Fractal Zeta Functions and Fractal Drums
Language: en
Pages: 685
Authors: Michel L. Lapidus
Categories: Mathematics
Type: BOOK - Published: 2017-06-07 - Publisher: Springer

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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 s
Zeta Functions and Complex Dimensions of Relative Fractal Drums
Language: en
Pages:
Authors: Michel L. Lapidus
Categories:
Type: BOOK - Published: 2017 - Publisher:

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Fractal Geometry, Complex Dimensions and Zeta Functions
Language: en
Pages: 583
Authors: Michel L. Lapidus
Categories: Mathematics
Type: BOOK - Published: 2012-09-20 - Publisher: Springer Science & Business Media

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Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional dru
Generalized Minkowski Content, Spectrum of Fractal Drums, Fractal Strings and the Riemann Zeta-Functions
Language: en
Pages: 114
Authors: Christina Q. He
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

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This memoir provides a detailed study of the effect of non power-like irregularities of (the geometry of) the fractal boundary on the spectrum of "fractal drums
Fractal Geometry and Number Theory
Language: en
Pages: 277
Authors: Michel L. Lapidus
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

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A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo metry) of th