Title

Bessel sequences of exponentials on fractal measures

Authors

Authors

D. E. Dutkay; D. G. Han;E. Weber

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

J. Funct. Anal.

Keywords

Fractal; Iterated function system; Frame; Bessel sequence; Riesz basic; sequence; Beurling dimension; ITERATED FUNCTION SYSTEMS; MOCK FOURIER-SERIES; BEURLING DIMENSION; FRAMES; SUBSPACES; Mathematics

Abstract

Jorgensen and Pedersen have proven that a certain fractal measure v has no infinite set of complex exponentials which form an orthonormal set in L(2)(nu). We prove that any fractal measure mu obtained from an affine iterated function system possesses a sequence of complex exponentials which forms a Riesz basic sequence, or more generally a Bessel sequence, in L(2)(mu) such that the frequencies have positive Beurling dimension. Published by Elsevier Inc.

Journal Title

Journal of Functional Analysis

Volume

261

Issue/Number

9

Publication Date

1-1-2011

Document Type

Article

DOI Link

http://dx.doi.org/10.1016/j.jfa.2011.06.018

Language

English

First Page

2529

Last Page

2539

WOS Identifier

WOS:000294703500007

ISSN

0022-1236

Recommended Citation

"Bessel sequences of exponentials on fractal measures" (2011). Faculty Bibliography 2010s. 1268.
https://stars.library.ucf.edu/facultybib2010/1268