Unified conditions for wavelet frames

DOI10.1515/GMJ.2011.0047zbMath1230.42040OpenAlexW2021686874MaRDI QIDQ3108555

Dengfeng Li, Xiao-Hui Yang, Guo-Chang Wu

Publication date: 4 January 2012

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

Full work available at URL: https://doi.org/10.1515/gmj.2011.0047

zbMATH Keywords

shift-invariant spacewavelet framesGabor frames

Mathematics Subject Classification ID

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

Related Items (5)

Frames associated with shift-invariant spaces on local fields ⋮ Sufficient conditions for shift-invariant systems to be frames in \(L^2({\mathbb R^n})\) ⋮ Inequalities for nonuniform wavelet frames ⋮ Gabor frames on local fields of positive characteristic ⋮ Frames associated with shift invariant spaces on positive half line

Cites Work

• Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
• On dual wavelet tight frames
• Affine frames, quasi-affine frames, and their duals
• A unified characterization of reproducing systems generated by a finite family
• Compactly supported tight and sibling frames with maximum vanishing moments
• Framelets: MRA-based constructions of wavelet frames
• On multivariate compactly supported bi-frames
• Inequalities of Littlewood–Paley Type for Frames and Wavelets
• Weyl-Heisenberg frames for subspaces of $L^2(R)$
• Orthonormal wavelets and tight frames with arbitrary real dilations

This page was built for publication: Unified conditions for wavelet frames