Some Supports of Fourier Transforms of Singular Measures are not Rajchman
Journal article, 2012

Abstract. The notion of Riesz sets tells us that a support of Fourier transform of a measure with non-trivial singular part has to be large. The notion of Rajchman sets tells us that if the Fourier transform tends to zero at infinity outside a small set, then it tends to zero even on the small set. Here we present a new angle of an old question: Whether every Rajchman set should be Riesz.

Rajchman sets

Riesz sets


Maria Roginskaya

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Mediterranean Journal of Mathematics

1660-5446 (ISSN) 1660-5454 (eISSN)

Vol. 9 2 403-407


Basic sciences

Subject Categories

Mathematical Analysis



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