Analysis Mathematica

, Volume 44, Issue 3, pp 381–387 | Cite as

On the Zero Sets of the Fourier Transform of Singular Measures

  • M. WojciechowskiEmail author


We show that the class of sets E with the property that there exists a measure singular with respect to the Lebesgue measure whose Fourier transform tends to 0 at infinity and vanishes on E contains the Helson sets.

Key words and phrases

singular measure special set 

Mathematics Subject Classification



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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  1. 1.Institute of MathematicsPolish Academy of SciencesWarsawPoland

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