On the Beurling dimension of exponential frames
Functional Analysis
2010-06-07 v2
Abstract
We study Fourier frames of exponentials on fractal measures associated with a class of affine iterated function systems. We prove that, under a mild technical condition, the Beurling dimension of a Fourier frame coincides with the Hausdorff dimension of the fractal.
Cite
@article{arxiv.1005.4751,
title = {On the Beurling dimension of exponential frames},
author = {Dorin Ervin Dutkay and Deguang Han and Qiyu Sun and Eric Weber},
journal= {arXiv preprint arXiv:1005.4751},
year = {2010}
}