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Spectrally reasonable measures II by Ohrysko, Przemysław; Wojciechowski, Michał is a scholarly article available to read on EtoBox.

What is Spectrally reasonable measures II about?

A measure on a locally compact Abelian group is said to have a natural spectrum if its spectrum is equal to the closure of the range of the Fourier-Stieltjes transform. In this paper we continue the study of spectrally reasonable measures (measures perturbing any measure with a natural spectrum to a measure with a natural spectrum) initiated in \cite{ow}. Particularly, we provide a full characterization of such measures for certain class of locally compact Abelian groups which includes the circle and the real line. We also elaborate on the spectral properties of measures with non-natural but real spectra constructed by F. Parreau.

Author

Ohrysko, Przemysław; Wojciechowski, Michał

Published

2019

Language

EN