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New Trends in Applied Harmonic Analysis pp 215–279Cite as

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Model Sets and New Versions of Shannon Sampling Theorem

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Abstract

In these notes distinct approaches to define model sets/quasicrystals are discussed. We also discuss some improvements on Shannon sampling theorem obtained by using simple model sets/quasicrystals.

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Author information

Authors and Affiliations

  1. Université Paris 13, Institut Galilée, LIPN– UMR CNRS 7030, 93430, Villetaneuse, France

    Basarab Matei

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  1. Basarab Matei
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Correspondence to Basarab Matei .

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Editors and Affiliations

  1. Department of Mathematics, Vanderbilt University, Nashville, Tennessee, USA

    Akram Aldroubi

  2. Depto. de Matemática, Univ. de Buenos Ai, IMAS - UBA/CONICET, Buenos Aires, Argentina

    Carlos Cabrelli

  3. UFR de Sciences et Technologie, Universite Paris Est Creteil, Creteil Cedex, Paris, France

    Stephane Jaffard

  4. Depto. de Matemática, Univ. de Buenos Ai, IMAS, UBA/CONICET, Buenos Aires, Argentina

    Ursula Molter

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Matei, B. (2016). Model Sets and New Versions of Shannon Sampling Theorem. In: Aldroubi, A., Cabrelli, C., Jaffard, S., Molter, U. (eds) New Trends in Applied Harmonic Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-27873-5_7

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