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

Arkiv for Matematik (1998) 36(2) 307-316
DOI: 10.1007/BF02384771
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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 approximate numbers in R.

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Bluhm, C. (1998). On a theorem of Kaufman: Cantor-type construction of linear fractal Salem sets. Arkiv for Matematik, 36(2), 307–316. https://doi.org/10.1007/BF02384771

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