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On spectral Cantor measures

Izabella Laba·Yang Wang
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Abstract

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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Izabella Laba, Yang Wang. 2001-09-19. On spectral Cantor measures. https://arxiv.org/abs/math/0109126

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