On the asymptotic behavior of the discrete spectrum of the Dirichlet and Neumann problems for the Laplace-Beltrami operator on a regular polyhedron in the Lobachevskij space (Q2640785)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the asymptotic behavior of the discrete spectrum of the Dirichlet and Neumann problems for the Laplace-Beltrami operator on a regular polyhedron in the Lobachevskij space |
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On the asymptotic behavior of the discrete spectrum of the Dirichlet and Neumann problems for the Laplace-Beltrami operator on a regular polyhedron in the Lobachevskij space (English)
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1990
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The authors establish the third term in the asymptotics of the problem described in the title. This continues and completes previous work of \textit{A. B. Venkov} [Sov. Math., Dokl. 19, 708-712 (1978); translation from Dokl. Akad. Nauk SSSR 240, No.5, 1021-1024 (1978; Zbl 0414.10024)] and \textit{N. V. Kuznetsov} [Sov. Math., Dokl. 19, 1053-1056 (1978); translation from Dokl. Akad. Nauk SSSR 242, No.1, 40-43 (1978; Zbl 0419.10030)].
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discrete spectrum
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Dirichlet problem
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Neumann problem
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Lobachevskij space
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