Resonances and discrete spectrum of the Laplace operator on hyperbolic surfaces
- 作者: Popov D.A.1
-
隶属关系:
- Lomonosov Moscow State University, Belozersky Research Institute of Physico-Chemical Biology
- 期: 卷 89, 编号 5 (2025)
- 页面: 165-180
- 栏目: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/331264
- DOI: https://doi.org/10.4213/im9649
- ID: 331264
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详细
The spectrum of the Laplace operator
on a non-compact hyperbolic Riemann surface of finite measure is studied.
A sufficient condition for the discrete spectrum to be infinite is obtained.
It is shown that this condition holds near the point
$\Gamma_0(N)/H$ , $N=p_1\cdots p_r$ , of the Teichmüller space.
on a non-compact hyperbolic Riemann surface of finite measure is studied.
A sufficient condition for the discrete spectrum to be infinite is obtained.
It is shown that this condition holds near the point
作者简介
Dmitrii Popov
Lomonosov Moscow State University, Belozersky Research Institute of Physico-Chemical Biology
Email: popov-kupavna@yandex.ru
Doctor of physico-mathematical sciences, Senior Researcher
参考
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