Some Supports of Fourier Transforms of Singular Measures are not Rajchman
Artikel i vetenskaplig tidskrift, 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

Författare

Maria Roginskaya

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Mediterranean Journal of Mathematics

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

Vol. 9 2 403-407

Fundament

Grundläggande vetenskaper

Ämneskategorier

Matematisk analys

DOI

10.1007/s00009-011-0127-7