Spectral measures with arbitrary Hausdorff dimensions
Functional Analysis
2014-12-17 v1
Abstract
In this paper, we consider spectral properties of Riesz product measures supported on homogeneous Cantor sets and we show the existence of spectral measures with arbitrary Hausdorff dimensions, including non-atomic zero-dimensional spectral measures and one-dimensional singular spectral measures.
Cite
@article{arxiv.1412.4852,
title = {Spectral measures with arbitrary Hausdorff dimensions},
author = {Xin-Rong Dai and Qiyu Sun},
journal= {arXiv preprint arXiv:1412.4852},
year = {2014}
}