Characterizations of principal shift-invariant spaces.

DOI10.1007/s11766-002-0007-9zbMath1033.42041OpenAlexW1967586218MaRDI QIDQ1847625

Zhengchang Wu

Publication date: 22 March 2004

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-002-0007-9

zbMATH Keywords

generatordifference operatorsshift-invariant spaceslinearly independent shifts

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) General harmonic expansions, frames (42C15) Rate of convergence, degree of approximation (41A25)

Cites Work

• Factorization theorems for univariate splines on regular grids
• Shift-invariant spaces and linear operator equations
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
• On linear independence for integer translates of a finite number of functions
• Shift-invariant spaces on the real line
• The Toeplitz Theorem and its Applications to Approximation Theory and Linear PDE's

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