Fractal functions and interpolation
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Publication:1084590
DOI10.1007/BF01893434zbMath0606.41005MaRDI QIDQ1084590
Publication date: 1986
Published in: Constructive Approximation (Search for Journal in Brave)
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Cites Work
- Arithmetic Properties of Bernoulli Convolutions
- Some Theorems on Stable Processes
- Invariant Densities for Random Maps of the Interval
- Iterated function systems and the global construction of fractals
- Solution of an inverse problem for fractals and other sets
- Sets of Fractional Dimensions (V): on Dimensional Numbers of Some Continuous Curves
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item