Fractal Haar system |
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| Authors: | M.A. Navascué s |
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| Affiliation: | Departamento de Matemática Aplicada, Universidad de Zaragoza, Spain |
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| Abstract: | The Haar system is an alternative to the classical Fourier bases, being particularly useful for the approximation of discontinuities. The article tackles the construction of a set of fractal functions close to the Haar set. The new system holds the property of constitution of bases of the Lebesgue spaces of p-integrable functions on compact intervals. Likewise, the associated fractal series of a continuous function is uniformly convergent. The case p=2 owns some peculiarities and is studied separately. |
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| Keywords: | Fractal interpolation functions Haar wavelets Bases of functional spaces |
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