Diagonalization of shift-preserving operators

DOI10.1016/j.aim.2021.107892OpenAlexW3186444401MaRDI QIDQ2048609

Yanyan Li

Publication date: 23 August 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05188

zbMATH Keywords

diagonalizationshift-invariant spacesrange functionrange operatorshift-preserving operators

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) General harmonic expansions, frames (42C15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Operators on real function spaces (47B92)

Related Items (3)

Reducing and invariant subspaces under two commuting shift operators ⋮ The structure of shift-invariant subspaces of Sobolev spaces ⋮ Frames by orbits of two operators that commute

Cites Work

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• The structure of translation-invariant spaces on locally compact abelian groups
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• The structure of group preserving operators
• Shift-invariant spaces on LCA groups
• The Zak transform and the structure of spaces invariant by the action of an LCA group
• Characterization of the closedness of the sum of two shift-invariant spaces
• The infimum cosine angle between two finitely generated shift-invariant spaces and its applica\-tions
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
• Borel Measurability in Linear Algebra
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• Sampling in a Union of Frame Generated Subspaces

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