On 2-dimensional mobile sampling

DOI10.1016/j.acha.2022.08.001zbMath1504.42079arXiv2005.11193OpenAlexW4291208486MaRDI QIDQ2105100

Alexander Rashkovskii, Alexander Ulanovskii, I. K. Zlotnikov

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/2005.11193

zbMATH Keywords

Paley-Wiener spacesBeurling densityBernstein spacesuniqueness setmobile sampling

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Moment problems and interpolation problems in the complex plane (30E05) Entire functions of several complex variables (32A15) Sampling theory in information and communication theory (94A20) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (3)

A sufficient condition for mobile sampling in terms of surface density ⋮ t-Design Curves and Mobile Sampling on the Sphere ⋮ Sampling trajectories for the short-time Fourier transform

Cites Work

• Revisiting Landau's density theorems for Paley-Wiener spaces
• On minimal trajectories for mobile sampling of bandlimited fields
• On the growth of entire functions with ``planar zeros
• Zeros of analytic functions of several variables
• Discrete sets of uniqueness for entire functions of exponential type of several variables
• On the connection between exponential bases and certain related sequences in \(L^ 2 (-\pi, \pi)\)
• A sufficient condition for mobile sampling in terms of surface density
• On multi-dimensional sampling and interpolation
• Necessary density conditions for sampling an interpolation of certain entire functions
• The Nyquist sampling rate for spiraling curves
• Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds
• Functions with Disconnected Spectrum
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