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Some Supports of Fourier Transforms of Singular Measures are not Rajchman

Maria Roginskaya (Institutionen för matematiska vetenskaper, matematik)
Mediterranean Journal of Mathematics (1660-5454). Vol. 9 (2012), 2, p. 403-407.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Riesz sets, Rajchman sets


http://arxiv.org/pdf/1102.3577.pdf



Denna post skapades 2011-12-20. Senast ändrad 2015-02-03.
CPL Pubid: 150581

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematisk analys

Chalmers infrastruktur