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math.SPOct 1, 2019
2
citations (OpenAlex)
authors
  • Julio H. Toloza
  • Alfredo Uribe
institutions
  • Centro Científico Tecnológico - Bahía Blanca
  • Consejo Nacional de Investigaciones Científicas y Técnicas
  • Instituto de Matemática de Bahía Blanca
  • Universidad Autónoma Metropolitana
  • Universidad Nacional del Sur
arXiv abstractPDF
paper

Oversampling and aliasing in de Branges spaces arising from Bessel operators

arXiv:1910.12146 · doi:10.1016/j.jmaa.2020.124428

Abstract

We show that a class of de Branges spaces, generated by means of generalized Fourier transforms associated with perturbed Bessel differential equations, has the properties of oversampling and aliasing.

arXiv comment22 pages

References in corpus (6)

  • On the Singular Weyl-Titchmarsh Function of Perturbed Spherical Schroedinger Operators
  • Inverse Eigenvalue Problems for Perturbed Spherical Schroedinger Operators
  • Applications of M.G. Krein's Theory of Regular Symmetric Operators to Sampling Theory
  • Aliasing-truncation Errors in Sampling Approximations of Sub-Gaussian Signals
  • Bounded Mean Oscillation and Bandlimited Interpolation in the Presence of Noise
  • Oversampling and undersampling in de Branges spaces arising from regular Schrödinger operators
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