On planar sampling with Gaussian kernel in spaces of bandlimited functions

DOI10.1007/s00041-022-09948-0zbMath1491.94030arXiv2104.09573OpenAlexW3153366298WikidataQ114231678 ScholiaQ114231678MaRDI QIDQ2146304

I. K. Zlotnikov

Publication date: 16 June 2022

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09573

zbMATH Keywords

Hermite polynomialsGaussian kernelPaley-Wiener spacesDelone setBernstein spacesdynamical samplingmulti-dimensional sampling

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) Sampling theory in information and communication theory (94A20)

Cites Work

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• Iterative actions of normal operators
• Revisiting Landau's density theorems for Paley-Wiener spaces
• Slanted matrices, Banach frames, and sampling
• The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
• Fourier frames
• Localization of frames, Banach frames, and the invertibility of the frame operator
• Sampling the flow of a bandlimited function
• Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames
• On multi-dimensional sampling and interpolation
• Necessary density conditions for sampling an interpolation of certain entire functions
• Dynamical sampling
• The Nyquist sampling rate for spiraling curves
• Reconstruction of bandlimited functions from space-time samples
• Functions with Disconnected Spectrum
• Orthogonal Polynomials of Several Variables

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