Biorthogonal wavelets in \(H^m(\mathbb{R})\)

DOI10.1007/BF02479678zbMath0944.42026MaRDI QIDQ1282029

C. Boigelot, Françoise Bastin

Publication date: 13 July 2000

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

Full work available at URL: https://eudml.org/doc/59593

zbMATH Keywords

waveletsSobolev spacesRiesz basis

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 (6)

Construction of multivariate compactly supported prewavelets in \(L_{2}\) space and pre-Riesz bases in Sobolev spaces ⋮ Biorthogonal wavelets in Sobolev space over local fields of positive characteristic ⋮ About nonstationary multiresolution analysis and wavelets ⋮ Compactly supported wavelet bases for Sobolev spaces ⋮ Biorthogonal wavelets in a generalized Sobolev space ⋮ Wavelet packets in Sobolev space

Cites Work

• Unnamed Item
• Unnamed Item
• On a family of filters arising in wavelet construction
• Compactly supported wavelets in Sobolev spaces of integer order
• Regular compactly supported wavelets in Sobolev spaces
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• On Compactly Supported Spline Wavelets and a Duality Principle
• Biorthogonal bases of compactly supported wavelets

This page was built for publication: Biorthogonal wavelets in \(H^m(\mathbb{R})\)