Birman M. Sh., “Ob usloviyakh suschestvovaniya volnovykh operatorov”, Izv. AN SSSR. Ser. matem., 27:4 (1963), 883–906
Birman M. Sh., Solomyak M. Z., “Kolichestvennyi analiz v teoremakh vlozheniya Soboleva i prilozheniya k spektralnoi teorii”, Trudy X letnei matematicheskoi shkoly, In-t matematiki AN Ukrain. SSR, Kiev, 1974, 5–189
Birman M. Sh., Solomyak M. Z., “$L_2$-teoriya operatora Maksvella v proizvolnykh oblastyakh”, UMN, 42:6 (1987), 61–76
Birman M. Sh., Suslina T. A., “Threshold effects near the lower edge of the spectrum for periodic differential operators of mathematical physics”, Operator Theory: Advances and Applications, 129 (2001), 71–107
M. Sh. Birman, “A simple embedding theorem for the kernels of integral trace-class operators on $L^2(\mathbb R^m)$. An application to the Fredholm trace formula”, Algebra i Analiz, 27:2 (2015), 211–217; St. Petersburg Math. J., 27:2 (2016), 327–331
M. Sh. Birman, V. A. Sloushch, “Two-Sided Estimates for the Trace of the Difference of Two Semigroups”, Funktsional. Anal. i Prilozhen., 43:3 (2009), 26–32; Funct. Anal. Appl., 43:3 (2009), 184–189
M. Sh. Birman, T. A. Suslina, “Operator error estimates in the homogenization problem for nonstationary periodic equations”, Algebra i Analiz, 20:6 (2008), 30–107; St. Petersburg Math. J., 20:6 (2009), 873–928
M. S. Birman, T. A. Suslina, “The Limit Absorption Principle and Homogenization Procedure for Periodic Elliptic Operators”, Funktsional. Anal. i Prilozhen., 42:4 (2008), 105–108; Funct. Anal. Appl., 42:4 (2008), 336–339
M. Sh. Birman, T. A. Suslina, “Homogenization of the Stationary Periodic Maxwell System in the Case of Constant Permeability”, Funktsional. Anal. i Prilozhen., 41:2 (2007), 3–23; Funct. Anal. Appl., 41:2 (2007), 81–98
M. Sh. Birman, T. A. Suslina, “Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1(\mathbb R^d)$”, Algebra i Analiz, 18:6 (2006), 1–130; St. Petersburg Math. J., 18:6 (2007), 857–955
A. B. Alekseev, M. Sh. Birman, N. D. Filonov, “Spectrum asymptotics for one “nonsmooth” variational problem with solvable constraint”, Algebra i Analiz, 18:5 (2006), 1–22; St. Petersburg Math. J., 18:5 (2007), 681–697
M. Sh. Birman, T. A. Suslina, “Averaging of periodic elliptic differential operators with the account of a corrector”, Algebra i Analiz, 17:6 (2005), 1–104; St. Petersburg Math. J., 17:6 (2006), 897–973
M. Sh. Birman, T. A. Suslina, “Threshold approximations for the resolvent of a factoried selfadjoint family with corrector”, Algebra i Analiz, 17:5 (2005), 69–90; St. Petersburg Math. J., 17:5 (2006), 745–762
M. Sh. Birman, T. A. Suslina, “Homogenization of a multidimensional periodic elliptic operator in a neighbourhood of the edge of the internal gap”, Zap. Nauchn. Sem. POMI, 318 (2004), 60–74; J. Math. Sci. (N. Y.), 136:2 (2006), 3682–3690
M. Sh. Birman, T. A. Suslina, “Periodic differential operators of second order. Threshold properties and averagings”, Algebra i Analiz, 15:5 (2003), 1–108; St. Petersburg Math. J., 15:5 (2004), 639–714
M. Sh. Birman, “Average procedure for periodic operators near an edge of internal gap”, Algebra i Analiz, 15:4 (2003), 61–71; St. Petersburg Math. J., 15:4 (2004), 507–513
M. Sh. Birman, T. A. Suslina, R. G. Shterenberg, “Absolute continuity of the two-dimensional Schrödinger operator with delta potential concentrated on a periodic system of curves”, Algebra i Analiz, 12:6 (2000), 140–177; St. Petersburg Math. J., 12:6 (2001), 983–1012
M. Sh. Birman, A. Laptev, T. A. Suslina, “The discrete spectrum of a two-dimensional second-order periodic elliptic operator perturbed by a decreasing potential. I. A semi-infinite gap”, Algebra i Analiz, 12:4 (2000), 36–78; St. Petersburg Math. J., 12:4 (2001), 535–567
M. Sh. Birman, T. A. Suslina, “A periodic magnetic Hamiltonian with a variable metric. The problem of absolute continuity”, Algebra i Analiz, 11:2 (1999), 1–40; St. Petersburg Math. J., 11:2 (2000), 203–232
M. Sh. Birman, T. A. Suslina, “Absolute continuity of a two-dimensional periodic magnetic Hamiltonian with discontinuous vector potential”, Algebra i Analiz, 10:4 (1998), 1–36; St. Petersburg Math. J., 10:4 (1999), 579–601
M. Sh. Birman, “The discrete spectrum in gaps of the perturbed periodic Schrödinger operator. II. Nonregular perturbations”, Algebra i Analiz, 9:6 (1997), 62–89; St. Petersburg Math. J., 9:6 (1998), 1073–1095
M. Sh. Birman, T. A. Suslina, “The two-dimensional periodic magnetic Hamiltonian is absolutely continuous”, Algebra i Analiz, 9:1 (1997), 32–48; St. Petersburg Math. J., 9:1 (1998), 21–32
M. Sh. Birman, A. B. Pushnitskii, “Discrete spectrum in the gaps of perturbed pseudorelativistic Hamiltonian”, Zap. Nauchn. Sem. POMI, 249 (1997), 102–117; J. Math. Sci. (New York), 101:5 (2000), 3437–3447
M. Sh. Birman, “The discrete spectrum of the periodic Schrödinger operator perturbed by a decreasing potential”, Algebra i Analiz, 8:1 (1996), 3–20; St. Petersburg Math. J., 8:1 (1997), 1–14
M. Sh. Birman, D. R. Yafaev, “The scattering matrix for a perturbation of a periodic Schrödinger operator by decreasing potential”, Algebra i Analiz, 6:3 (1994), 17–39; St. Petersburg Math. J., 6:3 (1995), 453–474
M. Sh. Birman, M. Z. Solomyak, “Principal singularities of the electric component of an electromagnetic field in regions with screens”, Algebra i Analiz, 5:1 (1993), 143–159; St. Petersburg Math. J., 5:1 (1994), 125–139
M. Sh. Birman, D. R. Yafaev, “Spectral properties of the scattering matrix”, Algebra i Analiz, 4:6 (1992), 1–27; St. Petersburg Math. J., 4:6 (1993), 1055–1079
M. Sh. Birman, D. R. Yafaev, “The spectral shift function. The papers of M. G. Krein and their further development”, Algebra i Analiz, 4:5 (1992), 1–44; St. Petersburg Math. J., 4:5 (1993), 833–870
M. Sh. Birman, “Three problems in the theory of continuous media in polyhedrons”, Zap. Nauchn. Sem. POMI, 200 (1992), 27–37; J. Math. Sci., 77:3 (1995), 3153–3160
M. Sh. Birman, “The discrete spectrum in the gaps of a second-order perturbed periodic operator”, Funktsional. Anal. i Prilozhen., 25:2 (1991), 89–92; Funct. Anal. Appl., 25:2 (1991), 158–161
M. Sh. Birman, M. Z. Solomyak, “The selfadjoint Maxwell operator in arbitrary domains”, Algebra i Analiz, 1:1 (1989), 96–110; Leningrad Math. J., 1:1 (1990), 99–115
M. Sh. Birman, M. Z. Solomyak, “Estimates for the difference of the fractional powers of self-adjoint operators under unbounded perturbations”, Zap. Nauchn. Sem. LOMI, 178 (1989), 120–145; J. Soviet Math., 61:2 (1992), 2018–2035
M. Sh. Birman, D. R. Yafaev, “On the trace-class method in potential scattering theory”, Zap. Nauchn. Sem. LOMI, 171 (1989), 12–35; J. Soviet Math., 56:2 (1991), 2285–2299
M. S. Birman, M. Z. Solomjak, “Operator integration, perturbations and commutators”, Zap. Nauchn. Sem. LOMI, 170 (1989), 34–66; J. Soviet Math., 63:2 (1993), 129–148
M. Sh. Birman, “The Maxwell operator for a periodic resonator with inward edges”, Trudy Mat. Inst. Steklov., 179 (1988), 23–35; Proc. Steklov Inst. Math., 179 (1989), 21–34
M. Sh. Birman, M. Z. Solomyak, “$L_2$-Theory of the Maxwell operator in arbitrary domains”, Uspekhi Mat. Nauk, 42:6(258) (1987), 61–76; Russian Math. Surveys, 42:6 (1987), 75–96
M. Sh. Birman, M. Z. Solomyak, “The Maxwell operator in domains with a nonsmooth boundary”, Sibirsk. Mat. Zh., 28:1 (1987), 23–36; Siberian Math. J., 28:1 (1987), 12–24
M. Sh. Birman, M. Z. Solomyak, “Construction of a function of class $H^2$ with given conormal derivative in a piecewise smooth domain”, Zap. Nauchn. Sem. LOMI, 163 (1987), 17–28
M. Sh. Birman, D. R. Yafaev, “Asymptotic behavior of the limiting phase shifts in the case of scattering by a potential without spherical symmetry”, TMF, 51:1 (1982), 44–53; Theoret. and Math. Phys., 51:1 (1982), 344–350
M. Sh. Birman, M. Z. Solomyak, “Asymptotic behavior of the spectrum of variational problems on the solutions of elliptic systems”, Zap. Nauchn. Sem. LOMI, 115 (1982), 23–39; J. Soviet Math., 28:5 (1985), 633–644
M. Sh. Birman, D. R. Yafaev, “Asymptotics of the spectrum of the scattering matrix”, Zap. Nauchn. Sem. LOMI, 110 (1981), 3–29; J. Soviet Math., 25:1 (1984), 793–814
M. Sh. Birman, M. Z. Solomyak, “Asymptotics of the spectrum of variational problems on solutions of elliptic equations in unbounded domains”, Funktsional. Anal. i Prilozhen., 14:4 (1980), 27–35; Funct. Anal. Appl., 14:4 (1980), 267–274
M. Sh. Birman, “On the quasi-classical spectral asymptotics of one class of integral operators”, Zap. Nauchn. Sem. LOMI, 98 (1980), 22–32; J. Soviet Math., 21:1 (1983), 12–20
M. Sh. Birman, A. M. Vershik, M. Z. Solomyak, “Product of commuting spectral measures need not be countably additive”, Funktsional. Anal. i Prilozhen., 13:1 (1979), 61–62; Funct. Anal. Appl., 13:1 (1979), 48–49
M. Sh. Birman, M. Z. Solomyak, “Asymptotic behavior of the spectrum of variational problems on solutions of elliptic equations”, Sibirsk. Mat. Zh., 20:1 (1979), 3–22; Siberian Math. J., 20:1 (1979), 1–15
M. Sh. Birman, M. Z. Solomyak, “Asymptotic properties of the spectrum of differential equations”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 14 (1977), 5–58; J. Soviet Math., 12:3 (1979), 247–283
M. Sh. Birman, M. Z. Solomyak, “Estimates of singular numbers of integral operators”, Uspekhi Mat. Nauk, 32:1(193) (1977), 17–84; Russian Math. Surveys, 32:1 (1977), 15–89
A. B. Alekseev, M. Sh. Birman, “Asymptotic behavior of the spectrum of elliptic boundary value problems with resolvable couplings”, Dokl. Akad. Nauk SSSR, 230:3 (1976), 505–507
M. Sh. Birman, L. S. Koplienko, M. Z. Solomyak, “Estimates of the spectrum of a difference of fractional powers of selfadjoint operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 3, 3–10; Soviet Math. (Iz. VUZ), 19:3 (1975), 1–6
M. Sh. Birman, M. Z. Solomyak, “Equivalent renormings of $W_p^r$ classes in the case of partitioning of the domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 3, 19–27
M. Sh. Birman, M. Z. Solomyak, “On the asymptotic spectrum of “nonsmooth” elliptic equations”, Funktsional. Anal. i Prilozhen., 5:1 (1971), 69–70; Funct. Anal. Appl., 5:1 (1971), 56–57
M. Sh. Birman, “Scattering problems for differential operators with perturbation of the space”, Izv. Akad. Nauk SSSR Ser. Mat., 35:2 (1971), 440–455; Math. USSR-Izv., 5:2 (1971), 459–474
M. Sh. Birman, M. Z. Solomyak, “Leading term in the asymptotic spectral formula for “nonsmooth” elliptic problems”, Funktsional. Anal. i Prilozhen., 4:4 (1970), 1–13; Funct. Anal. Appl., 4:4 (1970), 265–275
M. Sh. Birman, M. Z. Solomyak, “Asymptotic behavior of the spectrum of weakly polar integral
operators”, Izv. Akad. Nauk SSSR Ser. Mat., 34:5 (1970), 1142–1158; Math. USSR-Izv., 4:5 (1970), 1151–1168
M. Sh. Birman, M. Z. Solomyak, “Remarks on the nuclearity of integral operators and the boundedness of pseudodifferential operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 9, 11–17
A. L. Belopol'skii, M. Sh. Birman, “The existence of wave operators in scattering theory for pairs of
spaces”, Izv. Akad. Nauk SSSR Ser. Mat., 32:5 (1968), 1162–1175; Math. USSR-Izv., 2:5 (1968), 1117–1130
M. Sh. Birman, “A local criterion for the existence of wave operators”, Izv. Akad. Nauk SSSR Ser. Mat., 32:4 (1968), 914–942; Math. USSR-Izv., 2:4 (1968), 879–906
M. Sh. Birman, S. B. Èntina, “The stationary method in the abstract theory of scattering”, Izv. Akad. Nauk SSSR Ser. Mat., 31:2 (1967), 401–430; Math. USSR-Izv., 1:2 (1967), 391–420
M. Sh. Birman, M. Z. Solomyak, “Piecewise-polynomial approximations of functions of the classes $W_p^\alpha$”, Mat. Sb. (N.S.), 73(115):3 (1967), 331–355; Math. USSR-Sb., 2:3 (1967), 295–317
M. Sh. Birman, M. Z. Solomyak, “Approximation of functions of the $W_p^\alpha$-classes by piece-wise-polynomial functions”, Dokl. Akad. Nauk SSSR, 171:5 (1966), 1015–1018
M. Sh. Birman, G. E. Skvortsov, “On square summability of highest derivatives of the solution of the Dirichlet problem in a domain with piecewise smooth boundary”, Izv. Vyssh. Uchebn. Zaved. Mat., 1962, no. 5, 12–21
M. Sh. Birman, “Perturbation of the spectrum of a singular elliptic operator under variation of the boundary and boundary conditions”, Dokl. Akad. Nauk SSSR, 137:4 (1961), 761–763
V. I. Arnol'd, M. Sh. Birman, A. M. Vershik, M. I. Vishik, I. M. Gel'fand, I. A. Ibragimov, V. P. Maslov, S. P. Novikov, G. A. Seregin, Ya. G. Sinai, M. Z. Solomyak, V. A. Solonnikov, N. N. Ural'tseva, L. D. Faddeev, “Olga Aleksandrovna Ladyzhenskaya (obituary)”, Uspekhi Mat. Nauk, 59:3(357) (2004), 151–152; Russian Math. Surveys, 59:3 (2004), 553–555
A. A. Arkhipova, M. S. Birman, V. S. Buslaev, V. G. Osmolovskii, S. I. Repin, G. A. Seregin, N. N. Ural'tseva, T. N. Shilkin, “To the jubillee of O. A. Ladyzhenskaya”, Zap. Nauchn. Sem. POMI, 288 (2002), 5–13; J. Math. Sci. (N. Y.), 123:6 (2004), 4523–4526
M. Sh. Birman, T. A. Suslina, R. G. Shterenberg, “Letter to the editors”, Algebra i Analiz, 13:2 (2001), 240
83.
B. A. Amosov, M. Sh. Birman, M. I. Vishik, L. R. Volevich, I. M. Gel'fand, L. F. Fridlender, M. A. Shubin, “Mikhail Semenovich Agranovich (on his 70th birthday)”, Uspekhi Mat. Nauk, 56:4(340) (2001), 163–168; Russian Math. Surveys, 56:4 (2001), 777–784
V. I. Arnol'd, M. Sh. Birman, I. M. Gel'fand, I. A. Ibragimov, S. V. Kerov, A. A. Kirillov, O. A. Ladyzhenskaya, G. A. Leonov, A. A. Lodkin, S. P. Novikov, Ya. G. Sinai, M. Z. Solomyak, L. D. Faddeev, “Anatolii Moiseevich Vershik (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 49:3(297) (1994), 195–204; Russian Math. Surveys, 49:3 (1994), 207–221
M. Sh. Birman, S. G. Krein, O. A. Ladyzhenskaya, G. V. Rozenblum, Yu. G. Safarov, “Mikhail Zakharovich Solomyak (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 46:4(280) (1991), 183–184; Russian Math. Surveys, 46:4 (1991), 217–219
M. Sh. Birman, S. G. Gindikin, L. M. Likhtarnikov, Yu. G. Reshetnyak, T. G. Sukacheva, “XIV School on Operator Theory in Functional Spaces”, Uspekhi Mat. Nauk, 45:2(272) (1990), 229–230
M. S. Birman, V. G. Maz'ya, “Linear and non-linear equations of parabolic type: O. A. Ladyzhenskaya, V. A. Solonnikov and N. N. Ural'tseva. “Nauka”, Moscow, 1967. Lineinye i kvazilineinye uravneniya parabolicheskogo tipa”, Zh. Vychisl. Mat. Mat. Fiz., 8:5 (1968), 1178–1180; U.S.S.R. Comput. Math. Math. Phys., 8:5 (1968), 345–348
1958
88.
I. Ya. Bakelman, M. Sh. Birman, O. A. Ladyzhenskaya, “Solomon Grigor'evich Mikhlin (on the fiftieth anniversary of his birth)”, Uspekhi Mat. Nauk, 13:5(83) (1958), 215–221