Mutual singularity of Riesz products on the unit sphere

Doubtsov, Evgueni

doi:10.1090/proc/17036

Mutual singularity of Riesz products on the unit sphere
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by Evgueni Doubtsov;

Proc. Amer. Math. Soc. 153 (2025), 269-277

DOI: https://doi.org/10.1090/proc/17036

Published electronically: November 25, 2024

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Abstract:

We prove analogs of Peyrière’s mutual singularity theorem for standard and generalized Riesz products on the unit sphere of $\mathbb {C}^n$, $n\ge 2$. As a corollary, we obtain an analog of Zygmund’s dichotomy for the Riesz products under consideration.

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