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Mathematics of Fractals - Yamaguti, Masaya, and Kigami, Jun, and Hata, Masayoshi
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This monograph discusses Mandelbrot's fractals using Hata's work on self-similarities. Included is a discussion by Yamaguchi on computing fractal functions in place of Newtonian differentiation with wavelet analysis. This joint work concludes with a development of fractal analysis. The book is intended for graduate students and research mathematicians interested in global analysis and analysis on manifolds.

Mathematics of Fractals 1997, American Mathematical Society(RI)

ISBN-13: 9780821805374