Geodesic
Tunnel Splitting of the Spectrum of the Beltrami--Laplace Operators on Two-Dimensional Surfaces with Square Integrable Geodesic Flow
Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 2, pp. 67-69.

Voir la notice de l'article provenant de la source Math-Net.Ru

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S. Yu. Dobrokhotov; A. I. Shafarevich. Tunnel Splitting of the Spectrum of the Beltrami--Laplace Operators on Two-Dimensional Surfaces with Square Integrable Geodesic Flow. Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 2, pp. 67-69. http://geodesic.mathdoc.fr/item/FAA_2000_34_2_a7/

[1] Kozlov V. V., Simmetrii, topologiya i rezonansy v gamiltonovoi mekhanike, Izd-vo Udmurtskogo gos. univ., 1995 | MR | Zbl

[2] Kolokoltsov V. N., “Geodezicheskie potoki na dvumernykh mnogoobraziyakh s dopolnitelnym polinomialnym po skorostyam pervym integralom”, Izv. AN SSSR, cer. matem., 46:5 (1982), 994–1010 | MR

[3] Babenko I. K., Nekhoroshev N. N., “O kompleksnykh strukturakh na dvumernykh torakh, dopuskayuschikh metriki s netrivialnym kvadratichnym integralom”, Matem. zametki, 58:5 (1995), 643–652 | MR | Zbl

[4] Fedoryuk M. V., Asimptoticheskie metody dlya lineinykh obyknovennykh differentsialnykh uravnenii, Nauka, M., 1983 | MR | Zbl

[5] Maslov V. P., Fedoryuk M. V., Kvaziklassicheskoe priblizhenie dlya uravnenii kvantovoi mekhaniki, Nauka, M., 1976 | MR

[6] Kosygin D. V., Minasov A. A., Sinai Ya. G., “Statisticheskie svoistva spektrov operatorov Laplasa-Beltrami na poverkhnostyakh Liuvillya”, UMN, 48:4 (1993), 3–130 | MR | Zbl