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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
    Kozma, Gady and Lev, Nir 2011. Exponential Riesz Bases, Discrepancy of Irrational Rotations and BMO. Journal of Fourier Analysis and Applications, Vol. 17, Issue. 5, p. 879.
    Avdonin, Sergei Bulanova, Anna and Moran, William 2007. Construction of Sampling and Interpolating Sequences for Multi-Band Signals. The Two-Band Case. International Journal of Applied Mathematics and Computer Science, Vol. 17, Issue. 2,
    Olevskii, Alexander and Ulanovskii, Alexander 2006. Universal sampling of band-limited signals. Comptes Rendus Mathematique, Vol. 342, Issue. 12, p. 927.
    Casey, S.D. and Sadle, B.M. 2000. New directions in sampling and multi-rate A-D conversion via number theoretic methods. Vol. 1, Issue. , p. 336.
    Lyubarskii, Yurii I. and Seip, Kristian 1997. Sampling and interpolating sequences for multiband-limited functions and exponential bases on disconnected sets. The Journal of Fourier Analysis and Applications, Vol. 3, Issue. 5, p. 597.
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Sampling and interpolation for a lacunary spectrum

  • Yu. Lyubarskii (a1) and I. Spitkovsky (a2)
Abstract

We reduce the problem of constructing a sampling and interpolating set for the space of functions with limited multi-band spectra to a problem of invertibility of certain convolution operators on a system of intervals, and obtain an example of such a set located in a horizontal strip along the real axis. We also study the question of sampling of a signal with two-banded spectra via its values at the union of two arithmetic progressions.

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COPYRIGHT: © Royal Society of Edinburgh 1996
References
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Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  • ISSN: 0308-2105
  • EISSN: 1473-7124
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics
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