Construction of multivariate compactly supported prewavelets in \(L_{2}\) space and pre-Riesz bases in Sobolev spaces

DOI10.1016/j.jat.2006.03.010zbMath1105.42025OpenAlexW2152765381MaRDI QIDQ854924

Ming-Jun Lai

Publication date: 7 December 2006

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2006.03.010

zbMATH Keywords

Sobolev spacesmulti-resolution analysisbox splinesprewaveletsmultivariatecompactly supportedpre-Riesz bases

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) General harmonic expansions, frames (42C15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (5)

A new construction of a fractional derivative mask for image edge analysis based on Riemann-Liouville fractional derivative ⋮ Nonstationary multiwavelets and multiwavelet packets in Sobolev space \(H^s({\mathbb{R}}^d)\) ⋮ Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation ⋮ Nonhomogeneous wavelet systems in high dimensions ⋮ COMPLETION OF MULTIVARIATE WAVELETS

Uses Software

• na2

Cites Work

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