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Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function Book

Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function
Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function, 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'' (and especially of ''fractal strings''). In this work, the authors extend previous results , Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function has a rating of 3 stars
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Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function, 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'' (and especially of ''fractal strings''). In this work, the authors extend previous results , Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function
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  • Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function
  • Written by author Christina Q. He,Michel L. Lapidus
  • Published by Providence, R.I. : American Mathematical Society, c1997., 1997/07/31
  • 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'' (and especially of ''fractal strings''). In this work, the authors extend previous results
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Authors

1 Introduction 1
2 Statement of the Main Results 6
2.1 One-dimensional case (n = 1) 6
2.2 Higher dimensional case 10
3 Sharp Error Estimates and their Converse when n = 1 14
3.1 Preliminaries 14
3.2 Two-sided estimates 22
3.3 One-sided estimates 35
4 Spectra of Fractal Strings and the Riemann Zeta-Function 38
4.1 Characterization of h-Minkowski measurability 38
4.2 Existence of a monotonic second term: the Riemann zetafunction 51
5 The Complex Zeros of the Riemann Zeta-Function 57
6 Error Estimates for n [greater than or equal] 2 69
7 Examples 80
Appendix Examples of Gauge Functions 88
References 94


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Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function, 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'' (and especially of ''fractal strings''). In this work, the authors extend previous results , Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function

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Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function, 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'' (and especially of ''fractal strings''). In this work, the authors extend previous results , Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function

Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function

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Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function, 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'' (and especially of ''fractal strings''). In this work, the authors extend previous results , Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function

Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function

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