@article{SM_1992_71_1_a12,
author = {I. Yu. Popov},
title = {Extension theory and localization of resonances for domains of trap type},
journal = {Sbornik. Mathematics},
pages = {209--234},
year = {1992},
volume = {71},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1992_71_1_a12/}
}
I. Yu. Popov. Extension theory and localization of resonances for domains of trap type. Sbornik. Mathematics, Tome 71 (1992) no. 1, pp. 209-234. http://geodesic.mathdoc.fr/item/SM_1992_71_1_a12/
[1] Laks P., Fillips R., Teoriya rasseyaniya, Mir, M., 1965
[2] Petras S. V., “O rasscheplenii serii rezonansov na «nefizicheskom» liste”, Funktsion. analiz i ego pril., 9:2 (1975), 89–90 | MR | Zbl
[3] Belorusets V. B., Fikhmanas R. F., “Raschet sobstvennoi chastoty i dobrotnosti rezonatora s malym otverstiem svyazi”, Tekhnika sredstv svyazi. Ser. «Radioizmeritelnaya tekhnika», 1976, no. 3, 8–12
[4] Pavlov B. S., “Teoriya rasshirenii i yavnoreshaemye modeli”, UMN, 42:6 (1987), 99–131 | MR
[5] Pavlov B. S, Faddeev M. D., “O rasseyanii na polnom rezonatore s malym otverstiem”, Zap. nauch. seminarov LOMI, 126, L., 1983, 159–169 | MR | Zbl
[6] Drozdov M. Yu., Popov I. Yu., “Schel nulevoi shiriny i trete kraevoe uslovie”, Vestn. LGU. Ser. 4, 3:18 (1987), 93–95
[7] Mikhlin S. G., Integralnye uravneniya i ikh prilozheniya, GITTL, M.–L., 1949
[8] Kellogg O. D., Foundations of potential theory, Springer, Berlin, 1929 | MR | Zbl
[9] Gotlib V. Yu., “Rasseyanie na kruglom rezonatore s uzkoi schelyu kak zadacha teorii vozmuschenii”, DAN AN SSSR, 287:5 (1986), 1109–1113 | MR
[10] Popov I. Yu., “Obosnovanie modeli schelei nulevoi shiriny dlya zadachi Dirikhle”, Sib. matem. zhurn., 30:2 (1989), 225–230
[11] Mazya V. G., Nazarov S. A., Plamenevskii B. A., “Asimptotika reshenii zadachi Dirikhle v oblasti s vyrezannoi tonkoi trubkoi”, Matem. sb., 116(158) (1981), 187–217 | MR
[12] Zimnev M. M, Popov I. Yu., “Vybor parametrov modeli schelei nulevoi shiriny”, ZhVM i MF, 27:3 (1987), 466–470 | MR | Zbl
[13] Khermander L., Lineinye differentsialnye operatory s chastnymi proizvodnymi, Mir, M., 1965 | MR
[14] Berkhin P. E., “K zadache difraktsii na tonkom ekrane”, Sib. matem. zhurn., 25:1 (1984), 39–52 | MR | Zbl
[15] Khruslov E. Ya., “O rezonansnykh yavleniyakh v odnoi zadache difraktsii”, Teoriya funktsii, funktsionalnyi analiz i ikh prilozh., no. 6, izd-vo KhGU, Kharkov, 1968, 111–129
[16] Voitovich N. N., Katsenelenbaum B. Z., Sivov A. N., Obobschennyi metod sobstvennykh kolebanii v teorii difraktsii, Nauka, M., 1977 | MR | Zbl
[17] Gokhberg I. Ts., Sigal E. I., “Operatornoe obobschenie teoremy o logarifmicheskom vychete i teoremy Rushe”, Matem. sb., 84(126) (1971), 607–629 | Zbl
[18] Pavlov B. S., “Faktorizatsiya matritsy rasseyaniya i seriinaya struktura ee kornei”, Izv. AN SSSR. Ser. matem., 37:1 (1973), 217–246 | Zbl