On the Beurling dimension of exponential frames

Published 26 May 2010 in math.FA | (1005.4751v2)

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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