Fractal geometry, complex dimensions and zeta functions : geometry and spectra of fractal strings /
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| Format: | eBook |
| Language: | English |
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New York :
Springer,
[2006]
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| Series: | Springer monographs in mathematics.
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Complex dimensions of ordinary fractal strings
- Complex dimensions of self-similar fractal strings
- Complex dimensions of nonlattice self-similar strings: quasiperiodic patterns and diophantine approximation
- Generalized fractal strings viewed as measures
- Explicit formulas for generalized fractal strings
- The geometry and the spectrum of fractal strings
- Periodic orbits of self-similar flows
- Tubular neighborhoods and Minkowski measurability
- The Riemann hypothesis and inverse spectral problems
- Generalized Cantor strings and their oscillations
- The critical zeros of zeta functions
- Concluding comments, open problems, and perspectives
- Zeta functions in number theory
- Zeta functions of Laplacians and spectral asymptotics
- An application of Nevanlinna theory.