Title
On The Beurling Dimension Of Exponential Frames
Keywords
Beurling dimension; Fractal; Frame; Hausdorff dimension; Iterated function system
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. © 2010.
Publication Date
1-15-2011
Publication Title
Advances in Mathematics
Volume
226
Issue
1
Number of Pages
285-297
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/j.aim.2010.06.017
Copyright Status
Unknown
Socpus ID
77958455789 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/77958455789
STARS Citation
Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu; and Weber, Eric, "On The Beurling Dimension Of Exponential Frames" (2011). Scopus Export 2010-2014. 3256.
https://stars.library.ucf.edu/scopus2010/3256