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FRACTAL SPECTRAL MEASURES IN TWO DIMENSIONS
- 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 |
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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. |
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Subject(s): |
Fractal Spectral Measure |
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Persistent Link to This Record: | http://purl.flvc.org/ucf/fd/CFE0003873 | |
Restrictions on Access: | public | |
Host Institution: | UCF |