arxiv: 1005.4751 · v2 · submitted 2010-05-26 · 🧮 math.FA

On the Beurling dimension of exponential frames

Dorin Ervin Dutkay , Deguang Han , Qiyu Sun , Eric Weber This is my paper

classification 🧮 math.FA

keywords dimensionbeurlingfourierfractalframesaffineassociatedclass

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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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On the Beurling dimension of exponential frames

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