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Orthogonal harmonic analysis of fractal measures
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## Orthogonal harmonic analysis of fractal measures

### Palle E. T. Jorgensen and Steen Pedersen

**Abstract.**
We show that certain iteration systems lead to fractal measures admitting
an exact orthogonal harmonic analysis.

*Copyright 1998 American Mathematical Society*

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#### Article Info

- ERA Amer. Math. Soc.
**04** (1998), pp. 35-42
- Publisher Identifier: S 1079-6762(98)00044-4
- 1991
*Mathematics Subject Classification*. Primary 28A75, 42B10, 42C05;
Secondary 47C05, 46L55
*Key words and phrases*. Spectral pair, tiling, Fourier basis,
self-similar measure, fractal, affine iteration, spectral resolution,
Hilbert space
- Received by the editors October 13, 1997
- Posted on May 5, 1998
- Communicated by Yitzhak Katznelson
- Comments (When Available)

**Palle E. T. Jorgensen**

Department of Mathematics, University of Iowa, Iowa City, IA 52242

*E-mail address:* `jorgen@math.uiowa.edu`

**Steen Pedersen**

Department of Mathematics, Wright State University, Dayton, OH 45435

*E-mail address:* `steen@math.wright.edu`

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