On the relationships between Fourier-Stieltjes coefficients and spectra of measures

• Autorzy: Przemysław Ohrysko , Michał Wojciechowski
• Języki publikacji: EN

Abstrakty

EN

We construct examples of uncountable compact subsets of complex numbers with the property that any Borel measure on the circle group with Fourier coefficients taking values in this set has a natural spectrum. For measures with Fourier coefficients tending to 0 we construct an open set with this property. We also give an example of a singular measure whose spectrum is contained in our set.

Kategorie tematyczne

• 43A25: Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
• 43A10: Measure algebras on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 221
• Numer: 2
• Strony: 117-140

Daty

wydano

2014

Twórcy

autor

Przemysław Ohrysko

• Institute of Mathematics, Polish Academy of Sciences, 00-956 Warszawa, Poland

autor

Michał Wojciechowski

• Institute of Mathematics, Polish Academy of Sciences, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/sm221-2-2