Construction of a class of multivariate compactly supported wavelet bases for \(L^2(\mathbb{R}^d)\)

DOI10.1007/S11464-011-0161-6zbMath1252.42050OpenAlexW1999717727MaRDI QIDQ1758578

Yun-Zhang Li, Feng-Ying Zhou

Publication date: 15 November 2012

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-011-0161-6

zbMATH Keywords

Riesz basiswaveletrefinable function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (1)

Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation

Cites Work

• Using the refinement equation for the construction of pre-wavelets
• A general framework of compactly supported splines and wavelets
• A stability criterion for biorthogonal wavelet bases and their related subband coding scheme
• Compactly supported wavelet bases for Sobolev spaces
• On the construction of multivariate (pre)wavelets
• Bessel sequences in Sobolev spaces
• Intersection of dilates of shift-invariant spaces
• THE CONSTRUCTION OF A CLASS OF TRIVARIATE NONSEPARABLE COMPACTLY SUPPORTED WAVELETS
• On Compactly Supported Spline Wavelets and a Duality Principle
• Biorthogonal bases of compactly supported wavelets
• Approximation properties of multivariate wavelets
• On the construction of a class of bidimensional nonseparable compactly supported wavelets
• \(L_p\) solutions of refinement equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Construction of a class of multivariate compactly supported wavelet bases for \(L^2(\mathbb{R}^d)\)