Fractal Zeta Functions and Fractal Drums: Higher-Dimensional Theory of Complex Dimensions (Springer Monographs in Mathematics)
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Fractal Zeta Functions and Fractal Drums: Higher-Dimensional Theory of Complex Dimensions (Springer Monographs in Mathematics)

by Michel L. Lapidus, Goran Radunović, Darko Žubrinić

Mathematics complex analysis fractal geometry
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This monograph develops the theory of fractal zeta functions in higher dimensions, examining complex dimensions and their role in the spectral and geometric analysis of fractal drums and related structures.

About This Book

This monograph presents advanced research on fractal zeta functions and their applications to the theory of complex dimensions.

The authors develop a higher-dimensional framework for analyzing geometric and spectral properties of fractal structures.

Topics include the construction of fractal drums and connections between zeta functions and fractal geometry.

The work extends classical results to broader mathematical settings and explores implications for analysis and mathematical physics.

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