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arXiv · 2211.12927

Dimensional estimates for measures on quaternionic spheres

Rami Ayoush·Michał Wojciechowski
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Abstract

In this article we provide lower bounds for the lower Hausdorff dimension of finite measures assuming certain restrictions on their quaternionic spherical harmonics expansion. This estimate is an analog of a result previously obtained by the authors for the complex spheres.

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Rami Ayoush, Michał Wojciechowski. 2022-11-23. Dimensional estimates for measures on quaternionic spheres. https://arxiv.org/abs/2211.12927

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