Edit Profile (opens in new tab) Birman, Mikhail Shlëmovich Compute Distance To: Compute Author ID: birman.mikhail-shlemovich Published as: Birman, M. Sh.; Birman, M. S.; Birman, M. Š.; Birman, Michael Sh.; Birman, Mikhail Sh.; Birman, Mikhail S.; Birman, Michael; Birman, M. more...less Further Spellings: Бирман Михаил Шлёмович External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 181 Publications since 1950, including 4 Books 13 Contributions as Editor · 2 Further Contributions Biographic References: 8 Publications Co-Authors: 35 Co-Authors with 137 Joint Publications 1,191 Co-Co-Authors all top 5 Co-Authors 58 single-authored 76 Solomyak, Mikhaĭl Zakharovich 20 Suslina, Tat’yana Aleksandrovna 8 Yafaev, Dimitri R. 7 Laptev, Ari 6 Ural’tseva, Nina Nikolaevna 4 Alekseev, A. B. 4 Hildebrandt, Stefan 4 Solonnikov, Vsevolod Alekseevich 4 Vershik, Anatoliĭ Moiseevich 2 Belopol’skij, A. L. 2 Èntina, S. B. 2 Filonov, Nikolai D. 2 Pushnitski, Alexander B. 2 Sloushch, Vladimir Anatolevich 2 Smirnov, Vladimir Ivanovich 1 Abramov, L. M. 1 Amosov, B. A. 1 Arnol’d, Vladimir Igorevich 1 Babich, Vasiliĭ Mikhaĭlovich 1 Bakel’man, Il’ya Yakovlevich 1 Borzov, Vadim V. 1 Cezus, Frank A. 1 Faddeev, Dmitriĭ Konstantinovich 1 Faddeev, Lyudvig Dmitrievich 1 Fomin, Vladimir Nikolaevich 1 Friedlander, L. F. 1 Gel’fand, Israil’ Moiseevich 1 Glazman, Izrail Markovich 1 Gorin, Evgeniĭ Alekseevich 1 Gromov, Mikhael Leonidovich 1 Iokhvidov, I. S. 1 Kadets, Mikhail I. 1 Karadzhov, Georgi Eremiev 1 Koplienko, L. S. 1 Kostyuchenko, Anatolii Gordeevich 1 Krasnosel’skiĭ, Mark Aleksandrovich 1 Kreĭn, Mark Grigor’evich 1 Kreĭn, Selim Grigor’evich 1 Ladyzhenskaya, Ol’ga Aleksandrovna 1 Leifman, Lev J. 1 Linnik, Yuriĭ Vladimirovich 1 Lozinskiĭ, Sergeĭ Mikhaĭlovich 1 Lozinskij, V. I. 1 Mityagin, Boris Samuilovich 1 1 Pavlov, Boris Sergeevich 1 Petunin, Yuriĭ Ivanovich 1 Pliss, Viktor Aleksandrovich 1 Raikov, Georgi D. 1 Romanovskiĭ, Iosif Vladimirovich 1 Rutitskij, Ya. B. 1 Semënov, Evgeniĭ Mikhaĭlovich 1 Shterenberg, Roman G. 1 Shubin, Mikhail Aleksandrovich 1 Skvortsov, G. E. 1 Sobolev, Vladimir Ivanovich 1 Stechenko, V. Ya. 1 Tsitlanadze, Elizbar S. 1 Vilenkin, Naum Yakovlevich 1 Vishik, Marko Iosifovich 1 Volevich, Leonid Romanovich 1 Volkov, Yuriĭ Aleksandrovich 1 Vulikh, Boris Zakharovich 1 Weidl, Timo 1 Yakubovich, Vladimir Andreevich 1 Zabreĭko, Pëtr Petrovich 1 Zalgaller, Viktor Abramovich all top 5 Serials 19 St. Petersburg Mathematical Journal 15 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 12 Soviet Mathematics. Doklady 11 Journal of Soviet Mathematics 9 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 8 Functional Analysis and its Applications 7 Vestnik Leningrad University. Mathematics 5 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 4 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 4 Russian Mathematical Surveys 4 Integral Equations and Operator Theory 4 Mathematics of the USSR. Izvestiya 4 Doklady Akademii Nauk SSSR. Novaya Seriya 4 Translations. Series 2. American Mathematical Society 3 Doklady Akademii Nauk SSSR 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Translations. Series 2. American Mathematical Society 2 Arkiv för Matematik 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Siberian Mathematical Journal 2 Transactions of the Moscow Mathematical Society 2 Trudy Moskovskogo Matematicheskogo Obshchestva 2 Zapiski Nauchnykh Seminarov POMI 2 Journal of Mathematical Sciences (New York) 2 Problemy Matematicheskoĭ Fiziki 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Mathematische Nachrichten 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Selecta Mathematica Sovietica 1 Algebra i Analiz 1 Leningrad Mathematical Journal 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Advances in Soviet Mathematics 1 Mathematics and Its Applications. Soviet Series 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematical Modelling of Natural Phenomena all top 5 Fields 108 Partial differential equations (35-XX) 98 Operator theory (47-XX) 13 Functional analysis (46-XX) 13 Quantum theory (81-XX) 12 General and overarching topics; collections (00-XX) 12 Optics, electromagnetic theory (78-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 6 History and biography (01-XX) 6 Ordinary differential equations (34-XX) 4 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 3 Measure and integration (28-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 160 Publications have been cited 1,939 times in 1,113 Documents Cited by ▼ Year ▼ Spectral theory of self-adjoint operators in Hilbert space. Translation from the 1980 Russian original by S. Khrushchëv and V. Peller. (Спектральная теория самосопряженных операторов в гильбертовом пространстве.) Zbl 0744.47017Birman, M. S.; Solomyak, M. Z. 148 1987 \(L_ 2\)-theory of the Maxwell operator in arbitrary domains. Zbl 0653.35075Birman, M. Sh.; Solomyak, M. Z. 96 1987 Piecewise-polynomial approximations of functions of the class \(W_p^\alpha\). Zbl 0173.16001Birman, M. Sh.; Solomyak, M. Z. 91 1967 Double operator integrals in a Hilbert space. Zbl 1054.47030Birman, Mikhail Sh.; Solomyak, Michael 65 2003 Double Stieltjes operator integrals. II. Zbl 0182.46202Birman, M. Sh.; Solomyak, M. Z. 60 1967 Second order periodic differential operators. Threshold properties and homogenization. Zbl 1072.47042Birman, M. Sh.; Suslina, T. A. 58 2004 Quantitative analysis in Sobolev imbedding theorems and applications to spectral theory. Transl. from the Russian by F. A. Cezus. Ed. by Lev J. Leifman. Zbl 0426.46020Birman, M. Sh.; Solomyak, M. Z. 50 1980 Double Stieltjes operator integrals. Zbl 0161.34602Birman, M. Sh.; Solomyak, M. Z. 48 1966 Estimates for the singular values of integral operators. Zbl 0344.47021Birman, M. Sh.; Solomyak, M. Z. 47 1977 The spectrum of singular boundary problems. Zbl 0174.42502Birman, M. Sh. 37 1966 Homogenization with corrector term for periodic elliptic differential operators. Zbl 1175.35007Birman, M. Sh.; Suslina, T. A. 37 2006 On the theory of wave operators and scattering operators. Zbl 0196.45004Birman, M. Sh.; Kreĭn, M. G. 35 1962 Estimates for the number of negative eigenvalues of the Schrödinger operator and its generalization. Zbl 0749.35026Birman, M. Sh.; Solomyak, M. Z. 32 1991 The spectral shift function. The work of M. G. Krejn and its further development. Zbl 0791.47013Birman, M. Sh.; Yafaev, D. R. 31 1992 Asymptotic behavior of the spectrum of pseudodifferential operators with anisotropically homogeneous symbols. Zbl 0377.47033Birman, M. Sh.; Solomyak, M. Z. 31 1977 Estimates of singular numbers of integral operators. Zbl 0376.47023Birman, M. Sh.; Solomyak, M. Z. 30 1977 Double Stieltjes operator integrals. III: Limit under the integral sign. Zbl 0281.47013Birman, M. Sh.; Solomyak, M. Z. 30 1973 Threshold effects near the lower edge of the spectrum for periodic differential operators of mathematical physics. Zbl 1032.35145Birman, Michael; Suslina, Tatyana 28 2001 The negative discrete spectrum of a two-dimensional Schrödinger operator. Zbl 0864.35080Birman, M. Sh.; Laptev, A. 27 1996 Spectral asymptotics of nonsmooth elliptic operators. I. Zbl 0251.35075Birman, M. Sh.; Solomyak, M. Z. 27 1972 Estimates of the spectrum of a difference of fractional powers of selfadjoint operators. Zbl 0313.47020Birman, M. Sh.; Koplienko, L. S.; Solomyak, M. Z. 26 1975 Periodic magnetic Hamiltonian with variable metric. The problem of absolute continuity. Zbl 0941.35015Birman, M. Sh.; Suslina, T. A. 25 1999 Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant. Zbl 0754.35025Birman, M. Sh. 25 1991 Remarks on the spectral shift function. Zbl 0329.47009Birman, M. Sh.; Solomyak, M. Z. 24 1972 Remarks on the spectral shift function. Zbl 0336.47017Birman, M. Sh.; Solomyak, M. Z. 24 1975 The stationary method in the abstract theory of scattering. Zbl 0173.16501Birman, M. Sh.; Èntina, S. B. 23 1967 Boundedness conditions and spectrum estimates for the operators \(b (X) a (D)\) and their analogs. Zbl 0768.47025Birman, M. Sh.; Karadzhov, G. E.; Solomyak, M. Z. 23 1991 Asymptotic behavior of the spectrum of differential equations. Zbl 0424.35069Birman, M. Sh.; Solomyak, M. Z. 22 1979 Schrödinger operator. Estimates for number of bound states as function- theoretical problem. Zbl 0756.35057Birman, M. S.; Solomyak, M. Z. 22 1992 Spectral shift function, amazing and multifaceted. Zbl 0907.47014Birman, M. Sh.; Pushnitski, A. B. 18 1998 Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class \(H^1({\mathbb{R}}^d)\). Zbl 1153.35012Birman, M. Sh.; Suslina, T. A. 18 2007 Operator integration, perturbations and commutators. Zbl 0709.47022Birman, M. Sh.; Solomyak, M. Z. 18 1989 Discrete spectrum in the gaps of a perturbed periodic Schrödinger operator. II: Nonregular perturbations. Zbl 0911.35082Birman, M. Sh. 17 1997 Tensor product of a finite number of spectral measures is always a spectral measure. Zbl 0844.47013Birman, M.; Solomyak, M. 16 1996 Asymptotic behavior of the spectrum of weakly polar integral operators. Zbl 0261.47027Birman, M. Sh.; Solomyak, M. Z. 16 1971 Asymptotics of the spectrum of variational problems on solutions of elliptic equations. Zbl 0427.35050Birman, M. Sh.; Solomyak, M. Z. 15 1979 The asymptotics of the spectrum of pseudo-differential operators with anisotropic-homogeneous symbols. II. Zbl 0439.47040Birman, M. Sh.; Solomyak, M. Z. 15 1979 The self-adjoint Maxwell operator in arbitrary domains. Zbl 0733.35099Birman, M. Sh.; Solomyak, M. Z. 15 1990 The discrete spectrum in the gaps of a second-order perturbed periodic operator. Zbl 0733.35083Birman, M. Sh. 14 1991 Discrete spectrum of the perturbed Dirac operator. Zbl 0822.35104Birman, Mikhail Sh.; Laptev, Ari 13 1994 Absolute continuity of the spectrum of a two-dimensional Schrödinger operator with potential supported on a periodic system of curves. Zbl 0998.35006Birman, M. Sh.; Shterenberg, R. G.; Suslina, T. A. 13 2001 Maxwell operator in regions with nonsmooth boundaries. Zbl 0655.35067Birman, M. Sh.; Solomyak, M. Z. 13 1987 Two-dimensional periodic magnetic Hamiltonian is absolutely continuous. Zbl 0890.35096Birman, M. Sh.; Suslina, T. A. 12 1997 The periodic Dirac operator is absolutely continuous. Zbl 0937.35032Birman, M. Sh.; Suslina, T. A. 12 1999 The Weyl asymptotics of the spectrum of the Maxwell operator for domains with a Lipschitz boundary. Zbl 0639.35062Birman, M. Sh.; Solomyak, M. Z. 12 1987 Absolute continuity of the two-dimensional periodic magnetic Hamiltonian with discontinuous vector-valued potential. Zbl 0922.35101Birman, M. Sh.; Sulina, T. A. 12 1998 Two-dimensional periodic Pauli operator. The effective masses at the lower edge of the spectrum. Zbl 0976.81005Birman, M. Sh.; Suslina, T. A. 11 1999 The discrete spectrum in gaps of the perturbed periodic Schrödinger operator. I: Regular perturbations. Zbl 0848.47032Birman, M. Sh. 11 1995 Leading term in the asymptotic spectral formula for ”nonsmooth” elliptic problems. Zbl 0225.35077Birman, M. Sh.; Solomyak, M. Z. 11 1970 On subspaces admitting a pseudodifferential projector. Zbl 0484.35085Birman, M. Sh.; Solomyak, M. Z. 11 1982 Asymptotic behavior of the spectrum of the scattering matrix. Zbl 0531.35062Birman, M. Sh.; Yafaev, D. R. 11 1984 Discrete spectrum of the periodic Schrödinger operator perturbed by a decaying potential. Zbl 0853.35082Birman, M. Sh. 11 1996 On the negative discrete spectrum of a periodic elliptic operator in a waveguide-type domain, perturbed by a decaying potential. Zbl 1200.35196Birman, M. Sh.; Solomyak, M. 10 2001 Threshold approximations with corrector for the resolvent of a factorized selfadjoint operator family. Zbl 1121.47031Birman, M. Sh.; Suslina, T. A. 10 2006 Product of commuting spectral measures need not be countably additive. Zbl 0423.28008Birman, M. Sh.; Vershik, A. M.; Solomyak, M. Z. 9 1979 Quantitative analysis in Sobolev imbedding theorems and applications to spectral theory. Tenth Mathematical School (Summer School, Katsiveli/Nalchik, 1972). (Количественный анализ в теоремах вложения Соболева и приложения к спектральной теории. (Десятая Математическая Школа.) Zbl 0426.46019Birman, M. Sh.; Solomyak, M. Z. 9 1974 The negative discrete spectrum of the operator \((-\Delta)^ l-\alpha V\) in \(L_ 2(\mathbb{R}^ d)\) for \(d\) even and \(2l\geq d\). Zbl 0876.35079Birman, Mikhail Sh.; Laptev, Ari; Solomyak, Michael 9 1997 On homogenization procedure for periodic operators near the edge of an internal gap. Zbl 1080.35051Birman, M. Sh. 9 2004 A stationary approach in the abstract theory of scattering. Zbl 0116.32502Birman, M. Sh.; Èntina, S. B. 9 1964 Scattering problems for differential operators with constant coefficients. Zbl 0196.16101Birman, M. Sh. 9 1969 On the eigenvalue behaviour for a class of differential operators on the semiaxis. Zbl 0916.34067Birman, M. Sh.; Laptev, A.; Solomyak, M. 9 1998 Spectral asymptotics of nonsmooth elliptic operators. II. Zbl 0281.35079Birman, M. Sh.; Solomyak, M. Z. 8 1973 Discrete spectrum in the gaps of the continuous one in the large- coupling-constant limit. Zbl 0773.35047Birman, M. S. 8 1990 Perturbations of the continuous spectrum of a singular elliptic operator by varying the boundary and the boundary conditions. Zbl 1184.35234Birman, M. Sh. 8 2008 On the main singularities of the electric component of the electro- magnetic field in regions with screens. Zbl 0804.35127Birman, M. Sh.; Solomyak, M. Z. 7 1993 Asymptotics of the spectrum of variational problems on solutions of elliptic equations in unbounded domains. Zbl 0463.35061Birman, M. Sh.; Solomyak, M. Z. 7 1981 On the asymptotic spectrum of ”nonsmooth” elliptic equations. Zbl 0226.35072Birman, M. Sh.; Solomyak, M. Z. 7 1971 Estimates of singular values of integral operators. III: Operators in unbounded domains. Zbl 0181.13601Birman, M. Sh.; Solomyak, M. Z. 7 1969 A local criterion for the existence of wave operators. Zbl 0183.14104Birman, M. Sh. 7 1969 Discrete spectrum of the periodic Schrödinger operator with a variable metric perturbed by a nonnegative potential. Zbl 1207.47041Birman, M. Sh.; Sloushch, V. A. 7 2010 Operator error estimates in the homogenization problem for nonstationary periodic equations. Zbl 1206.35028Birman, M. Sh.; Suslina, T. A. 7 2009 The asymptotics of the spectrum of the scattering matrix. Zbl 0501.35064Birman, M. Sh.; Yafaev, D. R. 7 1981 Homogenization of a multidimensional periodic elliptic operator in a neighborhood of an edge of an inner gap. Zbl 1108.35008Birman, M. Sh.; Suslina, T. A. 6 2004 Über die quadratische Summierbarkeit der höchsten Ableitungen der Lösung des Dirichlet-Problems in einem Gebiet mit stückweise glattem Rand. Zbl 0128.33001Birman, M. Sh.; Skvortsov, G. E. 6 1962 On the complete continuity of certain imbedding operators. (Über die Vollstetigkeit gewisser Einbettungsoperatoren.) Zbl 0134.11302Birman, M. Sh.; Pavlov, B. S. 6 1961 Perturbation of the spectrum of a singular elliptic operator under variation of the boundary and boundary conditions. Zbl 0146.34403Birman, M. Sh. 6 1961 Discrete spectrum in gaps for perturbations of the magnetic Schrödinger operator. Zbl 0753.35021Birman, M. Sh.; Raǐkov, G. D. 6 1991 Homogenization of the stationary periodic Maxwell system in the case of constant permeability. Zbl 1253.35012Birman, M. Sh.; Suslina, T. A. 6 2007 Construction in a piecewise smooth domain of a function of the class \(H^ 2\) from the value of the conormal derivative. Zbl 0696.46039Birman, M. Sh.; Solomyak, M. Z. 6 1990 Spectral properties of the scattering matrix. Zbl 0819.47009Birman, M. Sh.; Yafaev, D. R. 5 1992 Scattering matrix for the perturbation of a periodic Schrödinger operator by a decaying potential. Zbl 0860.35088Birman, M. Sh.; Yafaev, D. R. 5 1994 Equivalent renormings of \(W_p^r\) classes in the case of partitioning of the domain. Zbl 0269.46024Birman, M. Sh.; Solomyak, M. Z. 5 1973 Asymptotics of the spectrum of pseudodifferential variational problems with restrictions. Zbl 0602.35086Birman, M. S.; Solomyak, M. Z. 5 1986 The existence of wave operators in scattering theory for pairs of spaces. Zbl 0186.20803Belopol’skij, A. L.; Birman, M. Sh. 5 1970 Estimates of difference of fractional powers of selfadjoint operators in case of unbounded perturbations. Zbl 0709.47004Birman, M. Sh.; Solomyak, M. Z. 5 1989 Compact operators with the power asymptotics of singular numbers. Zbl 0518.47014Birman, M. Sh.; Solomyak, M. Z. 5 1983 A general scheme in the stationary scattering theory. Zbl 0818.35073Birman, M. Sh.; Yafaev, D. R. 4 1993 The discrete spectrum in a gap of the continuous one for compact supported perturbations. Zbl 0824.35090Birman, M. Sh.; Weidl, T. 4 1994 Discrete spectrum of the perturbed Dirac operator. Zbl 0858.47004Birman, M. Sh.; Laptev, A. 4 1994 Spectral asymptotics of nonsmooth elliptic operators. Zbl 0264.35056Birman, M. Sh.; Solomyak, M. Z. 4 1972 Über das Spektrum von singulären Randwertaufgaben. Zbl 0104.32601Birman, M. Sh. 4 1961 Ein lokales Kriterium der Existenz von Wellenoperatoren. Zbl 0169.16903Birman, M. Sh. 4 1968 Estimates of singular values of integral operators. II. Zbl 0177.18802Birman, M. Sh.; Solomyak, M. Z. 4 1967 Existing conditions for wave operators. Zbl 0178.50203Birman, M. Sh. 4 1966 Remarks on the nuclearity of integral operators and the boundedness of pseudodifferential operators. Zbl 0187.08501Birman, M. Sh.; Solomyak, M. Z. 4 1969 Weyl asymptotic of the spectrum of the Maxwell operator with non-smooth coefficients in Lipschitz domains. Zbl 1260.35096Birman, M. Sh.; Filonov, N. D. 4 2007 On the absolute continuity of the periodic Schrödinger and Dirac operators with magnetic potential. Zbl 1056.81507Birman, M. Sh.; Suslina, T. A. 4 2000 Nonlinear problems in mathematical physics and related topics I. In honor of Professor O. A. Ladyzhenskaya. Zbl 0998.00008 4 2002 Estimates for the difference of fractional powers of selfadjoint operators in the case of unbounded perturbations. Zbl 0784.47011Birman, M. Sh.; Solomyak, M. Z. 3 1989 Spectral asymptotics of nonsmooth elliptic operators. II. Zbl 0296.35066Birman, M. Sh.; Solomyak, M. Z. 3 1975 A simple embedding theorem for kernels of trace class integral operators in \(L^2(\mathbb{R}^m)\). Application to the Fredholm trace formula. Zbl 1336.47023Birman, M. Sh. 2 2016 Discrete spectrum of the periodic Schrödinger operator with a variable metric perturbed by a nonnegative potential. Zbl 1207.47041Birman, M. Sh.; Sloushch, V. A. 7 2010 Operator error estimates in the homogenization problem for nonstationary periodic equations. Zbl 1206.35028Birman, M. Sh.; Suslina, T. A. 7 2009 Two-sided estimates for the trace of the difference of two semigroups. Zbl 1271.47035Birman, M. Sh.; Sloushch, V. A. 2 2009 Homogenization of periodic differential operators as a spectral threshold effect. Zbl 1179.35046Birman, Mikhail S.; Suslina, Tatiana A. 1 2009 Perturbations of the continuous spectrum of a singular elliptic operator by varying the boundary and the boundary conditions. Zbl 1184.35234Birman, M. Sh. 8 2008 The limit absorption principle and homogenization procedure for periodic elliptic operators. Zbl 1177.35027Birman, M. Sh.; Suslina, T. A. 2 2008 Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class \(H^1({\mathbb{R}}^d)\). Zbl 1153.35012Birman, M. Sh.; Suslina, T. A. 18 2007 Homogenization of the stationary periodic Maxwell system in the case of constant permeability. Zbl 1253.35012Birman, M. Sh.; Suslina, T. A. 6 2007 Weyl asymptotic of the spectrum of the Maxwell operator with non-smooth coefficients in Lipschitz domains. Zbl 1260.35096Birman, M. Sh.; Filonov, N. D. 4 2007 Homogenization with corrector term for periodic elliptic differential operators. Zbl 1175.35007Birman, M. Sh.; Suslina, T. A. 37 2006 Threshold approximations with corrector for the resolvent of a factorized selfadjoint operator family. Zbl 1121.47031Birman, M. Sh.; Suslina, T. A. 10 2006 Second order periodic differential operators. Threshold properties and homogenization. Zbl 1072.47042Birman, M. Sh.; Suslina, T. A. 58 2004 On homogenization procedure for periodic operators near the edge of an internal gap. Zbl 1080.35051Birman, M. Sh. 9 2004 Homogenization of a multidimensional periodic elliptic operator in a neighborhood of an edge of an inner gap. Zbl 1108.35008Birman, M. Sh.; Suslina, T. A. 6 2004 Ol’ga Aleksandrovna Ladyzhenskaya (obituary). Zbl 1062.01503Arnol’d, V. I.; Birman, M. Sh.; Vershik, A. M.; et al. 2 2004 Double operator integrals in a Hilbert space. Zbl 1054.47030Birman, Mikhail Sh.; Solomyak, Michael 65 2003 Nonlinear problems in mathematical physics and related topics I. In honor of Professor O. A. Ladyzhenskaya. Zbl 0998.00008 4 2002 Absolute continuity of the spectrum of the periodic operator of elasticity theory for constant shear modulus. Zbl 1046.74007Birman, Michael Sh.; Suslina, Tat’yana A. 3 2002 Nonlinear problems in mathematical physics and related topics II. In honour of Professor O. A. Ladyzhenskaya. Zbl 1005.00022 1 2002 Threshold effects near the lower edge of the spectrum for periodic differential operators of mathematical physics. Zbl 1032.35145Birman, Michael; Suslina, Tatyana 28 2001 Absolute continuity of the spectrum of a two-dimensional Schrödinger operator with potential supported on a periodic system of curves. Zbl 0998.35006Birman, M. Sh.; Shterenberg, R. G.; Suslina, T. A. 13 2001 On the negative discrete spectrum of a periodic elliptic operator in a waveguide-type domain, perturbed by a decaying potential. Zbl 1200.35196Birman, M. Sh.; Solomyak, M. 10 2001 Discrete spectrum of a two-dimensional periodic elliptic second order operator perturbed by a decaying potential. I: Semibounded gap. Zbl 1070.47041Birman, M. Sh.; Laptev, A.; Suslina, T. A. 2 2001 Mikhail Semenovich Agranovich (on his 70th birthday). Zbl 1017.01503Amosov, B. A.; Birman, M. S.; Vishik, M. I.; Volevich, L. R.; Gel’fand, I. M.; Friedlander, L. F.; Shubin, M. A. 2 2001 On the absolute continuity of the periodic Schrödinger and Dirac operators with magnetic potential. Zbl 1056.81507Birman, M. Sh.; Suslina, T. A. 4 2000 Periodic magnetic Hamiltonian with variable metric. The problem of absolute continuity. Zbl 0941.35015Birman, M. Sh.; Suslina, T. A. 25 1999 The periodic Dirac operator is absolutely continuous. Zbl 0937.35032Birman, M. Sh.; Suslina, T. A. 12 1999 Two-dimensional periodic Pauli operator. The effective masses at the lower edge of the spectrum. Zbl 0976.81005Birman, M. Sh.; Suslina, T. A. 11 1999 Spectral shift function, amazing and multifaceted. Zbl 0907.47014Birman, M. Sh.; Pushnitski, A. B. 18 1998 Absolute continuity of the two-dimensional periodic magnetic Hamiltonian with discontinuous vector-valued potential. Zbl 0922.35101Birman, M. Sh.; Sulina, T. A. 12 1998 On the eigenvalue behaviour for a class of differential operators on the semiaxis. Zbl 0916.34067Birman, M. Sh.; Laptev, A.; Solomyak, M. 9 1998 Discrete spectrum in the gaps of a perturbed periodic Schrödinger operator. II: Nonregular perturbations. Zbl 0911.35082Birman, M. Sh. 17 1997 Two-dimensional periodic magnetic Hamiltonian is absolutely continuous. Zbl 0890.35096Birman, M. Sh.; Suslina, T. A. 12 1997 The negative discrete spectrum of the operator \((-\Delta)^ l-\alpha V\) in \(L_ 2(\mathbb{R}^ d)\) for \(d\) even and \(2l\geq d\). Zbl 0876.35079Birman, Mikhail Sh.; Laptev, Ari; Solomyak, Michael 9 1997 Discrete spectrum in the gaps of a perturbed pseudorelativistic Hamiltonian. Zbl 0966.83005Birman, M. Sh.; Pushnitskii, A. B. 2 1997 “Non-standard” spectral asymptotics for a two-dimensional Schrödinger operator. Zbl 0910.35086Birman, Mikhail Sh.; Laptev, Ari 1 1997 The negative discrete spectrum of a two-dimensional Schrödinger operator. Zbl 0864.35080Birman, M. Sh.; Laptev, A. 27 1996 Tensor product of a finite number of spectral measures is always a spectral measure. Zbl 0844.47013Birman, M.; Solomyak, M. 16 1996 Discrete spectrum of the periodic Schrödinger operator perturbed by a decaying potential. Zbl 0853.35082Birman, M. Sh. 11 1996 Discrete spectrum of the periodic Schrödinger operator perturbed by a decaying potential. Zbl 0866.35087Birman, M. Sh. 1 1996 The discrete spectrum in gaps of the perturbed periodic Schrödinger operator. I: Regular perturbations. Zbl 0848.47032Birman, M. Sh. 11 1995 Discrete spectrum of the perturbed Dirac operator. Zbl 0822.35104Birman, Mikhail Sh.; Laptev, Ari 13 1994 Scattering matrix for the perturbation of a periodic Schrödinger operator by a decaying potential. Zbl 0860.35088Birman, M. Sh.; Yafaev, D. R. 5 1994 The discrete spectrum in a gap of the continuous one for compact supported perturbations. Zbl 0824.35090Birman, M. Sh.; Weidl, T. 4 1994 Discrete spectrum of the perturbed Dirac operator. Zbl 0858.47004Birman, M. Sh.; Laptev, A. 4 1994 Discrete spectrum of the periodic Schrödinger operator for non-negative perturbations. Zbl 0828.34075Birman, M. Sh. 2 1994 Discrete spectrum of the periodic elliptic operator with a differential perturbation. Zbl 0875.35062Birman, M. Sh. 1 1994 Ilya Bakelman 1928-1992 in Russia. Zbl 0879.01029Birman, Mikhail S. 1 1994 On the main singularities of the electric component of the electro- magnetic field in regions with screens. Zbl 0804.35127Birman, M. Sh.; Solomyak, M. Z. 7 1993 A general scheme in the stationary scattering theory. Zbl 0818.35073Birman, M. Sh.; Yafaev, D. R. 4 1993 The spectral shift function. The work of M. G. Krejn and its further development. Zbl 0791.47013Birman, M. Sh.; Yafaev, D. R. 31 1992 Schrödinger operator. Estimates for number of bound states as function- theoretical problem. Zbl 0756.35057Birman, M. S.; Solomyak, M. Z. 22 1992 Spectral properties of the scattering matrix. Zbl 0819.47009Birman, M. Sh.; Yafaev, D. R. 5 1992 Three problems in the mechanics of continua in polyhedra. Zbl 0836.35148Birman, M. Sh. 1 1992 Estimates for the number of negative eigenvalues of the Schrödinger operator and its generalization. Zbl 0749.35026Birman, M. Sh.; Solomyak, M. Z. 32 1991 Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant. Zbl 0754.35025Birman, M. Sh. 25 1991 Boundedness conditions and spectrum estimates for the operators \(b (X) a (D)\) and their analogs. Zbl 0768.47025Birman, M. Sh.; Karadzhov, G. E.; Solomyak, M. Z. 23 1991 The discrete spectrum in the gaps of a second-order perturbed periodic operator. Zbl 0733.35083Birman, M. Sh. 14 1991 Discrete spectrum in gaps for perturbations of the magnetic Schrödinger operator. Zbl 0753.35021Birman, M. Sh.; Raǐkov, G. D. 6 1991 The nuclear method in potential scattering theory. Zbl 0734.47003Birman, M. Sh.; Yafaev, D. R. 3 1991 The estimates for the number of negative bound states of the Schrödinger operator for large coupling constants. Zbl 0748.35021Birman, M. S.; Solomyak, M. Z. 1 1991 The self-adjoint Maxwell operator in arbitrary domains. Zbl 0733.35099Birman, M. Sh.; Solomyak, M. Z. 15 1990 Discrete spectrum in the gaps of the continuous one in the large- coupling-constant limit. Zbl 0773.35047Birman, M. S. 8 1990 Construction in a piecewise smooth domain of a function of the class \(H^ 2\) from the value of the conormal derivative. Zbl 0696.46039Birman, M. Sh.; Solomyak, M. Z. 6 1990 Negative discrete spectrum of the Schrödinger operator with large coupling constant: A qualitative discussion. Zbl 0746.35024Birman, M. S.; Solomyak, M. Z. 3 1990 Operator integration, perturbations and commutators. Zbl 0709.47022Birman, M. Sh.; Solomyak, M. Z. 18 1989 Estimates of difference of fractional powers of selfadjoint operators in case of unbounded perturbations. Zbl 0709.47004Birman, M. Sh.; Solomyak, M. Z. 5 1989 Estimates for the difference of fractional powers of selfadjoint operators in the case of unbounded perturbations. Zbl 0784.47011Birman, M. Sh.; Solomyak, M. Z. 3 1989 Operator integration, perturbations, and commutators. Zbl 0784.47033Birman, M. Sh.; Solomyak, M. Z. 2 1989 On the nuclear method in the theory of potential scattering. Zbl 0725.47009Birman, M. Sh.; Yafaev, D. R. 1 1989 Spectral theory of self-adjoint operators in Hilbert space. Translation from the 1980 Russian original by S. Khrushchëv and V. Peller. (Спектральная теория самосопряженных операторов в гильбертовом пространстве.) Zbl 0744.47017Birman, M. S.; Solomyak, M. Z. 148 1987 \(L_ 2\)-theory of the Maxwell operator in arbitrary domains. Zbl 0653.35075Birman, M. Sh.; Solomyak, M. Z. 96 1987 Maxwell operator in regions with nonsmooth boundaries. Zbl 0655.35067Birman, M. Sh.; Solomyak, M. Z. 13 1987 The Weyl asymptotics of the spectrum of the Maxwell operator for domains with a Lipschitz boundary. Zbl 0639.35062Birman, M. Sh.; Solomyak, M. Z. 12 1987 The Maxwell operator in domains with edges. Zbl 0642.35071Birman, M. Sh. 3 1987 Construction of a function of class \(H^ 2\) with given conormal derivative in a piecewise smooth domain. Zbl 0677.46042Birman, M. Sh.; Solomyak, M. Z. 2 1987 Asymptotics of the spectrum of pseudodifferential variational problems with restrictions. Zbl 0602.35086Birman, M. S.; Solomyak, M. Z. 5 1986 The Maxwell operator for a resonator with inward edges. Zbl 0621.35016Birman, M. Sh. 2 1986 Application of interpolation methods to estimates of the spectrum of integral operators. Zbl 0606.46047Birman, M. Sh.; Solomyak, M. Z. 1 1985 Asymptotic behavior of the spectrum of variational problems on the solutions of elliptic systems. Zbl 0562.35064Birman, M. Sh.; Solomyak, M. Z. 1 1985 Asymptotic behavior of the spectrum of the scattering matrix. Zbl 0531.35062Birman, M. Sh.; Yafaev, D. R. 11 1984 Compact operators whose singular numbers have powerlike asymptotics. Zbl 0546.47010Birman, M. Sh.; Solomyak, M. Z. 1 1984 Compact operators with the power asymptotics of singular numbers. Zbl 0518.47014Birman, M. Sh.; Solomyak, M. Z. 5 1983 On subspaces admitting a pseudodifferential projector. Zbl 0484.35085Birman, M. Sh.; Solomyak, M. Z. 11 1982 Asymptotics of the spectrum of variational problems on solutions of elliptic systems. Zbl 0501.35065Birman, M. Sh.; Solomyak, M. Z. 3 1982 Asymptotics of the spectrum of pseudodifferential operators with anisotropic-homogeneous symbols. Zbl 0492.47027Birman, M. Sh.; Solomyak, M. Z. 2 1982 Asymptotics of the spectrum of variational problems on solutions of elliptic equations in unbounded domains. Zbl 0463.35061Birman, M. Sh.; Solomyak, M. Z. 7 1981 The asymptotics of the spectrum of the scattering matrix. Zbl 0501.35064Birman, M. Sh.; Yafaev, D. R. 7 1981 Quantitative analysis in Sobolev imbedding theorems and applications to spectral theory. Transl. from the Russian by F. A. Cezus. Ed. by Lev J. Leifman. Zbl 0426.46020Birman, M. Sh.; Solomyak, M. Z. 50 1980 The asymptotics of the spectrum of pseudodifferential operators with anisotropic-homogeneous symbols. II. Zbl 0461.47025Birman, M. Sh.; Solomyak, M. Z. 1 1980 Asymptotic behavior of the spectrum of differential equations. Zbl 0424.35069Birman, M. Sh.; Solomyak, M. Z. 22 1979 Asymptotics of the spectrum of variational problems on solutions of elliptic equations. Zbl 0427.35050Birman, M. Sh.; Solomyak, M. Z. 15 1979 The asymptotics of the spectrum of pseudo-differential operators with anisotropic-homogeneous symbols. II. Zbl 0439.47040Birman, M. Sh.; Solomyak, M. Z. 15 1979 Product of commuting spectral measures need not be countably additive. Zbl 0423.28008Birman, M. Sh.; Vershik, A. M.; Solomyak, M. Z. 9 1979 The asymptotic behavior of the spectrum of ellliptic variational problems with differential constraints. Zbl 0498.35064Birman, M. Sh.; Solomyak, M. Z. 2 1978 Estimates for the singular values of integral operators. Zbl 0344.47021Birman, M. Sh.; Solomyak, M. Z. 47 1977 Asymptotic behavior of the spectrum of pseudodifferential operators with anisotropically homogeneous symbols. Zbl 0377.47033Birman, M. Sh.; Solomyak, M. Z. 31 1977 Estimates of singular numbers of integral operators. Zbl 0376.47023Birman, M. Sh.; Solomyak, M. Z. 30 1977 Variational formulation of the problem of oscillations of a resonator filled with stratified anisotropic medium. Zbl 0357.49029Alekseev, A. B.; Birman, M. S. 2 1977 ...and 60 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 966 Authors 47 Sukochev, Fedor Anatol’evich 44 Nazarov, Sergeĭ Aleksandrovich 35 Suslina, Tat’yana Aleksandrovna 34 Solomyak, Mikhaĭl Zakharovich 31 Peller, Vladimir Vsevolodovich 30 Birman, Mikhail Shlëmovich 22 Pushnitski, Alexander B. 21 Yafaev, Dimitri R. 19 Gesztesy, Fritz 18 Aleksandrov, Aleksei B. 18 Frank, Rupert L. 18 Sobolev, Alexander V. 18 Zanin, Dmitriy V. 16 Potapov, Denis 14 Laptev, Ari 14 Pastukhova, Svetlana Evgenievna 13 Neidhardt, Hagen 12 Malamud, Mark M. 12 Pesenson, Isaac Zalmanovich 10 Borisov, Denis Ivanovich 10 Cardone, Giuseppe 10 Carey, Alan L. 10 Simon, Barry 10 Skripka, Anna 9 Rozenblum, Grigori V. 9 Taskinen, Jari 8 Behrndt, Jussi 8 Ciarlet, Patrick jun. 8 Duan, Huoyuan 8 Kostrykin, Vadim V. 8 Makarov, Konstantin A. 8 Raikov, Georgi D. 8 Sloushch, Vladimir Anatolevich 8 Toft, Joachim 7 Agranovich, Mikhail Semënovich 7 Cherednichenko, Kirill D. 7 Danilov, Leonid Ivanovich 7 Galaktionov, Victor Aleksandrovich 7 Kovařík, Hynek 7 Kuchment, Peter A. 7 McDonald, Edward Andrew 7 Naboko, Serguei N. 7 Safronov, Oleg 7 Vasil’eva, Anastasiya Andreevna 7 Zou, Jun 6 Azamov, Nurulla A. 6 Belishev, Mikhail Igorevitch 6 Coine, Clement 6 Dostanić, Milutin R. 6 Grubb, Gerd 6 Korotyaev, Evgeny L. 6 Melnikov, Yuri B. 6 Nazarov, Alexander I. 6 Nicaise, Serge 6 Tan, Roger C. E. 5 Costabel, Martin 5 Dauge, Monique 5 Dorodnyi, M. A. 5 Ekholm, Tomas 5 Farforovskaya, Yuliya B. 5 Filonov, Nikolai D. 5 Jocić, Danko R. 5 Klopp, Frédéric 5 Le Merdy, Christian 5 Levendorskiĭ, Sergeĭ Zakharovich 5 Levitina, Galina Borisovna 5 Nazaikinskii, Vladimir E. 5 Nazarov, Fedor L. 5 Shul’man, Viktor Semënovich 5 Tamura, Hideo 5 Tomskova, Anna 5 Weidl, Timo 5 Zakora, Dmitriĭ Aleksandrovich 4 Bakharev, Fedor L’vovich 4 Boĭmatov, Kamoliddin Khamroevich 4 Buffa, Annalisa 4 Chattopadhyay, Arup 4 Chen, Junqing 4 Dobrokhotov, Sergei Yurievich 4 Faierman, Melvin 4 Hiptmair, Ralf 4 Hislop, Peter D. 4 Karuhanga, Martin 4 Kiselev, Alexander V. 4 Lotoreichik, Vladimir 4 Maz’ya, Vladimir Gilelevich 4 Plamenevskiĭ, Boris Alekseevich 4 Posilicano, Andrea 4 Ruotsalainen, Keijo Matti 4 Saburova, Natalia 4 Schechter, Martin 4 Schrader, Robert 4 Shargorodsky, Eugene 4 Simonov, Sergey A. 4 Todorov, Ivan G. 4 Triebel, Hans 4 Turowska, Lyudmila B. 4 Turuntaeva, Irina V. 3 Anikin, A. 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