Dynamical sampling for shift-preserving operators

DOI10.1016/j.acha.2020.11.004OpenAlexW3108874958MaRDI QIDQ2659736

Yanyan Li

Publication date: 26 March 2021

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10348

zbMATH Keywords

framesshift-invariant spacesrange functionrange operatordynamical samplingshift-preserving operators

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Related Items (6)

Multivariate Dynamical Sampling in and Shift-Invariant Spaces Associated with Linear Canonical Transform ⋮ Recovery of rapidly decaying source terms from dynamical samples in evolution equations ⋮ 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 ⋮ The structure of group preserving operators

Cites Work

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• Iterative actions of normal operators
• Bessel orbits of normal operators
• 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 \(L^2(\mathbb{R}^n)\)
• Dynamical sampling and frame representations with bounded operators
• Dynamical sampling: time-space trade-off
• Multi-orbital frames through model spaces
• Dynamical sampling on finite index sets
• Exact reconstruction of signals in evolutionary systems via spatiotemporal trade-off
• Shift-invariant spaces on LCA groups
• The Zak transform and the structure of spaces invariant by the action of an LCA group
• System identification in dynamical sampling
• Dynamical sampling
• Dynamical Sampling in Shift-Invariant Spaces
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
• Dynamical Sampling and Systems from Iterative Actions of Operators
• Operator representations of sequences and dynamical sampling
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• Frame properties of operator orbits
• An introduction to frames and Riesz bases

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