Shift-invariant spaces of tempered distributions and \(L_{p}\)-functions

DOI10.1016/S0021-9045(02)00061-8zbMath1023.46039MaRDI QIDQ1873779

Di-Rong Chen

Publication date: 27 May 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

waveletsshift-invariant spacetempered distributionsToeplitz theoremsemi-convolution

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (1)

Stability of spline-type systems in the abelian case

Cites Work

• Shift-invariant spaces and linear operator equations
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• On the construction of multivariate (pre)wavelets
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
• On linear independence for integer translates of a finite number of functions
• On the Splitting Trick and Wavelet Frame Packets
• The Toeplitz Theorem and its Applications to Approximation Theory and Linear PDE's

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