Geodesic
On the completeness of the set of eigen- and associated functions of a waveguide
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 11, pp. 1891-1899 
A. N. Bogolyubov; A. L. Delitsyn; A. G. Sveshnikov. On the completeness of the set of eigen- and associated functions of a waveguide. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 11, pp. 1891-1899. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_11_a10/
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     title = {On the completeness of the set of eigen- and associated functions of a waveguide},
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Ilinskii A. S., Shestopalov Yu. V., Primenenie metodov spektralnoi teorii v zadachakh rasprostraneniya voln, Izd-vo MGU, M., 1989

[2] Smirnov Yu. G., “Metod operatornykh puchkov v kraevykh zadachakh sopryazheniya dlya sistemy ellipticheskikh uravnenii”, Differents. ur-niya, 27:1 (1991), 140–147 | MR | Zbl

[3] Krasnushkin P. E., Moiseev E. I., “O vozbuzhdenii vynuzhdennykh kolebanii v sloistom radiovolnovode”, Dokl. AN SSSR, 264:5 (1982), 1123–1127 | MR

[4] Ilinskii A. S., Slepyan G. Ya., Kolebaniya i volny v elektrodinamicheskikh sistemakh s poteryami, Izd-vo MGU, M., 1973

[5] Gokhberg I. Ts., Krein M. G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov, Nauka, M., 1965

[6] Zilbergleit A. S., Kopilevich Yu. I., Spektralnaya teoriya volnovodov, Fiz.-tekhn. in-t, L., 1983

[7] Keldysh M. V., “O sobstvennykh znacheniyakh i sobstvennykh funktsiyakh nekotorykh klassov nesamosopryazhennykh uravnenii”, Dokl. AN SSSR, 87 (1951), 11–14