Fractal Tube Formulas and Complex Dimensions

Author:

Lapidus Michel L.,Radunović Goran,Žubrinić Darko

Publisher

Springer International Publishing

Reference69 articles.

1. M. Berger and B. Gostiaux, Differential Geometry: Manifolds, Curves and Surfaces, English translation, Springer-Verlag, Berlin, 1988.

2. W. Blaschke, Integralgeometrie, Chelsea, New York, 1949.

3. H. Brezis, Analyse Fonctionnelle: Théorie et Applications, Masson, Paris, 1983; expanded English version: Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer, New York, 2011.

4. B. Demir, Ş. Koçak, Y. Özdemir and A. E. Üreyen, Tube formulas for self-similar fractals with non-Steiner-like generators, in: Proc. Gökova Geometry-Topology Conf. (2012), Internat. Press, Somerville, MA, 2013, pp. 123–145. (Also: e-print, arXiv:0911.4966 [math.MG], 2009.)

5. A. Deniz, Ş. Koçak, Y. Özdemir and A. E. Üreyen, Tube volumes via functional equations, J. Geom. 105 (2014), 1–10.

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