Resonances and discrete spectrum of the Laplace operator on hyperbolic surfaces
- Authors: Popov D.A.1
-
Affiliations:
- Lomonosov Moscow State University, Belozersky Research Institute of Physico-Chemical Biology
- Issue: Vol 89, No 5 (2025)
- Pages: 165-180
- Section: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/331264
- DOI: https://doi.org/10.4213/im9649
- ID: 331264
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Abstract
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
Keywords
About the authors
Dmitrii Aleksandrovich Popov
Lomonosov Moscow State University, Belozersky Research Institute of Physico-Chemical Biology
Email: popov-kupavna@yandex.ru
Doctor of physico-mathematical sciences, Senior Researcher
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