On spectral Cantor measures

Details On spectral Cantor measures On spectral Cantor measures

2001-09-19

arxiv.org/abs/math/0109126v1

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

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. This extends the earlier results of Jorgensen-Pedersen and Strichartz.

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