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On Spectral Cantor Measures

By Izabella Łaba and Yang Wang

Abstract

AbstractA probability measure in Rd is called a spectral measure if it has an orthonormal basis consisting of exponentials. In this paper, we study spectral Cantor measures. We establish a large class of such measures, and give a necessary and sufficient condition on the spectrum of a spectral Cantor measure. These results extend the studies by Jorgensen and Pedersen (J. Anal. Math.75 (1998), 185–228) and Strichartz (J. D'Analyse Math.81 (2000), 209–238)

Publisher: Elsevier Science (USA).
Year: 2002
DOI identifier: 10.1006/jfan.2001.3941
OAI identifier:

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