Resonances and discrete spectrum of the Laplace operator on hyperbolic surfaces
- Autores: Popov D.A.1
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Afiliações:
- Lomonosov Moscow State University, Belozersky Research Institute of Physico-Chemical Biology
- Edição: Volume 89, Nº 5 (2025)
- Páginas: 165-180
- Seção: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/331264
- DOI: https://doi.org/10.4213/im9649
- ID: 331264
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Somente assinantes
Resumo
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
Palavras-chave
Sobre autores
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
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