Dynamical sampling on finite index sets

DOI10.1007/s11854-020-0099-2zbMath1455.94083arXiv1702.03384OpenAlexW3018755705MaRDI QIDQ2177504

Ursula M. Molter, Friedrich Philipp, Victoria Paternostro, Carlos A. Cabrelli

Publication date: 6 May 2020

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03384

zbMATH Keywords

signal processingdynamical sampling problem

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

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Cites Work

• Iterative actions of normal operators
• Bessel orbits of normal operators
• Every completely polynomially bounded operator is similar to a contraction
• Dynamical sampling: time-space trade-off
• Dynamical sampling
• Harmonic analysis of operators on Hilbert space
• Dynamical Sampling in Shift-Invariant Spaces
• Finite unions of interpolation sequences
• Dynamical Sampling and Systems from Iterative Actions of Operators
• Sampling-50 years after Shannon
• The effect of perturbations of linear operators on their polar decomposition
• On Some Interpolation Problems for Analytic Functions
• Spectral theory of linear operators and spectral systems in Banach algebras
• An introduction to frames and Riesz bases
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