Article ID Journal Published Year Pages File Type
4589901 Journal of Functional Analysis 2015 14 Pages PDF
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.

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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Spectral measures with arbitrary Hausdorff dimensions
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