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ISSN 1079-6762

 
 

 

Orthogonal harmonic analysis
of fractal measures


Authors: Palle E. T. Jorgensen and Steen Pedersen
Journal: Electron. Res. Announc. Amer. Math. Soc. 4 (1998), 35-42
MSC (1991): Primary 28A75, 42B10, 42C05; Secondary 47C05, 46L55
DOI: https://doi.org/10.1090/S1079-6762-98-00044-4
Published electronically: May 5, 1998
MathSciNet review: 1618687
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Abstract: We show that certain iteration systems lead to fractal measures admitting an exact orthogonal harmonic analysis.


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Additional Information

Palle E. T. Jorgensen
Affiliation: Department of Mathematics, University of Iowa, Iowa City, IA 52242
Email: jorgen@math.uiowa.edu

Steen Pedersen
Affiliation: Department of Mathematics, Wright State University, Dayton, OH 45435
Email: steen@math.wright.edu

DOI: https://doi.org/10.1090/S1079-6762-98-00044-4
Keywords: Spectral pair, tiling, Fourier basis, self-similar measure, fractal, affine iteration, spectral resolution, Hilbert space
Received by editor(s): October 13, 1997
Published electronically: May 5, 1998
Communicated by: Yitzhak Katznelson
Article copyright: © Copyright 1998 American Mathematical Society