobolev space over local fields of positive characteristics ⋮ Unnamed Item ⋮ About nonstationary multiresolution analysis and wavelets ⋮ Analysis of a semi-Lagrangian method for the spherically symmetric Vlasov-Einstein system ⋮ Wavelets in a generalized Sobolev space ⋮ Estimation of intrinsic processes affected by additive fractal noise ⋮ Multiwavelets in the generalized Sobolev space \(H^{\omega}_W(\mathbb R^n)\) ⋮ Biorthogonal wavelets in \(H^m(\mathbb{R})\) ⋮ Wavelet packets in Sobolev space

Cites Work

• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Quadrature Formulae and Asymptotic Error Expansions for Wavelet Approximations of Smooth Functions
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