Fractal Zeta Functions and Fractal Drums
Lapidus, Michel L. / ¿Ubrini¿, Darko / Radunovi¿, Goran![Fractal Zeta Functions and Fractal Drums](https://support.digitalhusky.com/media/annotations/sorted/283/28392915/CHSBZCOP0328392915.jpg)
This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums. It provides a significant extension of the existing theory of zeta functions for fractal strings to fractal sets and arbitrary bounded sets in Euclidean spaces of any dimension. Two new clas...