Article ID Journal Published Year Pages File Type
6426101 Advances in Mathematics 2011 13 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Authors
, , , ,