Characterization and connectivity of generalized filters in \(L^2(\mathbb R^d)\)

DOI10.1007/s10440-008-9297-0zbMath1190.42020OpenAlexW2010579103MaRDI QIDQ1038725

Zhong Yan Li

Publication date: 20 November 2009

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

Full work available at URL: https://doi.org/10.1007/s10440-008-9297-0

zbMATH Keywords

generalized filters\(A\)-dilationgeneralized filter multipliers

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Cites Work

• The path-connectivity of MRA wavelets in \(L^2(\mathbb R^d)\)
• On multiresolution analysis (MRA) wavelets in \(\mathbb{R}^n\)
• On a class of bidimensional nonseparable wavelet multipliers
• The characterization of low pass filters and some basic properties of wavelets, scaling functions and related concepts
• Parseval frame wavelets with \(E_{n}^{(2)}\)-dilations
• Ten Lectures on Wavelets
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