On spectral Cantor measures (Q1849077)
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| Language | Label | Description | Also known as |
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| English | On spectral Cantor measures |
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On spectral Cantor measures (English)
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28 November 2002
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A probability measure in \(R^d\) is called a spectral measure if it has an orthonormal basis consisting of exponentials. This paper finds conditions for a Cantor measure to be a spectral measure. In particular, a theorem of \textit{R. S. Strichartz} [J. Anal. Math. 81, 209-238 (2000; Zbl 0976.42020)] is improved, by showing that one of the conditions in the theorem is redundant.
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spectral measure
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Cantor measure
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iterated function systems
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Ruelle operator
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IFS
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