On the Beurling dimension of exponential frames

    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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