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Discrete Translates in Function Spaces

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Excursions in Harmonic Analysis, Volume 6

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

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Abstract

This paper is a more complete version of the lecture presented by the first author at the Fourier Analysis and Applications Conference celebrating John Benedetto’s 80th Birthday in the University of Maryland, September 19–21, 2019. We discuss different aspects of the completeness property of translates in \(L^p(\mathbb {R})\) and in more general Banach function spaces. In particular, we describe a wide class of Banach spaces that can be generated by uniformly discrete translates of a single function.

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Author information

Authors and Affiliations

  1. Tel Aviv University, Tel Aviv, Israel

    Alexander Olevskii

  2. Stavanger University, Stavanger, Norway

    Alexander Ulanovskii

Authors
  1. Alexander Olevskii
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  2. Alexander Ulanovskii
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Corresponding author

Correspondence to Alexander Ulanovskii .

Editor information

Editors and Affiliations

  1. Department of Computational Mathematics, Science & Engineering, Michigan State University, East Lansing, MI, USA

    Matthew Hirn

  2. Department of Mathematics, San Francisco State University, San Francisco, CA, USA

    Shidong Li

  3. Department of Mathematics, Tufts University, Medford, MA, USA

    Kasso A. Okoudjou

  4. Department of Mathematics, Computer Science and Economics, University of Basilicata, Potenza, Potenza, Italy

    Sandra Saliani

  5. Department of Mathematics, University of British Columbia, Vancouver, BC, Canada

    Özgür Yilmaz

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Olevskii, A., Ulanovskii, A. (2021). Discrete Translates in Function Spaces. In: Hirn, M., Li, S., Okoudjou, K.A., Saliani, S., Yilmaz, Ö. (eds) Excursions in Harmonic Analysis, Volume 6. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-69637-5_11

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