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October 1998 On a theorem of Kaufman: Cantor-type construction of linear fractal Salem sets
Christian Bluhm
Author Affiliations +
Ark. Mat. 36(2): 307-316 (October 1998). DOI: 10.1007/BF02384771

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 in R.

Funding Statement

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

Citation

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Christian Bluhm. "On a theorem of Kaufman: Cantor-type construction of linear fractal Salem sets." Ark. Mat. 36 (2) 307 - 316, October 1998. https://doi.org/10.1007/BF02384771

Information

Received: 21 May 1997; Revised: 12 February 1998; Published: October 1998
First available in Project Euclid: 31 January 2017

zbMATH: 1026.28004
MathSciNet: MR1650442
Digital Object Identifier: 10.1007/BF02384771

Rights: 1988 © Institut Mittag-Leffler

Vol.36 • No. 2 • October 1998
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