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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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Add 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 to the inventory that you are selling on WonderClubX
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Add 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 to your collection on WonderClub |