Invariance of a shift-invariant space in several variables

DOI10.1007/s11785-010-0045-xzbMath1281.46027arXiv0905.1933OpenAlexW2020244221MaRDI QIDQ371618

Magalí Anastasio, Victoria Paternostro, Carlos A. Cabrelli

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1933

zbMATH Keywords

shift-invariant spacefibersrange functionstranslation invariant space

Mathematics Subject Classification ID

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)

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Cites Work

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• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• Invariance of a shift-invariant space
• Doubly invariant subspaces
• Minimal generator sets for finitely generated shift-invariant subspaces of \(L^{2}(\mathbb R^{n})\)
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)