Fractal Zeta Functions and Fractal Drums Rutilius Taurus Aemilianus Reiseweltmeister"

Reiseweltmeister"

Utrecht University

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Fractal Zeta Functions and Fractal Drums Rutilius Taurus Aemilianus Reiseweltmeister"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 classes of