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FRACTAL SPECTRAL MEASURES IN TWO DIMENSIONS

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Date Issued:
2011
Abstract/Description:
We study spectral properties for invariant measures associated to affine iterated function systems. We present various conditions under which the existence of a Hadamard pair implies the existence of a spectrum for the fractal measure. This solves a conjecture proposed by Dorin Dutkay and Palle Jorgensen, in several special cases in dimension 2.
Title: FRACTAL SPECTRAL MEASURES IN TWO DIMENSIONS.
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Name(s): Alrud, Bengt, Author
Dutkay, Dorin, Committee Chair
University of Central Florida, Degree Grantor
Type of Resource: text
Date Issued: 2011
Publisher: University of Central Florida
Language(s): English
Abstract/Description: We study spectral properties for invariant measures associated to affine iterated function systems. We present various conditions under which the existence of a Hadamard pair implies the existence of a spectrum for the fractal measure. This solves a conjecture proposed by Dorin Dutkay and Palle Jorgensen, in several special cases in dimension 2.
Identifier: CFE0003873 (IID), ucf:48732 (fedora)
Note(s): 2011-05-01
Ph.D.
Sciences, Department of Mathematics
Masters
This record was generated from author submitted information.
Subject(s): Fractal
Spectral
Measure
Persistent Link to This Record: http://purl.flvc.org/ucf/fd/CFE0003873
Restrictions on Access: public
Host Institution: UCF

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