On the mathematical papers of Mikhail Zakharovich Solomyak

G. V. Rozenblum

Algebra i analiz, Tome 30 (2018) no. 3, pp. 3-29.

Bibliographie

[1] Solomyak M. Z., “O sobstvennykh chislakh i sobstvennykh vektorakh vozmuschënnogo operatora”, Dokl. AN SSSR, 90:1 (1953), 29–32 | Zbl

[2] Solomyak M. Z., “Ob ortogonalnom bazise v prostranstve Banakha”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1957, no. 1, 27–36 | Zbl

[3] Solomyak M. Z., “Primenenie teorii polugrupp k issledovaniyu differentsialnykh uravnenii v prostranstvakh Banakha”, Dokl. AN SSSR, 122:5 (1958), 766–769 | MR | Zbl

[4] Solomyak M. Z., “Analitichnost polugruppy, porozhdennoi ellipticheskim operatorom v prostranstvakh $L_p$”, Dokl. AN SSSR, 127:1 (1959), 37–39 | Zbl

[5] Solomyak M. Z., “O differentsialnykh uravneniyakh v prostranstvakh Banakha”, Izv. vuzov. Mat., 1960, no. 1, 198–209 | MR | Zbl

[6] Solomyak M. Z., “Otsenka normy rezolventy ellipticheskogo operatora v prostranstvakh $L_p$”, Uspekhi mat. nauk, 15:6 (1960), 141–148 | MR | Zbl

[7] Solomyak M. Z., “Ob ellipticheskikh operatorakh na dvumernykh mnogoobraziyakh”, Dokl. AN SSSR, 139:1 (1961), 37–39 | MR | Zbl

[8] Solomyak M. Z., “O prostranstvakh, sopryazhennykh k prostranstvam $W_p^l$ S. L. Soboleva”, Dokl. AN SSSR, 143:6 (1962), 1289–1292 | MR | Zbl

[9] Solomyak M. Z., “O razreshimosti nekotorykh integralnykh tozhdestv”, Uchen. zap. Leningr. gos. ped. in-ta im. A. I. Gertsena, 238 (1962), 141–148 | Zbl

[10] Solomyak M. Z., “O lineinykh ellipticheskikh sistemakh pervogo poryadka”, Dokl. AN SSSR, 150:1 (1963), 48–51 | MR | Zbl

[11] Solomyak M. Z., “O lokalnykh svoistvakh drobnykh stepenei ellipticheskikh operatorov”, Uspekhi mat. nauk, 18:2 (1963), 184–185

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

[13] Solomyak M. Z., “Ob uslovii Ya. B. Lopatinskogo razreshimosti kraevykh zadach”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1965, no. 1, 143–149

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

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

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

[17] 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 | Zbl

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

[19] 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 | Zbl

[20] Solomyak M. Z., Tikhomirov V. M., “O geometricheskikh kharakteristikakh vlozheniya klassov $W_p^\alpha$ v $C$”, Izv. vuzov. Mat., 1967, no. 10, 76–82 | MR | Zbl

[21] Solomyak M. Z., “O transformatorakh, porozhdaemykh dvoinymi operatornymi integralami Stiltesa”, Zap. nauch. semin. LOMI, 5, 1967, 201–231 | MR | Zbl

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

[23] Solomyak M. Z., “O priblizhenii dvoinykh operatornykh integralov Stiltesa integralnymi summami”, Vestnik Leningr. un-ta. Ser. mat., mekh., astronom., 1968, no. 2, 148–149 | Zbl

[24] Solomyak M. Z., “Dvoinye operatornye integraly v koltse $\widehat R$”, Probl. mat. fiz., 3, LGU, L., 1968, 88–102

[25] 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 | Zbl

[26] 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

[27] Solomyak M. Z., Stenkin V. V., “Ob odnom klasse kratnykh operatornykh integralov Stiltesa”, Probl. mat. anal., 2, LGU, L., 1969, 122–134

[28] Solomyak M. Z., “Ob otsenkakh singulyarnykh chisel integralnykh operatorov. IV”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1970, no. 1, 76–87 | Zbl

[29] 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

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

[31] 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

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

[33] Kostometov G. P., Solomyak M. Z., “Ob otsenkakh singulyarnykh chisel integralnykh operatorov so slaboi osobennostyu”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1971, no. 1, 28–39 | MR | Zbl

[34] Kruglov A. A., Solomyak M. Z., “Interpolyatsiya operatorov v prostranstvakh $V_p$”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1971, no. 3, 54–60 | Zbl

[35] 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. 7, 159–160 | Zbl

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

[37] Vulis I. L., Solomyak M. Z., “Spektralnaya asimptotika vyrozhdayuschikhsya ellipticheskikh operatorov”, Dokl. AN SSSR, 207:2 (1972), 262–265 | MR | Zbl

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

[39] Birman M. Sh., Solomyak M. Z., “Spektralnaya asimptotika negladkikh ellipticheskikh operatorov. I,”, Tr. Mos. mat. o-va, 27, 1972, 3–52 ; “II”, Тр. Мос. мат. о-ва, 28, 1973, 3–34 | MR | Zbl | MR | Zbl

[40] Matsaev V. I., Solomyak M. Z., “Ob usloviyakh suschestvovaniya integrala Stiltesa”, Mat. sb., 88(130):4 (1972), 522–535 | MR | Zbl

[41] Vulis I. L., Solomyak M. Z., “Spektralnaya asimptotika vyrozhdayuscheisya zadachi Steklova”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1973, no. 4, 148–150 | MR | Zbl

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

[43] Birman M. Sh., Solomyak M. Z., “Dvoinye operatornye integraly Stiltesa. III. Predelnyi perekhod pod znakom integrala”, Probl. mat. fiz., 9, LGU, L., 1973, 27–53

[44] Vulis I. L., Solomyak M. Z., “Spektralnaya asimptotika vyrozhdayuschikhsya ellipticheskikh operatorov vtorogo poryadka”, Izv. AN SSSR. Ser. mat., 38:6 (1974), 1362–1392 | MR | Zbl

[45] 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

[46] 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, posvyaschennyi pamyati akademika V. I. Smirnova, 39–45 | MR | Zbl

[47] 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

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

[49] 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 | Zbl

[50] 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

[51] 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

[52] 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

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

[54] 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

[55] 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 | Zbl

[56] Birman M. Sh., Solomjak M. Z., Quantitative analysis in Sobolev imbedding theorems and applications to spectral theory, Amer. Math. Soc., Transl. Ser. 2, 114, Amer. Math. Soc., Providence, RI, 1980 | MR | Zbl

[57] Ulare S., Solomyak M. Z., “O prostranstvakh, dvoistvennykh k prostranstvam $\Lambda_\Omega$”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1980, no. 1, 113–115 | MR | Zbl

[58] 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

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

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

[61] Karazeeva N. A., Solomyak M. Z., “Asimptotika spektra kontaktnoi zadachi dlya ellipticheskikh uravnenii vtorogo poryadka”, Probl. mat. anal., 8, LGU, L., 1981, 36–48 | MR

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

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

[64] Karol A. I., Solomyak M. Z., “Ob odnom klasse differentsialnykh operatorov s nestandartnym povedeniem spektra zadachi Dirikhle”, Mat. zametki, 31:5 (1982), 747–751 | MR | Zbl

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

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

[67] Solomyak M. Z., “O proektore Kalderona”, Teoriya operatorov i teoriya funktsii, 1, LGU, L., 1983, 47–55

[68] Solomyak M. Z., “Ob asimptotike spektra operatora Shrëdingera s neregulyarnym odnorodnym potentsialom”, Dokl. AN SSSR, 278:2 (1984), 291–295 | MR | Zbl

[69] 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

[70] Solomyak M. Z., “Asimptotika spektra operatora Shrëdingera s neregulyarnym odnorodnym potentsialom”, Mat. sb., 127(169):1 (1985), 21–39 | MR | Zbl

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

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

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

[74] 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 | Zbl

[75] Birman M. Sh., Solomjak M. Z., Spectral theory of selfadjoint operators in Hilbert space, Math. Appl. (Soviet Ser.), D. Reidel Publishing Co., Dordrecht, 1987 | MR

[76] Buslaev V. S., Gelfand I. M., Ladyzhenskaya O. A., Pavlov B. S., Solomyak M. Z., Faddeev L. D., Yafaev D. R., “Mikhail Shlëmovich Birman (k shestidesyatiletiyu so dnya rozhdeniya)”, Uspekhi mat. nauk, 43:3 (1988), 201–202 | MR

[77] Demyanovich Yu. K., Ilin V. P., Koshelev A. I., Solomyak M. Z., Uraltseva N. N., “Solomon Grigorevich Mikhlin (k vosmidesyatiletiyu so dnya rozhdeniya)”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1988, no. 3, 128–129

[78] Vinogradov S. A., Vladimirov D. A., Gavurin M. K., Ermakov S. M., Makarov B. M., Natanson G. I., Solomyak M. Z., Faddeev D. K., Khavin V. P., “Grigorii Mikhailovich Fikhtengolts (k 100-letiyu so dnya rozhdeniya)”, Vestn. Leningr. un-ta. Ser. mat., mekh., astronom., 1988, no. 3, 3–6

[79] Rozenblyum G. V., Solomyak M. Z., Shubin M. A., “Spektralnaya teoriya differentsialnykh operatorov”, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Fundam. napravleniya, 64, 1989, 5–242 | MR | Zbl

[80] 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. Publ., Teaneck, NJ, 1989, 2–18 | MR

[81] Birman M. Sh., Solomjak 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

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

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

[84] 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

[85] 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

[86] Aleksandrov A. D., Kutateladze S. S., Reshetnyak Yu. G., Rubinshtein G. Sh., Solomyak M. Z., “Viktor Abramovich Zalgaller (k semidesyatiletiyu so dnya rozhdeniya)”, Uspekhi mat. nauk, 46:1 (1991), 215–216 | MR | Zbl

[87] Birman M. Sh., Solomjak 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

[88] 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. Publ., River Edge, NJ, 1991, 25–36 | MR

[89] 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, 1989–90), Adv. Soviet Math., 7, Amer. Math. Soc., Providence, RI, 1991, 1–55 | MR

[90] 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, 1989–90), Adv. Soviet Math., 7, Amer. Math. Soc., Providence, RI, 1991, 85–106 | MR

[91] 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, Soviet Regional Conf., Amer. Math. Soc., Providence, RI, 1992, 1–54 | MR | Zbl

[92] 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

[93] Solomyak M., “A remark on the Hardy inequalities”, Integral Equations Operator Theory, 19:1 (1994), 120–124 | DOI | MR | Zbl

[94] Solomyak M., “Piecewise-polynomial approximation of functions from $H^l((0,1)^d)$, $2l=d$, and applications to the spectral theory of the Schrödinger operator”, Israel J. Math., 86:1–3 (1994), 253–275 | DOI | MR | Zbl

[95] Olevskii V., Solomyak M., “An estimate for Schur multipliers in $S_p$-classes”, Linear Algebra Appl., 208/209 (1994), 57–64 | DOI | MR | Zbl

[96] Solomyak M., Eigenvalue estimates for a class of operators related to self-similar measures, Journees “Equations aux Derivees Partielles” (Saint-Jean-de-Monts, 1994), Exp. No. XI, Ecole Polytech., Palaiseau, 1994, 6 pp. | MR

[97] Newman J., Solomyak M., “Two-sided estimates on singular values for a class of integral operators on the semi-axis”, Integral Equations Operator Theory, 20:3 (1994), 335–349 | DOI | MR | Zbl

[98] Naimark K., Solomyak M., “On the eigenvalue behaviour for a class of operators related to self-similar measures on $R^d$”, C. R. Acad. Sci. Paris Ser. I Math., 319:8 (1994), 837–842 | MR | Zbl

[99] Solomyak M., “Piecewise-polynomial approximation of functions from Sobolev spaces, revisited”, A tribute to Ilya Bakelman (College Station, TX, 1993), Discourses Math. Appl., 3, Texas A M Univ., College Station, TX, 1994, 7–27 | MR | Zbl

[100] Solomyak M., “My recollections of Ilya Bakelman”, A tribute to Ilya Bakelman (College Station, TX, 1993), Discourses Math. Appl., 3, Texas A M Univ., College Station, TX, 1994, 28–30 | MR | Zbl

[101] Arnold V. I., Birman M. Sh., Gelfand I. M., Ibragimov I. A., Kerov S. V., Kirillov A. A., Ladyzhenskaya O. A., Leonov G. A., Lodkin A. A., Novikov S. P., Sinai Ya. G., Solomyak M. Z., Faddeev L. D., “Anatolii Moiseevich Vershik (k shestidesyatiletiyu so dnya rozhdeniya)”, Uspekhi mat. nauk, 49:3 (1994), 195–204 | MR

[102] Solomyak M., “Spectral problems related to the critical exponent in the Sobolev embedding theorem”, Proc. London Math. Soc. (3), 71:1 (1995), 53–75 | DOI | MR | Zbl

[103] Solomyak M., Verbitsky E., “On a spectral problem related to self-similar measures”, Bull. London Math. Soc., 27:3 (1995), 242–248 | DOI | MR | Zbl

[104] Naimark K., Solomyak M., “The eigenvalue behaviour for the boundary value problems related to self-similar measures on $R^d$”, Math. Res. Lett., 2:3 (1995), 279–298 | DOI | MR | Zbl

[105] 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

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

[107] Levin D., Solomyak M., “The Rozenblum–Lieb–Cwikel inequality for Markov generators”, J. Anal. Math., 71 (1997), 173–193 | DOI | MR | Zbl

[108] Solomyak M., “On the negative discrete spectrum of the operator $-\Delta_\mathcal N-\alpha V$ for a class of unbounded domains in $R^d$”, Partial Differential Equations and their Applications (Toronto, ON, 1995), CRM Proc. Lecture Notes, 12, Amer. Math. Soc., Providence, RI, 1997, 283–296 | DOI | MR | Zbl

[109] Rozenblum G., Solomyak M., CLR-estimate revisited: Lieb's approach with no path integrals, Journees “Equations aux Derivees Partielles” (Saint-Jean-de-Monts, 1997), Exp. No. XVI, Ecole Polytech., Palaiseau, 1997, 10 pp. | MR | Zbl

[110] Naimark K., Solomyak M., “Regular and pathological eigenvalue behavior for the equation $-\lambda u''=Vu$ on the semiaxis”, J. Funct. Anal., 151:2 (1997), 504–530 | DOI | MR | Zbl

[111] Rozenblyum G., Solomyak M., “Otsenka TsLR dlya generatorov polozhitelnykh polugrupp i polugrupp, dominiruemykh polozhitelnymi”, Algebra i analiz, 9:6 (1997), 214–236 | MR | Zbl

[112] Rozenblum G., Solomyak M., “On principal eigenvalues for indefinite problems in Euclidean space”, Math. Nachr., 192 (1998), 205–223 | DOI | MR | Zbl

[113] 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

[114] Solomyak M., “On the discrete spectrum of a class of problems involving the Neumann Laplacian in unbounded domains”, Voronezh Winter Math. Schools, Amer. Math. Soc. Transl. Ser. 2, 184, Adv. Math. Sci., 37, Amer. Math. Soc., Providence, RI, 1998, 233–251 | MR | Zbl

[115] Buslaev V., Solomyak M., Yafaev D., “On the scientific work of Mikhail Shlemovich Birman”, Differential Operators and Spectral Theory, Amer. Math. Soc. Transl. Ser. 2, 189, Adv. Math. Sci., 41, Amer. Math. Soc., Providence, RI, 1999, 1–15 | MR | Zbl

[116] Rozenblum G., Solomyak M., “On the number of negative eigenvalues for the two-dimensional magnetic Schrödinger operator”, Differential Operators and Spectral Theory, Amer. Math. Soc. Transl. Ser. 2, 189, Adv. Math. Sci., 41, Amer. Math. Soc., Providence, RI, 1999, 205–217 | MR | Zbl

[117] Naimark K., Solomyak M., “Eigenvalue estimates for the weighted Laplacian on metric trees”, Proc. London Math. Soc. (3), 80:3 (2000), 690–724 | DOI | MR | Zbl

[118] Solomyak M., “Estimates for the approximation numbers of the weighted Riemann–Liouville operator in the spaces $L_p$”, Complex Analysis, Operators, and Related Topics, Oper. Theory Adv. Appl., 113, Birkhäuser, Basel, 2000, 371–383 | MR | Zbl

[119] Buslaev V. S., Vershik A. M., Gelfand I. M., Gindikin S. G., Ladyzhenskaya O. A., Solomyak M. Z., Faddeev L. D., Yafaev D. R., “Mikhail Shlëmovich Birman (k semidesyatiletiyu so dnya rozhdeniya)”, Uspekhi mat. nauk, 55:1 (2000), 204–207 | DOI | MR | Zbl

[120] Solomyak M. Z., “Neskolko slov o Viktore Abramoviche Zalgallere”, Zap. nauch. semin. LOMI, 280, 2001, 22–27 | MR | Zbl

[121] Birman M. Sh., Solomyak M., “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

[122] Naimark K., Solomyak M., “Eigenvalue distribution of some fractal semi-elliptic differential operators: combinatorial approach”, Integral Equations Operator Theory, 40:4 (2001), 495–506 | DOI | MR | Zbl

[123] Naimark K., Solomyak M., “Geometry of Sobolev spaces on regular trees and the Hardy inequalities”, Russ. J. Math. Phys., 8:3 (2001), 322–335 | MR | Zbl

[124] Sobolev A. V., Solomyak M., “Schrödinger operators on homogeneous metric trees: spectrum in gaps”, Rev. Math. Phys., 14:5 (2002), 421–467 | DOI | MR | Zbl

[125] Solomyak M., “On eigenvalue estimates for the weighted Laplacian on metric graphs”, Nonlinear Problems in Mathematical Physics and Related Topics, v. I, Int. Math. Ser. (N.Y.), 1, Kluwer/Plenum, New York, 2002, 327–347 | DOI | MR | Zbl

[126] Solomyak M., “On approximation of functions from Sobolev spaces on metric graphs”, J. Approx. Theory, 121:2 (2003), 199–219 | DOI | MR | Zbl

[127] Solomyak M., “Laplace and Schrödinger operators on regular metric trees: the discrete spectrum case”, Function Spaces, Differential Operators and Nonlinear Analysis (Teistungen, 2001), Birkhäuser, Basel, 2003, 161–181 | DOI | MR | Zbl

[128] Birman M. Sh., Solomyak M., “Double operator integrals in a Hilbert space”, Integral Equations Operator Theory, 47:2 (2003), 131–168 | DOI | MR | Zbl

[129] Solomyak M., “On a differential operator appearing in the theory of irreversible quantum graphs”, Waves Random Media, 14:1, Special section on quantum graphs (2004), 173–185 | MR

[130] Solomyak M., “On the spectrum of the Laplacian on regular metric trees”, Waves Random Media, 14:1, Special section on quantum graphs (2004), 155–171 | MR

[131] Solomyak M. Z., “O diskretnom spektre semeistva differentsialnykh operatorov”, Funkts. analiz i ego pril., 38:3 (2004), 70–78 | DOI | MR | Zbl

[132] Buslaev V. S., Solomyak M. Z., Yafaev D. R., “Mikhail Shlëmovich Birman (k 75-letiyu so dnya rozhdeniya)”, Algebra i analiz, 16:1 (2004), 5–14 | MR | Zbl

[133] Arnold V. I., Birman M. Sh., Vershik A. M., Vishik M. I., Gelfand I. M., Ibragimov I. A., Maslov V. P., Novikov S. P., Serëgin G. A., Sinai Ya. G., Solomyak M. Z., Solonnikov V. A., Uraltseva N. N., Faddeev L. D., “Olga Aleksandrovna Ladyzhenskaya (nekrolog)”, Uspekhi mat. nauk, 59:3 (2004), 151–152 | DOI | MR | Zbl

[134] Evans W. D., Solomyak M., “Smilansky's model of irreversible quantum graphs. I. The absolutely continuous spectrum”, J. Phys. A, 38:21 (2005), 4611–4627 | DOI | MR | Zbl

[135] Evans W. D., Solomyak M., “Smilansky's model of irreversible quantum graphs. II. The point spectrum”, J. Phys. A, 38:35 (2005), 7661–7675 | DOI | MR | Zbl

[136] Naboko S. N., Solomyak M., “On the absolutely continuous spectrum in a model of an irreversible quantum graph”, Proc. London Math. Soc. (3), 92:1 (2006), 251–272 | DOI | MR | Zbl

[137] Solomyak M. Z., “O matematicheskoi modeli neobratimogo kvantovogo grafa”, Algebra i analiz, 17:5 (2005), 190–231 | MR | Zbl

[138] Solomyak M., “On the limiting behaviour of the spectra of a family of differential operators”, J. Phys. A, 39:33 (2006), 10477–10489 | DOI | MR | Zbl

[139] Smilansky U., Solomyak M., “The quantum graph as a limit of a network of physical wires”, Quantum Graphs and their Applications, Contemp. Math., 415, Amer. Math. Soc., Providence, RI, 2006, 283–291 | DOI | MR | Zbl

[140] Rozenblum G., Solomyak M., “On a family of differential operators with the coupling parameter in the boundary condition”, J. Comput. Appl. Math., 208:1 (2007), 57–71 | DOI | MR | Zbl

[141] Friedlander L., Solomyak M., “On the spectrum of narrow periodic waveguides”, Russ. J. Math. Phys., 15:2 (2008), 238–242 | DOI | MR | Zbl

[142] Solomyak M., Suslina T., “On the scientific work of M. Sh. Birman in 1998–2007”, Spectral Theory of Differential Operators, Amer. Math. Soc. Transl. Ser. 2, 225, Adv. Math. Sci., 62, Amer. Math. Soc., Providence, RI, 2008, 1–15 | MR | Zbl

[143] Friedlander L., Solomyak M., “On the spectrum of the Dirichlet Laplacian in a narrow infinite strip”, Spectral Theory of Differential Operators, Amer. Math. Soc. Transl. Ser. 2, 225, Adv. Math. Sci., 62, Amer. Math. Soc., Providence, RI, 2008, 103–116 | MR | Zbl

[144] Rozenblum G., Solomyak M., “Counting Schrödinger boundstates: semiclassics and beyond”, Sobolev Spaces in Mathematics, v. II, Int. Math. Ser. (N.Y.), 9, Springer, New York, 2009, 329–353 | DOI | MR | Zbl

[145] Solomyak M., “Remarks on counting negative eigenvalues of the Schrödinger operator on regular metric trees”, Linear and Complex Analysis, Amer. Math. Soc. Transl. Ser. 2, 226, Adv. Math. Sci., 63, Amer. Math. Soc., Providence, RI, 2009, 165–178 | MR | Zbl

[146] Friedlander L., Solomyak M., “On the spectrum of the Dirichlet Laplacian in a narrow strip”, Israel J. Math., 170 (2009), 337–354 | DOI | MR | Zbl

[147] Rozenblum G., Solomyak M., “On the spectral estimates for the Schrödinger operator on $\mathbb Z^d$, $d\ge3$”, Probl. mat. anal., 41, 2009, 107–126 | MR | Zbl

[148] Solomyak M., Suslina T., Yafaev D., “Obituary: Mikhail Birman, 17.01.1928–2.07.2009”, Math. Model. Nat. Phenom., 5:4 (2010), 1–3 | DOI | MR

[149] Rozenblyum G. V., Solomyak M. Z., “O spektralnykh otsenkakh dlya operatorov tipa Shrëdingera: sluchai maloi lokalnoi razmernosti”, Funkts. anal. i ego pril., 44:4 (2010), 21–33 | DOI | MR | Zbl

[150] Babich V. M., Buslaev V. S., Vershik A. M., Gindikin S. G., Kislyakov S. V., Laptev A. A., Marchenko V. A., Nikolskii N. K., Pastur L. A., Plamenevskii B. A., Solomyak M. Z., Suslina T. A., Uraltseva N. N., Faddeev L. D., Khavin V. P., Yafaev D. R., “Mikhail Shlemovich Birman (nekrolog)”, Uspekhi mat. nauk, 65:3 (2010), 185–190 | DOI | MR | Zbl

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

[152] Rozenblum G., Solomyak M., “Spectral estimates for Schrödinger operators with sparse potentials on graphs”, Probl. mat. anal., 57, 2011, 151–164 | MR | Zbl

[153] Solomyak M. Z., Suslina T. A., Yafaev D. R., “O matematicheskom tvorchestve M. Sh. Birmana”, Algebra i analiz, 23:1 (2011), 5–60 | MR | Zbl

[154] Laptev A., Solomyak M., “On the negative spectrum of the two-dimensional Schrödinger operator with radial potential”, Comm. Math. Phys., 314:1 (2012), 229–241 | DOI | MR | Zbl

[155] Solomyak M., “On a class of spectral problems on the half-line and their applications to multi-dimensional problems”, J. Spectr. Theory, 3:2 (2013), 215–235 | DOI | MR | Zbl

[156] Laptev A., Solomyak M., “On spectral estimates for two-dimensional Schrödinger operators”, J. Spectr. Theory, 3:4 (2013), 505–515 | DOI | MR | Zbl

[157] Rozenblum G., Solomyak M., “On spectral estimates for the Schrödinger operators in global dimension 2”, Algebra i analiz, 25:3 (2013), 185–199 | MR | Zbl

[158] Moroz V., Solomyak M., Truman A., “Vitali Liskevich”, Proc. Edinb. Math. Soc. (2), 57:2 (2014), 573–574 | DOI | MR | Zbl