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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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