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On a theorem of Kaufman: Cantor-type construction of linear fractal Salem sets

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Arkiv för Matematik

Abstract

In this paper we present a deterministic Cantor-type construction of linear fractal Salem sets with prescribed dimension. The construction rests on a paper of Kaufman [10] where he investigated the Fourier dimension of the set of α-well approximable numbers inR.

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Authors and Affiliations

  1. Institut für Mathematik und Informatik, Universität Greifswald, Jahnstraße 15a, D-17487, Greifswald, Germany

    Christian Bluhm

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  1. Christian Bluhm
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Additional information

Supported by Deutsche Forschungsgemeinschaft DFG, Grant BL446/1-1.

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Bluhm, C. On a theorem of Kaufman: Cantor-type construction of linear fractal Salem sets. Ark. Mat. 36, 307–316 (1998). https://doi.org/10.1007/BF02384771

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  • DOI: https://doi.org/10.1007/BF02384771

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