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Poisson Type Generators for L 1(ℝ)

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Abstract

We characterize the discrete sets Λ⊆ℝ such that {φ(t−λ),λ∈Λ} span L 1(ℝ), φ being an L 1(ℝ)-function whose Fourier transform behaves like e −2π|ξ|.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, 1090, Vienna, Austria

    Gerard Ascensi

  2. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Cerdanyola del Valles, Spain

    Joaquim Bruna

Authors
  1. Gerard Ascensi
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  2. Joaquim Bruna
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Corresponding author

Correspondence to Gerard Ascensi.

Additional information

Communicated by Fernandi Soria.

Both authors are supported by MTM2005-08984-C02-01 and 2005SGR00611 projects.

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Ascensi, G., Bruna, J. Poisson Type Generators for L 1(ℝ). J Fourier Anal Appl 15, 553–560 (2009). https://doi.org/10.1007/s00041-009-9060-6

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  • DOI: https://doi.org/10.1007/s00041-009-9060-6

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