A remark on orthonormal bases of compactly supported wavelets in Triebel- Lizorkin spaces. The case \(0

DOI10.1007/BF01196859zbMath0755.42018OpenAlexW2078204341MaRDI QIDQ1193264

Winfried Sickel

Publication date: 27 September 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196859

zbMATH Keywords

tempered distributionsunconditional basiswavelet basisnon-homogeneous Triebel-Lizorkin space

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (6)

Fourier multipliers between weighted anisotropic function spaces. I: Besov spaces ⋮ Orthogonal systems of spline wavelets as unconditional bases in Sobolev spaces ⋮ Spline representations of Lizorkin-Triebel spaces with general weights ⋮ Haar projection numbers and failure of unconditional convergence in Sobolev spaces ⋮ Multiscale characterizations of Besov spaces on bounded domains ⋮ Some topics on wavelet analysis

Cites Work

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• A discrete transform and decompositions of distribution spaces
• Local approximation spaces
• Spline bases and spline representations in function spaces
• Hilbert Schemes as Moduli of Higgs Bundles and Local Systems
• Maximal functions measuring smoothness
• Spline Representations of Functions in Besov-Triebel-Lizorkin Spaces on ℝ n
• Orthonormal bases of compactly supported wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)

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