贪婪性
发表于 2025-3-27 00:52:22
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doxazosin
发表于 2025-3-27 02:46:02
Patterson-Sullivan Theory,The exponent of convergence . of a Fuchsian group . was defined in (.). We also noted some basic facts about the exponent:
Lime石灰
发表于 2025-3-27 07:45:50
David BorthwickProvides an accessible introduction to geometric scattering theory and the theory of resonances.Discusses important developments such as resonance counting, analysis of the Selberg zeta function, and
裹住
发表于 2025-3-27 12:29:41
Model Resolvents for Cylinders,ese explicit formulas will serve as building blocks when we turn to the construction of the resolvent in the general case in Chapter 6 This is because of the decomposition result of Theorem 2.23, which showed that the ends of non-elementary hyperbolic surfaces are funnels and cusps.
arcane
发表于 2025-3-27 14:43:52
Selberg Zeta Function,h spectrum of . (or, equivalently, to traces of conjugacy classes of .). We will see in this chapter that it deserves to be thought of as a spectral invariant as well, by virtue of a beautiful correspondence between resonances of . and the zeros of ..(.).
aristocracy
发表于 2025-3-27 21:25:46
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AVERT
发表于 2025-3-27 22:09:21
Inverse Spectral Geometry,em is to deduce geometric properties from some knowledge of the spectrum. In the case of a surface with hyperbolic ends, the input data could include the resonance set, the scattering phase, perhaps even the scattering matrix for a particular set of frequencies.
类似思想
发表于 2025-3-28 02:21:10
Numerical Computations,he Selberg zeta function has the same difficulty; the formula does not apply in the region of interest. However, for hyperbolic surfaces without cusps, the dynamical zeta function introduced in §15.3 provides a suitable alternative. The transfer operator is trace-class for any value of ., so analytic continuation is not required.
摸索
发表于 2025-3-28 07:10:14
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弯腰
发表于 2025-3-28 12:55:32
Spectral Theory of Infinite-Area Hyperbolic Surfaces978-3-319-33877-4Series ISSN 0743-1643 Series E-ISSN 2296-505X