Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6426101 | Advances in Mathematics | 2011 | 13 Pages |
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
Dorin Ervin Dutkay, Deguang Han, Qiyu Sun, Eric Weber,