Oversampling and aliasing in de Branges spaces arising from Bessel operators

DOI10.1016/J.JMAA.2020.124428zbMath1471.46024arXiv1910.12146OpenAlexW2981624505MaRDI QIDQ2657687

Julio H. Toloza, Alfredo Uribe

Publication date: 14 March 2021

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

Full work available at URL: https://arxiv.org/abs/1910.12146

zbMATH Keywords

sampling theoryoversamplingaliasingde Branges spacesingular Schrödinger operator

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Sampling theory in information and communication theory (94A20)

Uses Software

• DLMF

Cites Work

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• A class of \({n}\)-entire Schrödinger operators
• Sampling theorem for bandlimited Hardy space functions generated by Regge problem
• On the singular Weyl-Titchmarsh function of perturbed spherical Schrödinger operators
• Oversampling and reconstruction functions with compact support
• On Lagrange interpolations and Kramer's sampling theorem associated with self-adjoint boundary value problems
• Pontryagin spaces of entire functions. I
• A characterization of intermediate Weyl coefficients
• Schrödinger operators and de Branges spaces.
• Whittaker-Kotelnikov-Shannon sampling theorem and aliasing error
• Frames and oversampling formulas for band limited functions
• Oversampling and undersampling in de Branges spaces arising from regular Schrödinger operators
• Bounded mean oscillation and bandlimited interpolation in the presence of noise
• The classical and approximate sampling theorems and their equivalence for entire functions of exponential type
• Cardinal sine series, oversampling, and periodic distributions
• Aliasing-Truncation Errors in Sampling Approximations of Sub-Gaussian Signals
• Inverse eigenvalue problems for perturbed spherical Schrödinger operators
• On Kramer’s Sampling Theorem Associated with General Sturm-Liouville Problems and Lagrange Interpolation
• Some Hilbert Spaces of Entire Functions
• Integral transforms and sampling theorems
• de Branges Spaces and Kreĭn’s Theory of Entire Operators
• On Lagrange Interpolation and Kramer-Type Sampling Theorems Associated with Sturm–Liouville Problems
• Nonuniform sampling, reproducing kernels, and the associated Hilbert spaces
• Spikes, Roots, and Aliasing: Recovering Bandlimited Signals from Roots of the Short-Time Fourier Transform
• Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces
• An Interpolation Series Associated with the Bessel-Hankel Transform
• Applications of Krein's theory of regular symmetric operators to sampling theory

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