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Fractals

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Part of the book series: Modern Birkhäuser Classics ((MBC))

Abstract

Let ℝn be euclidean n-space.We collect some basic notation and fundamental facts about measures on sets in ℝn. More details may be found in [Fal85] and [Mat95], and the references given there. Otherwise we assume that the reader is familiar with measure and integration theory. We follow [Mat95] (see also [Fed96], p. 53), by calling measure what is often called outer measure. The reader must be well aware of this in what follows.

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References

  1. Mattila, P., Geometry of sets and measures in euclidean spaces. Cambridge Univ. Press, 1995

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  2. Falconer, K.J., Fractal geometry. Chichester, Wiley, 1990

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  3. Falconer, K.J., The geometry of fractal sets. Cambridge Univ. Press, 1985

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  4. Federer, H., Geometric measure theory. Berlin, Springer, 1996 (Reprint of the 1969 ed.)

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  5. Schmeisser, H.-J. and Triebel, H., Topics in Fourier analysis and function spaces. Chichester, Wiley, 1987

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Correspondence to Hans Triebel .

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© 1997 Birkhäuser Verlag

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Triebel, H. (1997). Fractals. In: Fractals and Spectra. Modern Birkhäuser Classics. Springer, Basel. https://doi.org/10.1007/978-3-0348-0034-1_1

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  • DOI: https://doi.org/10.1007/978-3-0348-0034-1_1

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  • Publisher Name: Springer, Basel

  • Print ISBN: 978-3-0348-0033-4

  • Online ISBN: 978-3-0348-0034-1

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