Resonances and discrete spectrum of the Laplace operator on hyperbolic surfaces
- Авторлар: Popov D.A.1
-
Мекемелер:
- Lomonosov Moscow State University, Belozersky Research Institute of Physico-Chemical Biology
- Шығарылым: Том 89, № 5 (2025)
- Беттер: 165-180
- Бөлім: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/331264
- DOI: https://doi.org/10.4213/im9649
- ID: 331264
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Тек жазылушылар үшін
Аннотация
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
Негізгі сөздер
Авторлар туралы
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
Әдебиет тізімі
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