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Algebras in sets of queer functions

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Abstract

We show that the set of continuous nowhere differentiable functions, the set of Dirichlet series which are bounded in the right half-plane and diverge everywhere on the imaginary axis, and the set of continuous interpolating functions contain big algebras.

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Authors and Affiliations

  1. Laboratoire Bordelais d’Analyse et de Géométrie, UMR 5467, Université de Bordeaux I, Cours de la Libération 351, F-33405, Talence cedex, France

    Frédéric Bayart

  2. Institut de Mathématique, Université de Mons-Hainaut, Le Pentagone, Avenue du Champ de Mars, 6, B-7000, Mons, Belgique

    Lucas Quarta

Authors
  1. Frédéric Bayart
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  2. Lucas Quarta
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Partially supported by a grant from the “Banque Nationale de Belgique”.

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Bayart, F., Quarta, L. Algebras in sets of queer functions. Isr. J. Math. 158, 285–296 (2007). https://doi.org/10.1007/s11856-007-0014-x

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  • DOI: https://doi.org/10.1007/s11856-007-0014-x

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