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arXiv · 1005.4751

On the Beurling dimension of exponential frames

Dorin Ervin Dutkay·Deguang Han·Qiyu Sun·Eric Weber
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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.

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Dorin Ervin Dutkay, Deguang Han, Qiyu Sun, Eric Weber. 2010-06-04. On the Beurling dimension of exponential frames. https://arxiv.org/abs/1005.4751

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