Tight Multiwavelet Frames with Different Matrix Dilations and Matrix Translations

DOI10.1080/01630563.2010.501268zbMath1202.42056OpenAlexW2026985654MaRDI QIDQ3058356

Dengfeng Li, Xian Liang Shi

Publication date: 19 November 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.501268

zbMATH Keywords

affine framesBessel sequencesmatrix dilationmatrix translationtight multiwavelet frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (1)

Existence of Matrix-Valued Multiresolution Analysis-Based Matrix-Valued Tight Wavelet Frames

Cites Work

• Unnamed Item
• Necessary condition and sufficient condition for affine frames
• Characterization of multiwavelets with different real dilations and translations
• Characterization of general tight wavelet frames with matrix dilations and tightness preserving oversampling
• A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\)
• Homogeneous Approximation Property for Multivariate Continuous Wavelet Transforms
• A sufficient condition for affine frames with matrix dilation
• Sufficient Conditions for Irregular Wavelet Frames
• Orthonormal wavelets and tight frames with arbitrary real dilations

This page was built for publication: Tight Multiwavelet Frames with Different Matrix Dilations and Matrix Translations