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Dimensions of Riesz products and pluriharmonic measures

Complex Variables 2024-05-24 v1
Authors: Evgueni Doubtsov
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Abstract

We estimate the energy and Hausdorff dimensions of the Riesz products on the unit sphere of Cn\mathbb{C}^n, n≥2n\ge 2. Also, we obtain similar results for the pluriharmonic measures on the torus.

Keywords

Riesz product Hausdorff dimension energy pluriharmonic measure unit sphere

Cite

@article{arxiv.2405.14609,
  title  = {Dimensions of Riesz products and pluriharmonic measures},
  author = {Evgueni Doubtsov},
  journal= {arXiv preprint arXiv:2405.14609},
  year   = {2024}
}

Comments

7 pages

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