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Uniqueness sets for unbounded spectra

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Publication:550419
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DOI10.1016/J.CRMA.2011.05.010zbMath1218.43004OpenAlexW2095228118MaRDI QIDQ550419

Alexander Ulanovskii, Alexander Olevskiĭ

Publication date: 8 July 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.05.010



Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46)


Related Items (5)

Exponential frames on unbounded sets ⋮ Reconstruction of Signals: Uniqueness and Stable Sampling ⋮ Discrete uniqueness sets for functions with spectral gaps ⋮ Frames of multi-windowed exponentials on subsets of \(\mathbb R^d\) ⋮ Combining Riesz bases




Cites Work

  • Interpolation in Bernstein and Paley-Wiener spaces
  • Universal sampling and interpolation of band-limited signals
  • On Fourier transforms of functions supported on sets of finite Lebesgue measure
  • On support properties of Lsup(p)-functions and their Fourier transforms
  • On the closure of characters and the zeros of entire functions
  • Approximation of discrete functions and size of spectrum
  • A sparse regular sequence of exponentials closed on large sets




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