Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IM2_1989_33_3_a4, author = {Yu. G. Safarov}, title = {Exact asymptotics of the spectrum of a~boundary value problem, and periodic billiards}, journal = {Izvestiya. Mathematics }, pages = {553--573}, publisher = {mathdoc}, volume = {33}, number = {3}, year = {1989}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_1989_33_3_a4/} }
Yu. G. Safarov. Exact asymptotics of the spectrum of a~boundary value problem, and periodic billiards. Izvestiya. Mathematics , Tome 33 (1989) no. 3, pp. 553-573. http://geodesic.mathdoc.fr/item/IM2_1989_33_3_a4/
[1] Vasilev D. G., “Dvuchlennaya asimptotika spektra kraevoi zadachi pri vnutrennem otrazhenii obschego vida”, Funkts. analiz i ego prilozh., 18:4 (1984), 1–13 | MR
[2] Vasilev D. G., “Asimptotika spektra kraevoi zadachi”, Tr. Moskovskogo matem. ob-va, 49, 1986, 167–237 | MR
[3] Vasilev D. G., “Dvuchlennaya asimptotika spektra kraevoi zadachi v sluchae kusochno gladkoi granitsy”, Dokl. AN SSSR, 286:5, 1043–1046 | MR
[4] Giiemin V., Sternberg S., Geometricheskie asimptotiki, Mir, M., 1981 | MR
[5] Ivrii V. Ya., “O vtorom chlene spektralnoi asimptotiki dlya operatora Laplasa–Beltrami na mnogoobraziyakh s kraem”, Funkts. analiz k ego prilozh., 14:2 (1980), 25–34 | MR | Zbl
[6] Kornfeld I. P., Sinai Ya. G., Fomin S. V., Ergodicheskaya teoriya, Nauka, M., 1980 | MR
[7] Kucherenko V. V., “Asimptoticheskie resheniya uravneniya s kompleksnymi kharakteristikami”, Matem. sb., 95:2 (1974), 164–213
[8] Levitan B. M., “Asimptoticheskoe povedenie spektralnoi funktsii ellipticheskogo uravneniya”, Uspekhi matem. nauk, 26:6 (1971), 151–212 | MR | Zbl
[9] Maslov V. P., Fedoryuk M. V., Kvaziklassicheskoe priblizhenie dlya uravnenii kvantovoi mekhaniki, Nauka, M., 1976 | MR
[10] Safarov Yu. G., “Ob asimptotike sobstvennykh znachenii zadach difraktsii”, Dokl. AN SSSR, 281:5 (1985), 1058–1061 | MR | Zbl
[11] Safarov Yu. G., “Asimptotika spektra psevdodifferentsialnogo operatora s periodicheskimi bikharakteristikami”, Zap. nauchn. semin. LOMI, 152, 1986, 94–104 | Zbl
[12] Trev F., Vvedenie v teoriyu psevdodifferentsialnykh operatorov i integralnykh operatorov Fure, t. 1, Mir, M., 1984 | Zbl
[13] Trev F., Vvedenie v teoriyu psevdodifferentsialnykh operatorov i integralnykh operatorov Fure, t. 2, Mir, M., 1984 | Zbl
[14] Fedoryuk M. V., “Osobennosti yader integralnykh operatorov Fure i asimptotika resheniya smeshannoi zadachi”, Uspekhi matem. nauk, 32:6 (1977), 67–115 | MR | Zbl
[15] Colin de Verdiere J., “Sur le spectre des opérateurs eslliptiques a bicaractéristiques toutes periodiques”, Comment. Math. Helvetici, 54:3 (1979), 508–522 | MR | Zbl
[16] Dulstermaat J., Guillemin V., “The spectrum of positive elliptic operators and periodic bicharacteristics”, Invent. Math., 29 (1975), 39–79 | DOI | MR
[17] Guillemin V., Melrose R., “Poisson summation formula on a manifold with boundary”, Adv. in Math., 32 (1979), 204–232 | DOI | MR | Zbl
[18] Gurejev T. E., Safarov Yu. G., Precise asymptotics of the spectrum for the Laplace operator on manifolds with periodic geodesies, Preprint E-1-86, LOMI, L., 1986
[19] Hörmander L., “The spectral function of an elliptic operator”, Acta Math., 121 (1968), 193–218 | DOI | MR | Zbl
[20] Hörmander L., “Fourier integral operators, 1”, Acta Math., 127 (1971), 79–183 | DOI | MR | Zbl
[21] Ivrii V. Ja, Precise spectral asymptotics for elliptic operators, Lecture Notes in Math., 1100, 1984 | MR | Zbl