On the mathematical works of M.\,Sh.~Birman

M. Z. Solomyak ; T. A. Suslina ; D. R. Yafaev

Algebra i analiz, Tome 23 (2011) no. 1, pp. 5-60.

Bibliographie

[1] Birman M. Sh., “Nekotorye otsenki dlya metoda naiskoreishego spuska”, Uspekhi mat. nauk, 5:3 (1950), 152–155 | MR | Zbl

[2] Birman M. Sh, “O vychislenii sobstvennykh chisel metodom naiskoreishego spuska”, Zap. Leningr. gorn. in-ta, 27:1 (1952), 209–216

[3] Birman M. Sh., “Ob odnom variante metoda posledovatelnykh priblizhenii”, Vestn. Leningr. un-ta. Ser. mat., fiz., khim., 1952, no. 9, 69–76

[4] Birman M. Sh., “K teorii samosopryazhennykh rasshirenii polozhitelno opredelennykh operatorov”, Dokl. AN SSSR, 91:2 (1953), 189–191 | MR | Zbl

[5] Birman M. Sh., “K teorii obschikh kraevykh zadach dlya ellipticheskikh differentsialnykh uravnenii”, Dokl. AN SSSR, 92:2 (1953), 205–208 | MR | Zbl

[6] Birman M. Sh., “O minimalnykh funktsionalakh dlya ellipticheskikh differentsialnykh uravnenii vtorogo poryadka”, Dokl. AN SSSR, 93:6 (1953), 953–956 | MR | Zbl

[7] Birman M. Sh., “O spektre singulyarnykh granichnykh zadach dlya ellipticheskikh differentsialnykh uravnenii”, Dokl. AN SSSR, 97:1 (1954), 5–7 | MR | Zbl

[8] Birman M. Sh., “O variatsionnom metode Treffttsa dlya uravneniya $\Delta^2u=f$”, Dokl. AN SSSR, 101:2 (1955), 201–204 | MR | Zbl

[9] Birman M. Sh., “O metode Fridrikhsa – rasshireniya polozhitelno opredelennogo operatora do samosopryazhennogo”, Zap. Leningr. gorn. in-ta, 33:3 (1956), 132–136 | MR

[10] Birman M. Sh., “K teorii samosopryazhennykh rasshirenii polozhitelno opredelennykh operatorov”, Mat. sb., 38(80):4 (1956), 431–450 | MR | Zbl

[11] Birman M. Sh., “Variatsionnye metody resheniya kraevykh zadach, analogichnye metodu Treffttsa”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1956, no. 3, 69–89 | MR | Zbl

[12] Birman M. Sh., “Metod kvadratichnykh form v zadachakh o malom parametre pri starshikh proizvodnykh”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1957, no. 3, 9–12 | MR | Zbl

[13] Birman M. Sh., “Kharakteristika ellipticheskikh differentsialnykh operatorov s maksimalnoi oblastyu opredeleniya”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1957, no. 4, 177–183 | Zbl

[14] Birman M. Sh., “O mnogomernykh kraevykh zadachakh s malym parametrom pri starshikh proizvodnykh”, Uspekhi mat. nauk, 12:6 (1957), 212–213

[15] Birman M. Sh., “Vozmuscheniya kvadratichnykh form i spektr singulyarnykh granichnykh zadach”, Dokl. AN SSSR, 125:3 (1959), 471–474 | MR | Zbl

[16] Birman M. Sh., “O spektre operatorov Shredingera i Diraka”, Dokl. AN SSSR, 129:2 (1959), 239–241 | MR | Zbl

[17] Birman M. Sh., “O diskretnoi chasti spektra operatorov Shredingera i Diraka”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1960, no. 2, 167–168 | Zbl

[18] Birman M. Sh., Pavlov B. S., “O polnoi nepreryvnosti nekotorykh operatorov vlozheniya”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1961, no. 1, 61–74 | MR | Zbl

[19] Birman M. Sh., “O spektre singulyarnykh granichnykh zadach”, Mat. sb., 55(97):2 (1961), 125–174 | MR | Zbl

[20] Birman M. Sh., “O vozmuschenii spektra singulyarnogo ellipticheskogo operatora pri izmenenii granitsy i granichnykh uslovii”, Dokl. AN SSSR, 137:4 (1961), 761–763 | MR | Zbl

[21] Birman M. Sh., “O chisle sobstvennykh znachenii v zadache kvantovogo rasseyaniya”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1961, no. 3, 163–166 | MR

[22] Birman M. Sh., “Vozmuscheniya nepreryvnogo spektra singulyarnogo ellipticheskogo operatora pri izmenenii granitsy i granichnykh uslovii”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1962, no. 1, 22–55 | MR | Zbl

[23] Birman M. Sh., “Ob usloviyakh suschestvovaniya volnovykh operatorov”, Dokl. AN SSSR, 143:3 (1962), 506–509 | MR | Zbl

[24] Birman M. Sh., Krein M. G., “K teorii volnovykh operatorov i operatorov rasseyaniya”, Dokl. AN SSSR, 144:3 (1962), 475–478 | MR | Zbl

[25] Birman M. Sh., Skvortsov G. E., “O kvadratichnoi summiruemosti starshikh proizvodnykh resheniya zadachi Dirikhle v oblasti s kusochno-gladkoi granitsei”, Izv. vuzov. Mat., 1962, no. 5, 12–21 | MR | Zbl

[26] Birman M. Sh., “Ob odnom priznake suschestvovaniya volnovykh operatorov”, Dokl. AN SSSR, 147:5 (1962), 1008–1009 | MR | Zbl

[27] Birman M. Sh., “Ob usloviyakh suschestvovaniya volnovykh operatorov”, Izv. AN SSSR. Ser. mat., 27:4 (1963), 883–906 | MR | Zbl

[28] Birman M. Sh., Krein M. G., “Some topics of the theory of the wave and scattering operators”, 1963 Outlines Joint Sympos. Partial Differential Equations (Novosibirsk, 1963), Acad. Sci. USSR Siberian Branch, Moscow, 1963, 39–45 | MR

[29] Birman M. Sh., Glazman I. M.,, “Spektry singulyarnykh differentsialnykh operatorov”, Trudy chetvertogo Vsesoyuznogo matematicheskogo s'ezda (Leningrad, 1961), v. 2, Nauka, L., 1964, 253–261 | MR

[30] Birman M. Sh., Entina S. B., “O statsionarnom podkhode v abstraktnoi teorii rasseyaniya”, Dokl. AN SSSR, 155:3 (1964), 506–508 | MR | Zbl

[31] Birman M. Sh., “Lokalnyi priznak suschestvovaniya volnovykh operatorov”, Dokl. AN SSSR, 159:3 (1964), 485–488 | MR | Zbl

[32] Birman M. Sh., Solomyak M. Z., “O dvoinykh operatornykh integralakh Stiltesa”, Dokl. AN SSSR, 165:6 (1965), 1223–1226 | MR | Zbl

[33] Birman M. Sh., Solomyak M. Z., “Dvoinye operatornye integraly Stiltesa”, Probl. mat. fiz., 1, LGU, L., 1966, 33–67 | MR

[34] Birman M. Sh., Solomyak M. Z., “O priblizhenii funktsii klassov $W_p^\alpha$ kusochno-polinomialnymi funktsiyami”, Dokl. AN SSSR, 171:5 (1966), 1015–1018 | MR | Zbl

[35] Birman M. Sh., Solomyak M. Z., “Dvoinye operatornye integraly Stiltesa i zadachi o mnozhitelyakh”, Dokl. AN SSSR, 171:6 (1966), 1251–1254 | MR | Zbl

[36] Birman M. Sh., Entina S. B., “Statsionarnyi podkhod v abstraktnoi teorii rasseyaniya”, Izv. AN SSSR. Ser. mat., 31:2 (1967), 401–430 | MR | Zbl

[37] Birman M. Sh., Solomyak M. Z., “Dvoinye operatornye integraly Stiltesa, II”, Probl. mat. fiz., 2, LGU, L., 1967, 26–60 | MR

[38] Birman M. Sh., Solomyak M. Z., “Kusochno-polinomialnye priblizheniya funktsii klassov $W_p^\alpha$”, Mat. sb., 73(115):3 (1967), 331–355 | MR | Zbl

[39] Birman M. Sh., Solomyak M. Z., “Ob otsenkakh singulyarnykh chisel integralnykh operatorov, I”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1967, no. 2, 43–53 | MR | Zbl

[40] Birman M. Sh., Solomyak M. Z., “Ob otsenkakh singulyarnykh chisel integralnykh operatorov, II”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1967, no. 3, 21–28 | MR | Zbl

[41] Birman M. Sh., “Lokalnyi priznak suschestvovaniya volnovykh operatorov”, Izv. AN SSSR. Ser. mat., 32:4 (1968), 914–942 | MR | Zbl

[42] Belopolskii A. L., Birman M. Sh., “Suschestvovanie volnovykh operatorov v teorii rasseyaniya dlya pary prostranstv”, Izv. AN SSSR. Ser. mat., 32:5 (1968), 1162–1175 | MR | Zbl

[43] Birman M. Sh., Solomyak M. Z., “Ob otsenkakh singulyarnykh chisel integralnykh operatorov. III. Operatory v neogranichennykh oblastyakh”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1969, no. 1, 35–48 | MR | Zbl

[44] Birman M. Sh., “Nekotorye prilozheniya lokalnogo priznaka suschestvovaniya volnovykh operatorov”, Dokl. AN SSSR, 185:4 (1969), 735–738 | MR | Zbl

[45] Birman M. Sh., Solomyak M. Z., “Zamechaniya o yadernosti integralnykh operatorov i ob ogranichennosti psevdodifferentsialnykh operatorov”, Izv. vuzov. Mat., 1969, no. 9, 11–17 | MR | Zbl

[46] Birman M. Sh., “Zadachi rasseyaniya dlya differentsialnykh operatorov s postoyannymi koeffitsientami”, Funkts. anal. i ego pril., 3:3 (1969), 1–16 | MR | Zbl

[47] Birman M. Sh., “Priznak suschestvovaniya polnykh volnovykh operatorov v teorii rasseyaniya dlya pary prostranstv”, Probl. mat. fiz., 4, LGU, L., 1970, 22–26

[48] Birman M. Sh., Solomyak M. Z., “Asimptotika spektra slabo polyarnykh integralnykh operatorov”, Izv. AN SSSR. Ser. mat., 34:5 (1970), 1142–1158 | MR | Zbl

[49] Birman M. Sh., Solomyak M. Z., “O glavnom chlene spektralnoi asimptotiki dlya “negladkikh” ellipticheskikh zadach”, Funkts. anal. i ego pril., 4:4 (1970), 1–13 | MR | Zbl

[50] Birman M. Sh., Solomyak M. Z., “K dokazatelstvu teoremy ob asimptotike spektra veschestvennoi komponenty volterrova operatora s yadernoi mnimoi komponentoi”, Mat. issled., 5:4 (1970), 16–25 | MR | Zbl

[51] Birman M. Sh., “Raboty po spektralnoi teorii differentsialnykh operatorov”, Matematika v Peterburgskom–Leningradskom universitete, LGU, L., 1970, 129–133

[52] Birman M. Sh., “Zadachi rasseyaniya dlya differentsialnykh operatorov pri vozmuschenii prostranstva”, Izv. AN SSSR. Ser. mat., 35:2 (1971), 440–455 | MR | Zbl

[53] Birman M. Sh., Solomyak M. Z., “Ob asimptotike spektra “negladkikh” ellipticheskikh uravnenii”, Funkts. anal. i ego pril., 5:1 (1971), 69–70 | MR | Zbl

[54] Birman M. Sh., Borzov V. V., “Ob asimptotike diskretnogo spektra nekotorykh singulyarnykh differentsialnykh operatorov”, Probl. mat. fiz., 5, LGU, L., 1971, 24–38 | MR

[55] Birman M. Sh., Solomyak M.Z., “Zamechaniya o funktsii spektralnogo sdviga”, Zap. nauch. semin. LOMI, 27, 1972, 33–46 | MR | Zbl

[56] Birman M. Sh., Solomyak M. Z., “Spektralnaya asimptotika negladkikh ellipticheskikh operatorov”, Dokl. AN SSSR, 205:2 (1972), 267–270 | MR | Zbl

[57] Birman M. Sh., Solomyak M. Z., “Spektralnaya asimptotika negladkikh ellipticheskikh operatorov, I”, Tr. Mosk. mat. o-va, 27, 1972, 3–52 | MR | Zbl

[58] Babich V. M., Birman M. Sh., Smirnov V. I., Solomyak M. Z., Uraltseva N. N., “Olga Aleksandrovna Ladyzhenskaya (k pyatidesyatiletiyu so dnya rozhdeniya)”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1972, no. 2, 159–160 | Zbl

[59] Birman M. Sh., Solomyak M. Z., “Dvoinye operatornye integraly Stiltesa. III. Predelnyi perekhod pod znakom integrala”, Probl. mat. fiz., 6, LGU, L., 1973, 27–53 | MR

[60] Birman M. Sh., Solomyak M. Z., “Spektralnaya asimptotika negladkikh ellipticheskikh operatorov, II”, Tr. Mosk. mat. o-va, 28, 1973, 3–34 | Zbl

[61] Birman M. Sh., Solomyak M. Z., “Ob ekvivalentnykh perenormirovkakh klassov $W_p^r$ pri razbieniyakh oblasti”, Izv. vuzov. Mat., 1973, no. 3, 19–27 | MR | Zbl

[62] Birman M. Sh., Solomyak M. Z., “Kolichestvennyi analiz v teoremakh vlozheniya Soboleva i prilozheniya k spektralnoi teorii”, Desyataya letnyaya matematicheskaya shkola (Katsiveli–Nalchik, 1972), In-t mat. AN Ukr. SSR, Kiev, 1974, 5–189 | MR

[63] Birman M. Sh., Solomyak M. Z., “Ob odnoi “modelnoi” neellipticheskoi spektralnoi zadache”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1975, no. 1, Sbornik statei, posvyaschennykh pamyati akademika V. I. Smirnova, 39–45 | MR | Zbl

[64] Birman M. Sh., Koplienko L. S., Solomyak M. Z., “Otsenki spektra raznosti drobnykh stepenei samosopryazhennykh operatorov”, Izv. vuzov. Mat., 1975, no. 3, 3–10 | MR | Zbl

[65] Alekseev A. B., Birman M. Sh., “Asimptotika spektra ellipticheskikh granichnykh zadach s razreshimymi svyazyami”, Dokl. AN SSSR, 230:3 (1976), 505–507 | MR | Zbl

[66] Alekseev A. B., Birman M. Sh., “Variatsionnaya postanovka zadachi o kolebaniyakh rezonatora, zapolnennogo anizotropnoi sloistoi sredoi”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1977, no. 2, 9–15 | MR | Zbl

[67] Birman M. Sh., Solomyak M. Z., “Asimptotika spektra psevdodifferentsialnykh operatorov s anizotropno-odnorodnymi simvolami”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1977, no. 3, 13–21 | MR | Zbl

[68] Birman M. Sh., Solomyak M. Z., “Primenenie interpolyatsionnykh metodov k otsenkam spektra integralnykh operatorov”, Teoriya operatorov v funktsionalnykh prostranstvakh, Nauka, Sib. otd., Novosibirsk, 1977, 42–70 | MR

[69] Birman M. Sh., Solomyak M. Z., “Otsenki singulyarnykh chisel integralnykh operatorov”, Uspekhi mat. nauk, 32:1 (1977), 17–84 | MR | Zbl

[70] Alekseev A. B., Birman M. Sh., “Asimptotika diskretnogo spektra v ellipticheskikh zadachakh s razreshimymi differentsialnymi svyazyami”, Uspekhi mat. nauk, 32:1 (1977), 232–233

[71] Birman M. Sh., Solomyak M. Z., “Asimptotika spektra differentsialnykh uravnenii”, Itogi nauki i tekhn. Mat. anal., 14, VINITI AN SSSR, M., 1977, 5–58 | MR | Zbl

[72] Birman M. Sh., Solomyak M. Z., “Ob asimptotike spektra ellipticheskikh variatsionnykh zadach s differentsialnymi svyazyami”, Trudy Vsesoyuznoi konferentsii po uravneniyam s chastnymi proizvodnymi, posvyaschennoi 75-letiyu akad. Petrovskogo, MGU, M., 1978, 51–52

[73] Birman M. Sh., Solomyak M. Z., “Asimptotika spektra psevdodifferentsialnykh operatorov s anizotropno-odnorodnymi simvolami, II”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1979, no. 3, 5–10 | MR | Zbl

[74] Birman M. Sh., Vershik A. M., Solomyak M. Z., “Proizvedenie perestanovochnykh spektralnykh mer mozhet ne byt schetno-additivnym”, Funkts. anal. i ego pril., 13:1 (1979), 61–62 | MR | Zbl

[75] Birman M. Sh., Solomyak M. Z., “Asimptotika spektra variatsionnykh zadach na resheniyakh ellipticheskikh uravnenii”, Sib. mat. zh., 20:1 (1979), 3–22 | MR | Zbl

[76] Birman M. Sh., Solomyak M. Z., “Ob asimptotike spektra variatsionnykh zadach na resheniyakh ellipticheskikh uravnenii”, Differentsialnye uravneniya s chastnymi proizvodnymi, Trudy konf. (Novosibirsk, 1978), Nauka, Sib. otd., Novosibirsk, 1980, 221–223 | MR

[77] Birman M. Sh., Solomyak M. Z., “Asimptotika spektra variatsionnykh zadach na resheniyakh ellipticheskikh uravnenii v neogranichennykh oblastyakh”, Funkts. anal. i ego pril., 14:4 (1980), 27–35 | MR | Zbl

[78] Birman M. Sh., Yafaev D. R., “Asimptotika spektra $s$-matritsy pri potentsialnom rasseyanii”, Dokl. AN SSSR, 255:5 (1980), 1085–1087 | MR

[79] Birman M. Sh., “O kvaziklassicheskoi spektralnoi asimptotike odnogo klassa integralnykh operatorov”, Zap. nauch. semin. LOMI, 98, 1980, 22–32 | MR | Zbl

[80] Birman M. Sh., Yafaev D. R., “Asimptotika spektra matritsy rasseyaniya”, Zap. nauch. semin. LOMI, 110, 1981, 3–29 | MR | Zbl

[81] Birman M. Sh., Yafaev D. R., “Asimptotika predelnykh faz pri rasseyanii na potentsiale bez sfericheskoi simmetrii”, Teor. i mat. fiz., 51:1 (1982), 44–53 | MR

[82] Birman M. Sh., Solomyak M. Z., “Asimptotika spektra variatsionnykh zadach na resheniyakh ellipticheskikh sistem”, Zap. nauch. semin. LOMI, 115, 1982, 23–39 | MR | Zbl

[83] Birman M. Sh., Solomyak M. Z., “Asimptotika spektra psevdodifferentsialnykh variatsionnykh zadach so svyazyami”, Probl. mat. fiz., 10, LGU, L., 1982, 20–36 | MR

[84] Birman M. Sh., Solomyak M. Z., “O podprostranstvakh, dopuskayuschikh psevdodifferentsialnyi proektor”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1982, no. 1, 18–25 | MR | Zbl

[85] Birman M. Sh., Solomyak M. Z., “Kompaktnye operatory so stepennoi asimptotikoi singulyarnykh chisel”, Zap. nauch. semin. LOMI, 126, 1983, 21–30 | MR | Zbl

[86] Birman M. Sh., “Re-expansion operators as objects of spectral analysis”, Linear and Complex Analysis Problem Book. 199 Research Problems, Lecture Notes in Math., 1043, Springer-Verlag, Berlin, 1984, 130–134

[87] Birman M. Sh., Solomyak M. Z., “Some problems on compact operators with power-like behaviour of singular numbers”, Linear and Complex Analysis Problem Book. 199 Research Problems, Lecture Notes in Math., 1043, Springer-Verlag, Berlin, 1984, 217–218

[88] Birman M. Sh., “Ob operatore Maksvella v oblastyakh s rebrami”, Zap. nauch. semin. LOMI, 147, 1985, 3–9 | MR

[89] Birman M. Sh., “Operator Maksvella dlya rezonatora s vkhodyaschimi rebrami”, Vestn. Leningr. un-ta. Ser. 1, 1986, no. 3, 3–8 | MR | Zbl

[90] Birman M. Sh., Solomyak M. Z., “Operator Maksvella v oblastyakh s negladkoi granitsei”, Sib. mat. zh., 28:1 (1987), 23–36 | MR | Zbl

[91] Birman M. Sh., Solomyak M. Z., “Veilevskaya asimptotika spektra operatora Maksvella dlya oblastei s lipshitsevoi granitsei”, Vestn. Leningr. un-ta. Ser. 1, 1987, no. 3, 23–28 | MR | Zbl

[92] Birman M. Sh., Solomyak M. Z., “Postroenie v kusochno-gladkoi oblasti funktsii klassa $H^2$ po znacheniyu konormalnoi proizvodnoi”, Zap. nauch. semin. LOMI, 163, 1987, 17–28 | MR | Zbl

[93] Birman M. Sh., Solomyak M. Z., “$L_2$-teoriya operatora Maksvella v proizvolnykh oblastyakh”, Uspekhi mat. nauk, 42:6 (1987), 61–76 | MR | Zbl

[94] Birman M. Sh., Yafaev D. R., “Obschaya skhema v statsionarnoi teorii rasseyaniya”, Probl. mat. fiz., 12, LGU, L., 1987, 89–117 | MR

[95] Birman M. Sh., “Operator Maksvella dlya periodicheskogo rezonatora s vkhodyaschimi rebrami”, Tr. Mat. in-ta AN SSSR, 179, 1988, 23–35 | MR | Zbl

[96] Birman M. Sh., Solomyak M. Z., “The $L_2$-theory of the Maxwell operator in domains with nonsmooth boundary”, Symposium “Partial Differential Equations” (Holzhau, 1988), Teubner-Texte Math., 112, Teubner, Leipzig, 1989, 33–41 | MR | Zbl

[97] Birman M. Sh., Solomyak M. Z., “Samosopryazhennyi operator Maksvella v proizvolnykh oblastyakh”, Algebra i analiz, 1:1 (1989), 96–110 | MR | Zbl

[98] Birman M. Sh., Solomyak M. Z., “Interpolation estimates for the number of negative eigenvalues of a Schrödinger operator”, Schrödinger Operators, Standard and Nonstandard (Dubna, 1988), World Sci. Publishing, Teaneck, NJ, 1989, 2–18 | MR

[99] Birman M. Sh., Yafaev D.R., “O yadernom metode v teorii potentsialnogo rasseyaniya”, Zap. nauch. semin. LOMI, 171, 1989, 12–35 | MR | Zbl

[100] Birman M. Sh., Solomyak M. Z., “Operatornoe integrirovanie, vozmuscheniya i kommutatory”, Zap. nauch. semin. LOMI, 170, 1989, 34–66 | MR | Zbl

[101] Birman M. Sh., Solomyak M. Z., “Otsenki raznosti drobnykh stepenei samosopryazhennykh operatorov pri neogranichennykh vozmuscheniyakh”, Zap. nauch. semin. LOMI, 178, 1989, 120–145 | MR | Zbl

[102] Birman M. Sh., Solomyak M. Z., “Negative discrete spectrum of the Schrödinger operator with large coupling constant: a qualitative discussion”, Order, Disorder and Chaos in Quantum Systems (Dubna, 1989), Oper. Theory Adv. Appl., 46, Birkhäuser, Basel, 1990, 3–16 | MR

[103] Birman M. Sh., “Discrete spectrum in the gaps of the continuous one in the large-coupling-constant limit”, Order, Disorder and Chaos in Quantum Systems (Dubna, 1989), Oper. Theory Adv. Appl., 46, Birkhäuser, Basel, 1990, 17–25 | MR

[104] Birman M. Sh., Solomyak M. Z., “The estimates for the number of negative bound states of the Schrödinger operator for large coupling constants”, Integral Equations and Inverse Problems (Varna, 1989), Pitman Res. Notes Math. Ser., 235, Longman Sci. Tech., Harlow, 1991, 49–57 | MR

[105] Birman M. Sh., Krein S. G., Ladyzhenskaya O. A., Rozenblyum G. V., Safarov Yu. G., “Mikhail Zakharovich Solomyak (k shestidesyatiletiyu so dnya rozhdeniya)”, Uspekhi mat. nauk, 46:4 (1991), 183–184 | MR

[106] Birman M. Sh., “O diskretnom spektre v lakunakh vozmuschennogo periodicheskogo operatora vtorogo poryadka”, Funkts. anal. i ego pril., 25:2 (1991), 89–92 | MR | Zbl

[107] Birman M. Sh., “Discrete spectrum in a gap of perturbed periodic operator at large coupling constants”, Rigorous Results in Quantum Dynamics (Liblice, 1990), World Sci. Publishing, River Edge, NJ, 1991, 16–24 | MR

[108] Birman M. Sh., Solomyak M. Z., “Discrete negative spectrum under nonregular perturbations (polyharmonic operators, Schrödinger operators with a magnetic field, periodic operators)”, Rigorous Results in Quantum Dynamics (Liblice, 1990), World Sci. Publishing, River Edge, NJ, 1991, 25–36 | MR

[109] Birman M. Sh., Solomyak M. Z., “Estimates for the number of negative eigenvalues of the Schrödinger operator and its generalizations”, Estimates and Asymptotics for Discrete Spectra of Integral and Differential Equations (Leningrad, 1989–1990), Adv. Soviet Math., 7, Amer. Math. Soc., Providence, RI, 1991, 1–55 | MR

[110] Birman M. Sh., “Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant”, Estimates and Asymptotics for Discrete Spectra of Integral and Differential Equations (Leningrad, 1989–1990), Adv. Soviet Math., 7, Amer. Math. Soc., Providence, RI, 1991, 57–73 | MR

[111] Birman M. Sh., Raikov G. D., “Discrete spectrum in the gaps for perturbations of the magnetic Schrödinger operator”, Estimates and Asymptotics for Discrete Spectra of Integral and Differential Equations (Leningrad, 1989–1990), Adv. Soviet Math., 7, Amer. Math. Soc., Providence, RI, 1991, 75–84 | MR

[112] Birman M. Sh., Karadzhov G. E., Solomyak M. Z., “Boundedness conditions and spectrum estimates for the operators $b(X)a(D)$ and their analogs”, Estimates and Asymptotics for Discrete Spectra of Integral and Differential Equations (Leningrad, 1989–1990), Adv. Soviet Math., 7, Amer. Math. Soc., Providence, RI, 1991, 85–106 | MR

[113] Birman M. Sh., Solomyak M. Z., “Schrödinger operator. Estimates for number of bound states as function-theoretical problem”, Spectral Theory of Operators (Novgorod, 1989), Amer. Math. Soc. Transl. Ser. 2, 150, Amer. Math. Soc., Providence, RI, 1992, 1–54 | MR

[114] Birman M. Sh., “Tri zadachi teorii sploshnykh sred v mnogogrannikakh”, Zap. nauch. semin. LOMI, 200, 1992, 27–37 | Zbl

[115] Birman M. Sh., Yafaev D. R., “Funktsiya spektralnogo sdviga. Raboty M. G. Kreina i ikh dalneishee razvitie”, Algebra i analiz, 4:5 (1992), 1–44 | MR | Zbl

[116] Birman M. Sh., Yafaev D. R., “Spektralnye svoistva matritsy rasseyaniya”, Algebra i analiz, 4:6 (1992), 1–27 | MR | Zbl

[117] Birman M. Sh., Solomyak M. Z., “Glavnye osobennosti elektricheskoi sostavlyayuschei elektromagnitnogo polya v oblastyakh s ekranami”, Algebra i analiz, 5:1 (1993), 143–159 | MR | Zbl

[118] Birman M. Sh., “Discrete spectrum of the periodic Schrödinger operator for non-negative perturbations”, Mathematical Results in Quantum Mechanics (Blossin, 1993), Oper. Theory Adv. Appl., 70, Birkhäuser, Basel, 1994, 3–7 | MR | Zbl

[119] Birman M. Sh., Weidl T., “The discrete spectrum in a gap of the continuous one for compact supported perturbations”, Mathematical Results in Quantum Mechanics (Blossin, 1993), Oper. Theory Adv. Appl., 70, Birkhäuser, Basel, 1994, 9–12 | MR | Zbl

[120] Birman M. Sh., Laptev A., “Discrete spectrum of the perturbed Dirac operator”, Mathematical Results in Quantum Mechanics (Blossin, 1993), Oper. Theory Adv. Appl., 70, Birkhäuser, Basel, 1994, 55–59 | MR | Zbl

[121] Birman M. Sh., Yafaev D. R., “Matritsa rasseyaniya pri vozmuschenii periodicheskogo operatora Shredingera ubyvayuschim potentsialom”, Algebra i analiz, 6:3 (1994), 17–39 | MR | Zbl

[122] Birman M. Sh., “Discrete spectrum of the periodic elliptic operator with a differential perturbation”, Journées “Équations aux Dérivées Partielles” (Saint-Jean-de-Monts, 1994), École Polytech., Palaiseau, 1994, Exp. No. XIV, 4 pp. | MR

[123] Birman M. Sh., Laptev A., “Discrete spectrum of the perturbed Dirac operator”, Ark. Mat., 32:1 (1994), 13–32 | DOI | MR | Zbl

[124] Birman M. Sh., “Ilya Bakelman in Russia. A tribute to Ilya Bakelman” (College Station, TX, 1993), Discourses Math. Appl., 3, Texas A and M Univ., College Station, TX, 1994, 2–4 | MR | Zbl

[125] Arnold V. I., Birman M. Sh., Gelfand I. M., i dr., “Anatolii Moiseevich Vershik (k shestidesyatiletiyu so dnya rozhdeniya)”, Uspekhi mat. nauk, 49:3 (1994), 195–204 | MR

[126] Birman M. Sh., “Spectral shift function and double operator integrals”, Linear and Complex Analysis, Problem book 3, Part I, Lecture Notes in Math., 1573, Springer-Verlag, Berlin, 1994, 272–273

[127] Birman M. Sh., “The discrete spectrum in gaps of the perturbed periodic Schrödinger operator. I. Regular perturbations”, Boundary Value Problems, Schrödinger Operators, Deformation Quantization, Math. Top., 8, Akademie Verlag, Berlin, 1995, 334–352 | MR | Zbl

[128] Birman M. Sh., “Diskretnyi spektr periodicheskogo operatora Shredingera, vozmuschennogo ubyvayuschim potentsialom”, Algebra i analiz, 8:1 (1996), 3–20 | MR | Zbl

[129] Birman M., Solomyak M., “Tensor product of a finite number of spectral measures is always a spectral measure”, Integral Equations Operator Theory, 24:2 (1996), 179–187 | DOI | MR | Zbl

[130] Birman M. Sh., Laptev A., “The negative discrete spectrum of a two-dimensional Schrödinger operator”, Comm. Pure Appl. Math., 49:9 (1996), 967–997 | 3.0.CO;2-5 class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR | Zbl

[131] Birman M. Sh., Suslina T. A., “Dvumernyi periodicheskii magnitnyi gamiltonian absolyutno nepreryven”, Algebra i analiz, 9:1 (1997), 32–48 | MR | Zbl

[132] Birman M. Sh., Laptev A., Solomyak M., “The negative discrete spectrum of the operator $(-\Delta)^l-\alpha V$ in $L_2(\mathbf R^d)$ for $d$ even and $2l\ge d$”, Ark. Mat., 35:1 (1997), 87–126 | DOI | MR | Zbl

[133] Birman M. Sh., Laptev A., ““Non-standard” spectral asymptotics for a two-dimensional Schrödinger operator”, Partial Differential Equations and their Applications (Toronto, ON, 1995), CRM Proc. Lecture Notes, 12, Amer. Math. Soc., Providence, RI, 1997, 9–16 | MR | Zbl

[134] Birman M. Sh., “Diskretnyi spektr v lakunakh vozmuschennogo periodicheskogo operatora Shredingera. II. Neregulyarnye vozmuscheniya”, Algebra i analiz, 9:6 (1997), 62–89 | MR | Zbl

[135] Birman M. Sh., Pushnitskii A. B., “Diskretnyi spektr v lakunakh vozmuschennogo psevdorelyativistskogo magnitnogo gamiltoniana”, Zap. nauch. semin. POMI, 249, 1997, 102–117 | MR | Zbl

[136] Birman M. Sh., Pushnitski A. B., “Spectral shift function, amazing and multifaceted”, Integral Equations Operator Theory, 30:2 (1998), 191–199 | DOI | MR | Zbl

[137] Birman M. Sh., Laptev A., Solomyak M., “On the eigenvalue behaviour for a class of differential operators on semiaxis”, Math. Nachr., 195 (1998), 17–46 | DOI | MR | Zbl

[138] Birman M. Sh., Suslina T. A., “Absolyutnaya nepreryvnost dvumernogo periodicheskogo magnitnogo gamiltoniana s razryvnym vektornym potentsialom”, Algebra i analiz, 10:4 (1998), 1–36 | MR | Zbl

[139] Birman M. Sh., Suslina T. A., “Two-dimensional periodic Pauli operator. The effective masses at the lower edge of the spectrum”, Mathematical Results in Quantum Mechanics (Prague, 1998), Oper. Theory Adv. Appl., 108, Birkhäuser, Basel, 1999, 13–31 | MR | Zbl

[140] Birman M. Sh., Suslina T. A., “The periodic Dirac operator is absolutely continuous”, Integral Equations Operator Theory, 34:4 (1999), 377–395 | DOI | MR | Zbl

[141] Birman M. Sh., Suslina T. A., “Periodicheskii magnitnyi gamiltonian s peremennoi metrikoi. Problema absolyutnoi nepreryvnosti”, Algebra i analiz, 11:2 (1999), 1–40 | MR | Zbl

[142] Birman M. Sh., Suslina T. A., Shterenberg R. G., “Absolyutnaya nepreryvnost dvumernogo operatora Shredingera s delta-potentsialom, sosredotochennym na periodicheskoi sisteme krivykh”, Algebra i analiz, 12:6 (2000), 140–177 | MR | Zbl

[143] Birman M. Sh., Suslina T. A., “On the absolute continuity of the periodic Schrödinger and Dirac operators with magnetic potential”, Differential Equations and Mathematical Physics (Birmingham, AL, 1999), AMS/IP Stud. Adv. Math., 16, Amer. Math. Soc., Providence, RI, 2000, 41–49 | MR | Zbl

[144] Birman M. Sh., Laptev A., Suslina T. A., “Diskretnyi spektr dvumernogo periodicheskogo ellipticheskogo operatora vtorogo poryadka vozmuschennogo ubyvayuschim potentsialom. I. Polubeskonechnaya lakuna”, Algebra i analiz, 12:4 (2000), 36–78 | MR | Zbl

[145] Birman M. Sh., Suslina T. A., “Threshold effects near the lower edge of the spectrum for periodic differential operators of mathematical physics”, Systems, Approximation, Singular Integral Operators, and Related Topics (Bordeaux, 2000), Oper. Theory Adv. Appl., 129, Birkhäuser, Basel, 2001, 71–107 | MR | Zbl

[146] Birman M. Sh., Solomyak M. Z., “On the negative discrete spectrum of a periodic elliptic operator in a waveguide-type domain, perturbed by a decaying potential”, J. Anal. Math., 83 (2001), 337–391 | DOI | MR | Zbl

[147] Amosov B. A., Birman M. Sh., Vishik M. I., i dr., “Mikhail Semenovich Agranovich (k semidesyatiletiyu so dnya rozhdeniya)”, Uspekhi mat. nauk, 56:4 (2001), 163–168 | MR | Zbl

[148] Birman M. Sh., Suslina T. A., “Absolyutnaya nepreryvnost spektra periodicheskogo operatora teorii uprugosti pri postoyannom module sdviga”, Nelineinye zadachi matematicheskoi fiziki i smezhnye voprosy, v chest akad. O. A. Ladyzhenskoi, v. II, Mezhdunar. mat. ser., 2, Tamara Rozhkovskaya, Novosibirsk, 2002, 65–70

[149] Arkhipova A. A., Birman M. Sh., Buslaev V. S. i dr., “K yubileyu Olgi Aleksandrovny Ladyzhenskoi”, Zap. nauch. semin. POMI, 288, 2002, 5–13 | MR | Zbl

[150] Birman M. Sh., “O protsedure usredneniya dlya periodicheskikh operatorov v okrestnosti kraya vnutrennei lakuny”, Algebra i analiz, 15:4 (2003), 61–71 | MR | Zbl

[151] Birman M. Sh., Suslina T. A., “Periodicheskie differentsialnye operatory vtorogo poryadka. Porogovye svoistva i usredneniya”, Algebra i analiz, 15:5 (2003), 1–108 | MR | Zbl

[152] Birman M. Sh., Solomyak M. Z., “Double operator integrals in a Hilbert space”, Integral Equations Operator Theory, 47 (2003), 131–168 | DOI | MR | Zbl

[153] Birman M. Sh., Suslina T. A., “Usrednenie mnogomernogo periodicheskogo ellipticheskogo operatora v okrestnosti kraya vnutrennei lakuny”, Zap. nauch. semin. POMI, 318, 2004, 60–74 | MR | Zbl

[154] Arnold V. I., Birman M. Sh., Vershik A. M. i dr., “Olga Aleksandrovna Ladyzhenskaya”, Uspekhi mat. nauk, 59:3 (2004), 151–152 | MR | Zbl

[155] Birman M. Sh., Suslina T. A., “Porogovye approksimatsii rezolventy faktorizovannogo samosopryazhennogo semeistva s uchetom korrektora”, Algebra i analiz, 17:5 (2005), 69–90 | MR | Zbl

[156] Birman M. Sh., Suslina T. A., “Usrednenie periodicheskikh ellipticheskikh differentsialnykh operatorov s uchetom korrektora”, Algebra i analiz, 17:6 (2005), 1–104 | MR | Zbl

[157] Alekseev A. B., Birman M. Sh., Filonov N. D., “Asimptotika spektra odnoi “negladkoi” variatsionnoi zadachi s razreshimoi svyazyu”, Algebra i analiz, 18:5 (2006), 1–22 | MR | Zbl

[158] Birman M. Sh., Suslina T. A., “Usrednenie periodicheskikh differentsialnykh operatorov s uchetom korrektora. Priblizhenie reshenii v klasse Soboleva $H^1(\mathbb R^d)$”, Algebra i analiz, 18:6 (2006), 1–130 | MR | Zbl

[159] Birman M. Sh., Suslina T. A., “Usrednenie statsionarnoi periodicheskoi sistemy Maksvella v sluchae postoyannoi magnitnoi pronitsaemosti”, Funkts. anal. i ego pril., 41:2 (2007), 3–23 | MR | Zbl

[160] Birman M. Sh., Filonov N. D., “Weyl asymptotics of the spectrum of the Maxwell operator with non-smooth coefficients in Lipschitz domains”, Nonlinear Equations and Spectral Theory, Amer. Math. Soc. Transl. Ser. 2, 220, Amer. Math. Soc., Providence, RI, 2007, 27–44 | MR | Zbl

[161] Birman M. Sh., Suslina T. A., “Operatornye otsenki pogreshnosti pri usrednenii nestatsionarnykh periodicheskikh uravnenii”, Algebra i analiz, 20:6 (2008), 30–107 | MR

[162] Birman M. Sh., Suslina T. A., “Printsip predelnogo pogloscheniya i protsedura usredneniya dlya periodicheskikh ellipticheskikh operatorov”, Funkts. anal. i ego pril., 42:4 (2008), 105–108 | MR | Zbl

[163] Birman M. Sh., Suslina T. A., “Homogenization of periodic differential operators as a spectral threshold effect”, New Trends in Mathematical Physics, Selected Contributions of the XVth International Congress on Mathematical Physics, Springer, Berlin, 2009, 667–683 | Zbl

[164] Birman M. Sh., Slousch V. A., “Dvustoronnie otsenki dlya sleda raznosti pary polugrupp”, Funkts. anal. i ego pril., 43:3 (2009), 26–32 | MR

[165] Birman M. Sh., Sloushch V. A., “Discrete spectrum of the periodic Schrödinger operator with a variable metric perturbed by a nonnegative potential”, Math. Model. Nat. Phenom., 5:4 (2010), 32–53 | DOI | MR | Zbl

[166] Birman M. Sh., Suslina T. A., “The analog of the limiting absorption principle in homogenization of periodic elliptic operators”, Operator Theory and its Applications, In Memory of V. B. Lidskii (1924–2008), Amer. Math. Soc. Transl. Ser. 2, 231, Amer. Math. Soc., Providence, RI, 2010, 35–57 | MR | Zbl

[1] Birman M. Sh., Vilenkin N. Ya., Gorin E. A., Zabreiko P. P., Iokhvidov I. S., Kadets M. I., Kostyuchenko A. G., Krasnoselskii M. A., Krein S. G., Mityagin B. S., Petunin Yu. I., Rutitskii Ya. B., Semenov E. M., Sobolev V. I., Stetsenko V. Ya., Faddeev L. D., Tsitlanadze E. S., Funktsionalnyi analiz, Sprav. mat. b-ka, 2-e izd., ispr. i dop., ed. S. G. Krein, Nauka, M., 1972, 544 pp. | MR

[2] Birman M. Sh., Solomyak M. Z., Spektralnaya teoriya samosopryazhennykh operatorov v gilbertovom prostranstve, LGU, L., 1980, 264 pp. | MR

[3] Birman M. Sh., Solomyak M. Z., Quantitative analysis in Sobolev embedding theorems and applications to spectral theory, Transl. from Russian by F. A. Cezus, Amer. Math. Soc. Transl. Ser. 2, 114, Amer. Math. Soc., Providence, RI, 1980 | MR | Zbl

[4] Birman M. Sh., Solomyak M. Z., Spectral theory of selfadjoint operators in Hilbert space, Transl. from the 1980 Russian original by S. Khrushchev and V. Peller, Math. Appl. (Soviet Series), D. Reidel Publishing Co., Dordrecht, 1987 | MR

[5] Birman M. Sh., Izbrannye trudy. Matematicheskaya teoriya rasseyaniya. Funktsiya spektralnogo sdviga, RKhD, Moskva–Izhevsk, 2010, 502 pp.

[6] Birman M. Sh., Solomyak M. Z., Spektralnaya teoriya samosopryazhennykh operatorov v gilbertovom prostranstve, 2-e izd., ispr. i dop., Lan, SPb., 2010, 464 pp.

[1] Laks Piter D., Fillips Ralf S., Teoriya rasseyaniya, per. s angl. N. K. Nikolskogo i B. S. Pavlova, ed. M. Sh. Birman, Mir, M., 1971, 312 pp. | MR

[2] M. Sh. Birman (red.), Spektralnaya teoriya i volnovye protsessy, Problemy matematicheskoi fiziki, 1, LGU, L., 1966, 133 pp. | MR

[3] M. Sh. Birman (red.), Spektralnaya teoriya. Zadachi difraktsii, Problemy matematicheskoi fiziki, 2, LGU, L., 1967, 158 pp. | MR

[4] M. Sh. Birman (red.), Spektralnaya teoriya, Problemy matematicheskoi fiziki, 3, LGU, L., 1968, 104 pp. | MR

[5] M. Sh. Birman (red.), Spektralnaya teoriya. Volnovye protsessy, Problemy matematicheskoi fiziki, 4, LGU, L., 1970, 135 pp. | MR

[6] M. Sh. Birman (red.), Spektralnaya teoriya, Problemy matematicheskoi fiziki, 5, LGU, L., 1971, 128 pp. | MR

[7] M. Sh. Birman (red.), Teoriya funktsii. Spektralnaya teoriya. Rasprostranenie voln, Problemy matematicheskoi fiziki, 6, LGU, L., 1973, 149 pp. | MR

[8] M. Sh. Birman (red.), Teoriya funktsii. Spektralnaya teoriya. Teoriya rasprostraneniya voln, Problemy matematicheskoi fiziki, 7, LGU, L., 1974, 185 pp. | MR

[9] M. Sh. Birman (red.), Differentsialnye uravneniya. Spektralnaya teoriya. Teoriya rasprostraneniya voln, Problemy matematicheskoi fiziki, 8, LGU, L., 1976, 177 pp. | MR

[10] M. Sh. Birman (red.), Teoriya rasseyaniya. Teoriya kolebanii, Problemy matematicheskoi fiziki, 9, LGU, L., 1979, 188 pp. | MR

[11] M. Sh. Birman (red.), Spektralnaya teoriya. Volnovye protsessy, Problemy matematicheskoi fiziki, 10, LGU, L., 1982, 303 pp. | MR

[12] M. Sh. Birman (red.), Differentsialnye uravneniya. Teoriya rasseyaniya, Problemy matematicheskoi fiziki, 11, LGU, L., 1986, 280 pp. | MR

[13] M. Sh. Birman (red.), Rasprostranenie voln. Teoriya rasseyaniya, Problemy matematicheskoi fiziki, 12, LGU, L., 1987, 260 pp. | MR

[14] M. Sh. Birman (red.), Differentsialnye uravneniya. Spektralnaya teoriya. Rasprostranenie voln, Problemy matematicheskoi fiziki, 13, LGU, L., 1991, 309 pp. | MR

[15] Adv. in Soviet Math., 7, Amer. Math. Soc., Providence, RI, 1991, 204 pp. | MR | Zbl

[16] M. Sh. Birman, S. Gildebrandt, V. A. Solonnikov, N. N. Uraltseva (red.), Nelineinye zadachi matematicheskoi fiziki i smezhnye voprosy, v chest akad. O. A. Ladyzhenskoi, v. I, Mezhdunar. mat. ser., 1, Tamara Rozhkovskaya, Novosibirsk, 2002, 362 pp. | Zbl

[17] M. Sh. Birman, S. Gildebrandt, V. A. Solonnikov, N. N. Uraltseva (red.), Nelineinye zadachi matematicheskoi fiziki i smezhnye voprosy, v chest akad. O. A. Ladyzhenskoi, v. II, Mezhdunar. mat. ser., 2, Tamara Rozhkovskaya, Novosibirsk, 2002, 347 pp. | Zbl

[18] M. Sh. Birman, N. N. Uraltseva (eds.), Nonlinear equations and spectral theory, Amer. Math. Soc. Transl. Ser. 2, 220, Adv. in Math. Sci., 59, Amer. Math. Soc., Providence, RI, 2007, 246 pp. | MR | Zbl