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On Spectral Cantor Measures

✍ Scribed by Izabella Łaba; Yang Wang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
148 KB
Volume
193
Category
Article
ISSN
0022-1236

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✦ Synopsis

A probability measure in R d 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.

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