Subspaces generated by wavelet systems

DOI10.1007/BF02308769zbMath1055.42508MaRDI QIDQ1272293

Artur A. Sahakyan, Rudolph Alexander Lorentz

Publication date: 11 April 1999

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

zbMATH Keywords

waveletsshift invariant subspaces

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)

Related Items

Wavelet frames for (not necessarily reducing) affine subspaces. II: The structure of affine subspaces, Wavelet frames for (not necessarily reducing) affine subspaces

Cites Work

• Translation and dilation invariant subspaces of \(L^2(\mathbb{R})\) and multiresolution analyses
• On a Littlewood-Paley identity and characterization of wavelets
• Analytic wavelets generated by radial functions
• Inequalities on Matrix-Dilated Littlewood--Paley EnergyFunctions and Oversampled Affine Operators
• Ten Lectures on Wavelets
• Unnamed Item