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 Lobachevskii space
Funkcionalʹnyj analiz i ego priloženiâ, Tome 24 (1990) no. 1, pp. 21-28
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B. M. Levitan; L. B. Parnovskii. 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 Lobachevskii space. Funkcionalʹnyj analiz i ego priloženiâ, Tome 24 (1990) no. 1, pp. 21-28. http://geodesic.mathdoc.fr/item/FAA_1990_24_1_a2/
@article{FAA_1990_24_1_a2,
author = {B. M. Levitan and L. B. Parnovskii},
title = {On the asymptotic behavior of the discrete spectrum of the {Dirichlet} and {Neumann} problems for the {Laplace{\textendash}Beltrami} operator on a regular polyhedron in the {Lobachevskii} space},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {21--28},
year = {1990},
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[4] Levitan B.M., “On the asymptotic behaviour of spectral function and discrete spectrum of the Laplace operator on a fundamental domain of Lobachevsky's plane”, Rendiconti del Seminario Matematico e Fisico di Milano, LII (1982), 195–219 | DOI | MR
[5] Marchenko V.A., “Teoremy tauberovogo tipa v spektralnom analize differentsialnykh operatorov”, Izv. AN SSSR. Ser. mat., 19:6 (1955), 381–422 | MR | Zbl
[6] Parnovskii L.B., “Ob asimptotike diskretnogo spektra zadach Dirikhle i Neimana na fundamentalnoi oblasti kristallograficheskoi gruppy”, Mat. zametki, 45:5 (1989), 63–69 | MR | Zbl