Singular points of a self-similar function of spectral order zero: self-similar Stieltjes string (Q650280)
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scientific article; zbMATH DE number 5980669
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular points of a self-similar function of spectral order zero: self-similar Stieltjes string |
scientific article; zbMATH DE number 5980669 |
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Singular points of a self-similar function of spectral order zero: self-similar Stieltjes string (English)
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25 November 2011
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The author defines self-similar functions as fixed points for similarity operators. These operators are compositions of piecewise shifts, dilations and renormalizations. The spectral order of a function is defined in terms of the renormalization coefficients. Some basic properties of self-similar functions are studied: when are they piecewise constant, when are they non-decreasing.
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self-similar function
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spectral order
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Stieltjes string
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singular point
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self-similar measure
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similarity operators
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