Title

On the Beurling dimension of exponential frames

Authors

Authors

D. E. Dutkay; D. G. Han; Q. Y. Sun;E. Weber

Comments

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Abbreviated Journal Title

Adv. Math.

Keywords

Fractal; Iterated function system; Frame; Hausdorff dimension; Beurling; dimension; ITERATED FUNCTION SYSTEMS; MOCK FOURIER-SERIES; SUBSPACES; Mathematics

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. Published by Elsevier Inc.

Journal Title

Advances in Mathematics

Volume

226

Issue/Number

1

Publication Date

1-1-2011

Document Type

Article

Language

English

First Page

285

Last Page

297

WOS Identifier

WOS:000283902900010

ISSN

0001-8708

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