On \(s\)-elementary super frame wavelets and their path-connectedness

DOI10.1007/s10440-011-9635-5zbMath1226.42023OpenAlexW2014570648MaRDI QIDQ645023

Yuanan Diao, Zhong Yan Li

Publication date: 8 November 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-011-9635-5

zbMATH Keywords

waveletsframe waveletspath-connectivitysuper frame waveletssuper wavelets

Mathematics Subject Classification ID

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

Related Items (4)

A class of vector-valued subspace weak Gabor duals of type II ⋮ On Parseval super-frame wavelets ⋮ Frame vector multipliers for finite group representations ⋮ Subspace dual super wavelet and Gabor frames

Cites Work

• Gabor (super)frames with Hermite functions
• Multipliers, phases and connectivity of MRA wavelets in \(L^{2}(\mathbb R^{2})\)
• Intrinsic \(s\)-elementary Parseval frame multiwavelets in \(L^2(\mathbb R^d)\)
• The path-connectivity of \(s\)-elementary frame wavelets with frame MRA
• Basic properties of wavelets
• Tight frame wavelets, their dimension functions, MRA tight frame wavelets and connectivity properties
• Super-wavelets and decomposable wavelet frames
• MRA super-wavelets
• Frame wavelet sets in $\mathbb {R}$
• Subspaces with normalized tight frame wavelets in ℝ
• Oversampling generates super-wavelets
• Wandering vectors for unitary systems and orthogonal wavelets
• The s-elementary wavelets are path-connected
• The s-elementary frame wavelets are path connected
• Unnamed Item

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