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Birman, Mikhail Shlëmovich

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Author ID: birman.mikhail-shlemovich Recent zbMATH articles by "Birman, Mikhail Shlëmovich"
Published as: Birman, M. Sh.; Birman, M. S.; Birman, M. Š.; Birman, Michael Sh.; Birman, Mikhail Sh.; Birman, Mikhail S.; Birman, Michael; Birman, M.
Further Spellings: Бирман Михаил Шлёмович
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
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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

Publications by Year

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 0744.47017
Birman, M. S.; Solomyak, M. Z.
148
1987
\(L_ 2\)-theory of the Maxwell operator in arbitrary domains. Zbl 0653.35075
Birman, M. Sh.; Solomyak, M. Z.
96
1987
Piecewise-polynomial approximations of functions of the class \(W_p^\alpha\). Zbl 0173.16001
Birman, M. Sh.; Solomyak, M. Z.
91
1967
Double operator integrals in a Hilbert space. Zbl 1054.47030
Birman, Mikhail Sh.; Solomyak, Michael
65
2003
Double Stieltjes operator integrals. II. Zbl 0182.46202
Birman, M. Sh.; Solomyak, M. Z.
60
1967
Second order periodic differential operators. Threshold properties and homogenization. Zbl 1072.47042
Birman, 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 0426.46020
Birman, M. Sh.; Solomyak, M. Z.
50
1980
Double Stieltjes operator integrals. Zbl 0161.34602
Birman, M. Sh.; Solomyak, M. Z.
48
1966
Estimates for the singular values of integral operators. Zbl 0344.47021
Birman, M. Sh.; Solomyak, M. Z.
47
1977
The spectrum of singular boundary problems. Zbl 0174.42502
Birman, M. Sh.
37
1966
Homogenization with corrector term for periodic elliptic differential operators. Zbl 1175.35007
Birman, M. Sh.; Suslina, T. A.
37
2006
On the theory of wave operators and scattering operators. Zbl 0196.45004
Birman, M. Sh.; Kreĭn, M. G.
35
1962
Estimates for the number of negative eigenvalues of the Schrödinger operator and its generalization. Zbl 0749.35026
Birman, M. Sh.; Solomyak, M. Z.
32
1991
The spectral shift function. The work of M. G. Krejn and its further development. Zbl 0791.47013
Birman, M. Sh.; Yafaev, D. R.
31
1992
Asymptotic behavior of the spectrum of pseudodifferential operators with anisotropically homogeneous symbols. Zbl 0377.47033
Birman, M. Sh.; Solomyak, M. Z.
31
1977
Estimates of singular numbers of integral operators. Zbl 0376.47023
Birman, M. Sh.; Solomyak, M. Z.
30
1977
Double Stieltjes operator integrals. III: Limit under the integral sign. Zbl 0281.47013
Birman, M. Sh.; Solomyak, M. Z.
30
1973
Threshold effects near the lower edge of the spectrum for periodic differential operators of mathematical physics. Zbl 1032.35145
Birman, Michael; Suslina, Tatyana
28
2001
The negative discrete spectrum of a two-dimensional Schrödinger operator. Zbl 0864.35080
Birman, M. Sh.; Laptev, A.
27
1996
Spectral asymptotics of nonsmooth elliptic operators. I. Zbl 0251.35075
Birman, M. Sh.; Solomyak, M. Z.
27
1972
Estimates of the spectrum of a difference of fractional powers of selfadjoint operators. Zbl 0313.47020
Birman, M. Sh.; Koplienko, L. S.; Solomyak, M. Z.
26
1975
Periodic magnetic Hamiltonian with variable metric. The problem of absolute continuity. Zbl 0941.35015
Birman, M. Sh.; Suslina, T. A.
25
1999
Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant. Zbl 0754.35025
Birman, M. Sh.
25
1991
Remarks on the spectral shift function. Zbl 0329.47009
Birman, M. Sh.; Solomyak, M. Z.
24
1972
Remarks on the spectral shift function. Zbl 0336.47017
Birman, M. Sh.; Solomyak, M. Z.
24
1975
The stationary method in the abstract theory of scattering. Zbl 0173.16501
Birman, M. Sh.; Èntina, S. B.
23
1967
Boundedness conditions and spectrum estimates for the operators \(b (X) a (D)\) and their analogs. Zbl 0768.47025
Birman, M. Sh.; Karadzhov, G. E.; Solomyak, M. Z.
23
1991
Asymptotic behavior of the spectrum of differential equations. Zbl 0424.35069
Birman, M. Sh.; Solomyak, M. Z.
22
1979
Schrödinger operator. Estimates for number of bound states as function- theoretical problem. Zbl 0756.35057
Birman, M. S.; Solomyak, M. Z.
22
1992
Spectral shift function, amazing and multifaceted. Zbl 0907.47014
Birman, 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 1153.35012
Birman, M. Sh.; Suslina, T. A.
18
2007
Operator integration, perturbations and commutators. Zbl 0709.47022
Birman, M. Sh.; Solomyak, M. Z.
18
1989
Discrete spectrum in the gaps of a perturbed periodic Schrödinger operator. II: Nonregular perturbations. Zbl 0911.35082
Birman, M. Sh.
17
1997
Tensor product of a finite number of spectral measures is always a spectral measure. Zbl 0844.47013
Birman, M.; Solomyak, M.
16
1996
Asymptotic behavior of the spectrum of weakly polar integral operators. Zbl 0261.47027
Birman, M. Sh.; Solomyak, M. Z.
16
1971
Asymptotics of the spectrum of variational problems on solutions of elliptic equations. Zbl 0427.35050
Birman, M. Sh.; Solomyak, M. Z.
15
1979
The asymptotics of the spectrum of pseudo-differential operators with anisotropic-homogeneous symbols. II. Zbl 0439.47040
Birman, M. Sh.; Solomyak, M. Z.
15
1979
The self-adjoint Maxwell operator in arbitrary domains. Zbl 0733.35099
Birman, M. Sh.; Solomyak, M. Z.
15
1990
The discrete spectrum in the gaps of a second-order perturbed periodic operator. Zbl 0733.35083
Birman, M. Sh.
14
1991
Discrete spectrum of the perturbed Dirac operator. Zbl 0822.35104
Birman, 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 0998.35006
Birman, M. Sh.; Shterenberg, R. G.; Suslina, T. A.
13
2001
Maxwell operator in regions with nonsmooth boundaries. Zbl 0655.35067
Birman, M. Sh.; Solomyak, M. Z.
13
1987
Two-dimensional periodic magnetic Hamiltonian is absolutely continuous. Zbl 0890.35096
Birman, M. Sh.; Suslina, T. A.
12
1997
The periodic Dirac operator is absolutely continuous. Zbl 0937.35032
Birman, M. Sh.; Suslina, T. A.
12
1999
The Weyl asymptotics of the spectrum of the Maxwell operator for domains with a Lipschitz boundary. Zbl 0639.35062
Birman, M. Sh.; Solomyak, M. Z.
12
1987
Absolute continuity of the two-dimensional periodic magnetic Hamiltonian with discontinuous vector-valued potential. Zbl 0922.35101
Birman, M. Sh.; Sulina, T. A.
12
1998
Two-dimensional periodic Pauli operator. The effective masses at the lower edge of the spectrum. Zbl 0976.81005
Birman, M. Sh.; Suslina, T. A.
11
1999
The discrete spectrum in gaps of the perturbed periodic Schrödinger operator. I: Regular perturbations. Zbl 0848.47032
Birman, M. Sh.
11
1995
Leading term in the asymptotic spectral formula for ”nonsmooth” elliptic problems. Zbl 0225.35077
Birman, M. Sh.; Solomyak, M. Z.
11
1970
On subspaces admitting a pseudodifferential projector. Zbl 0484.35085
Birman, M. Sh.; Solomyak, M. Z.
11
1982
Asymptotic behavior of the spectrum of the scattering matrix. Zbl 0531.35062
Birman, M. Sh.; Yafaev, D. R.
11
1984
Discrete spectrum of the periodic Schrödinger operator perturbed by a decaying potential. Zbl 0853.35082
Birman, 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 1200.35196
Birman, M. Sh.; Solomyak, M.
10
2001
Threshold approximations with corrector for the resolvent of a factorized selfadjoint operator family. Zbl 1121.47031
Birman, M. Sh.; Suslina, T. A.
10
2006
Product of commuting spectral measures need not be countably additive. Zbl 0423.28008
Birman, 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 0426.46019
Birman, 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 0876.35079
Birman, Mikhail Sh.; Laptev, Ari; Solomyak, Michael
9
1997
On homogenization procedure for periodic operators near the edge of an internal gap. Zbl 1080.35051
Birman, M. Sh.
9
2004
A stationary approach in the abstract theory of scattering. Zbl 0116.32502
Birman, M. Sh.; Èntina, S. B.
9
1964
Scattering problems for differential operators with constant coefficients. Zbl 0196.16101
Birman, M. Sh.
9
1969
On the eigenvalue behaviour for a class of differential operators on the semiaxis. Zbl 0916.34067
Birman, M. Sh.; Laptev, A.; Solomyak, M.
9
1998
Spectral asymptotics of nonsmooth elliptic operators. II. Zbl 0281.35079
Birman, M. Sh.; Solomyak, M. Z.
8
1973
Discrete spectrum in the gaps of the continuous one in the large- coupling-constant limit. Zbl 0773.35047
Birman, M. S.
8
1990
Perturbations of the continuous spectrum of a singular elliptic operator by varying the boundary and the boundary conditions. Zbl 1184.35234
Birman, M. Sh.
8
2008
On the main singularities of the electric component of the electro- magnetic field in regions with screens. Zbl 0804.35127
Birman, M. Sh.; Solomyak, M. Z.
7
1993
Asymptotics of the spectrum of variational problems on solutions of elliptic equations in unbounded domains. Zbl 0463.35061
Birman, M. Sh.; Solomyak, M. Z.
7
1981
On the asymptotic spectrum of ”nonsmooth” elliptic equations. Zbl 0226.35072
Birman, M. Sh.; Solomyak, M. Z.
7
1971
Estimates of singular values of integral operators. III: Operators in unbounded domains. Zbl 0181.13601
Birman, M. Sh.; Solomyak, M. Z.
7
1969
A local criterion for the existence of wave operators. Zbl 0183.14104
Birman, M. Sh.
7
1969
Discrete spectrum of the periodic Schrödinger operator with a variable metric perturbed by a nonnegative potential. Zbl 1207.47041
Birman, M. Sh.; Sloushch, V. A.
7
2010
Operator error estimates in the homogenization problem for nonstationary periodic equations. Zbl 1206.35028
Birman, M. Sh.; Suslina, T. A.
7
2009
The asymptotics of the spectrum of the scattering matrix. Zbl 0501.35064
Birman, 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 1108.35008
Birman, 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 0128.33001
Birman, M. Sh.; Skvortsov, G. E.
6
1962
On the complete continuity of certain imbedding operators. (Über die Vollstetigkeit gewisser Einbettungsoperatoren.) Zbl 0134.11302
Birman, 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 0146.34403
Birman, M. Sh.
6
1961
Discrete spectrum in gaps for perturbations of the magnetic Schrödinger operator. Zbl 0753.35021
Birman, M. Sh.; Raǐkov, G. D.
6
1991
Homogenization of the stationary periodic Maxwell system in the case of constant permeability. Zbl 1253.35012
Birman, 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 0696.46039
Birman, M. Sh.; Solomyak, M. Z.
6
1990
Spectral properties of the scattering matrix. Zbl 0819.47009
Birman, M. Sh.; Yafaev, D. R.
5
1992
Scattering matrix for the perturbation of a periodic Schrödinger operator by a decaying potential. Zbl 0860.35088
Birman, M. Sh.; Yafaev, D. R.
5
1994
Equivalent renormings of \(W_p^r\) classes in the case of partitioning of the domain. Zbl 0269.46024
Birman, M. Sh.; Solomyak, M. Z.
5
1973
Asymptotics of the spectrum of pseudodifferential variational problems with restrictions. Zbl 0602.35086
Birman, M. S.; Solomyak, M. Z.
5
1986
The existence of wave operators in scattering theory for pairs of spaces. Zbl 0186.20803
Belopol’skij, A. L.; Birman, M. Sh.
5
1970
Estimates of difference of fractional powers of selfadjoint operators in case of unbounded perturbations. Zbl 0709.47004
Birman, M. Sh.; Solomyak, M. Z.
5
1989
Compact operators with the power asymptotics of singular numbers. Zbl 0518.47014
Birman, M. Sh.; Solomyak, M. Z.
5
1983
A general scheme in the stationary scattering theory. Zbl 0818.35073
Birman, M. Sh.; Yafaev, D. R.
4
1993
The discrete spectrum in a gap of the continuous one for compact supported perturbations. Zbl 0824.35090
Birman, M. Sh.; Weidl, T.
4
1994
Discrete spectrum of the perturbed Dirac operator. Zbl 0858.47004
Birman, M. Sh.; Laptev, A.
4
1994
Spectral asymptotics of nonsmooth elliptic operators. Zbl 0264.35056
Birman, M. Sh.; Solomyak, M. Z.
4
1972
Über das Spektrum von singulären Randwertaufgaben. Zbl 0104.32601
Birman, M. Sh.
4
1961
Ein lokales Kriterium der Existenz von Wellenoperatoren. Zbl 0169.16903
Birman, M. Sh.
4
1968
Estimates of singular values of integral operators. II. Zbl 0177.18802
Birman, M. Sh.; Solomyak, M. Z.
4
1967
Existing conditions for wave operators. Zbl 0178.50203
Birman, M. Sh.
4
1966
Remarks on the nuclearity of integral operators and the boundedness of pseudodifferential operators. Zbl 0187.08501
Birman, M. Sh.; Solomyak, M. Z.
4
1969
Weyl asymptotic of the spectrum of the Maxwell operator with non-smooth coefficients in Lipschitz domains. Zbl 1260.35096
Birman, M. Sh.; Filonov, N. D.
4
2007
On the absolute continuity of the periodic Schrödinger and Dirac operators with magnetic potential. Zbl 1056.81507
Birman, 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 0784.47011
Birman, M. Sh.; Solomyak, M. Z.
3
1989
Spectral asymptotics of nonsmooth elliptic operators. II. Zbl 0296.35066
Birman, 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 1336.47023
Birman, M. Sh.
2
2016
Discrete spectrum of the periodic Schrödinger operator with a variable metric perturbed by a nonnegative potential. Zbl 1207.47041
Birman, M. Sh.; Sloushch, V. A.
7
2010
Operator error estimates in the homogenization problem for nonstationary periodic equations. Zbl 1206.35028
Birman, M. Sh.; Suslina, T. A.
7
2009
Two-sided estimates for the trace of the difference of two semigroups. Zbl 1271.47035
Birman, M. Sh.; Sloushch, V. A.
2
2009
Homogenization of periodic differential operators as a spectral threshold effect. Zbl 1179.35046
Birman, 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 1184.35234
Birman, M. Sh.
8
2008
The limit absorption principle and homogenization procedure for periodic elliptic operators. Zbl 1177.35027
Birman, 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 1153.35012
Birman, M. Sh.; Suslina, T. A.
18
2007
Homogenization of the stationary periodic Maxwell system in the case of constant permeability. Zbl 1253.35012
Birman, M. Sh.; Suslina, T. A.
6
2007
Weyl asymptotic of the spectrum of the Maxwell operator with non-smooth coefficients in Lipschitz domains. Zbl 1260.35096
Birman, M. Sh.; Filonov, N. D.
4
2007
Homogenization with corrector term for periodic elliptic differential operators. Zbl 1175.35007
Birman, M. Sh.; Suslina, T. A.
37
2006
Threshold approximations with corrector for the resolvent of a factorized selfadjoint operator family. Zbl 1121.47031
Birman, M. Sh.; Suslina, T. A.
10
2006
Second order periodic differential operators. Threshold properties and homogenization. Zbl 1072.47042
Birman, M. Sh.; Suslina, T. A.
58
2004
On homogenization procedure for periodic operators near the edge of an internal gap. Zbl 1080.35051
Birman, M. Sh.
9
2004
Homogenization of a multidimensional periodic elliptic operator in a neighborhood of an edge of an inner gap. Zbl 1108.35008
Birman, M. Sh.; Suslina, T. A.
6
2004
Ol’ga Aleksandrovna Ladyzhenskaya (obituary). Zbl 1062.01503
Arnol’d, V. I.; Birman, M. Sh.; Vershik, A. M.; et al.
2
2004
Double operator integrals in a Hilbert space. Zbl 1054.47030
Birman, 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 1046.74007
Birman, 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 1032.35145
Birman, 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 0998.35006
Birman, 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 1200.35196
Birman, 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 1070.47041
Birman, M. Sh.; Laptev, A.; Suslina, T. A.
2
2001
Mikhail Semenovich Agranovich (on his 70th birthday). Zbl 1017.01503
Amosov, 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 1056.81507
Birman, M. Sh.; Suslina, T. A.
4
2000
Periodic magnetic Hamiltonian with variable metric. The problem of absolute continuity. Zbl 0941.35015
Birman, M. Sh.; Suslina, T. A.
25
1999
The periodic Dirac operator is absolutely continuous. Zbl 0937.35032
Birman, M. Sh.; Suslina, T. A.
12
1999
Two-dimensional periodic Pauli operator. The effective masses at the lower edge of the spectrum. Zbl 0976.81005
Birman, M. Sh.; Suslina, T. A.
11
1999
Spectral shift function, amazing and multifaceted. Zbl 0907.47014
Birman, M. Sh.; Pushnitski, A. B.
18
1998
Absolute continuity of the two-dimensional periodic magnetic Hamiltonian with discontinuous vector-valued potential. Zbl 0922.35101
Birman, M. Sh.; Sulina, T. A.
12
1998
On the eigenvalue behaviour for a class of differential operators on the semiaxis. Zbl 0916.34067
Birman, M. Sh.; Laptev, A.; Solomyak, M.
9
1998
Discrete spectrum in the gaps of a perturbed periodic Schrödinger operator. II: Nonregular perturbations. Zbl 0911.35082
Birman, M. Sh.
17
1997
Two-dimensional periodic magnetic Hamiltonian is absolutely continuous. Zbl 0890.35096
Birman, 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 0876.35079
Birman, Mikhail Sh.; Laptev, Ari; Solomyak, Michael
9
1997
Discrete spectrum in the gaps of a perturbed pseudorelativistic Hamiltonian. Zbl 0966.83005
Birman, M. Sh.; Pushnitskii, A. B.
2
1997
“Non-standard” spectral asymptotics for a two-dimensional Schrödinger operator. Zbl 0910.35086
Birman, Mikhail Sh.; Laptev, Ari
1
1997
The negative discrete spectrum of a two-dimensional Schrödinger operator. Zbl 0864.35080
Birman, M. Sh.; Laptev, A.
27
1996
Tensor product of a finite number of spectral measures is always a spectral measure. Zbl 0844.47013
Birman, M.; Solomyak, M.
16
1996
Discrete spectrum of the periodic Schrödinger operator perturbed by a decaying potential. Zbl 0853.35082
Birman, M. Sh.
11
1996
Discrete spectrum of the periodic Schrödinger operator perturbed by a decaying potential. Zbl 0866.35087
Birman, M. Sh.
1
1996
The discrete spectrum in gaps of the perturbed periodic Schrödinger operator. I: Regular perturbations. Zbl 0848.47032
Birman, M. Sh.
11
1995
Discrete spectrum of the perturbed Dirac operator. Zbl 0822.35104
Birman, Mikhail Sh.; Laptev, Ari
13
1994
Scattering matrix for the perturbation of a periodic Schrödinger operator by a decaying potential. Zbl 0860.35088
Birman, M. Sh.; Yafaev, D. R.
5
1994
The discrete spectrum in a gap of the continuous one for compact supported perturbations. Zbl 0824.35090
Birman, M. Sh.; Weidl, T.
4
1994
Discrete spectrum of the perturbed Dirac operator. Zbl 0858.47004
Birman, M. Sh.; Laptev, A.
4
1994
Discrete spectrum of the periodic Schrödinger operator for non-negative perturbations. Zbl 0828.34075
Birman, M. Sh.
2
1994
Discrete spectrum of the periodic elliptic operator with a differential perturbation. Zbl 0875.35062
Birman, M. Sh.
1
1994
Ilya Bakelman 1928-1992 in Russia. Zbl 0879.01029
Birman, Mikhail S.
1
1994
On the main singularities of the electric component of the electro- magnetic field in regions with screens. Zbl 0804.35127
Birman, M. Sh.; Solomyak, M. Z.
7
1993
A general scheme in the stationary scattering theory. Zbl 0818.35073
Birman, M. Sh.; Yafaev, D. R.
4
1993
The spectral shift function. The work of M. G. Krejn and its further development. Zbl 0791.47013
Birman, M. Sh.; Yafaev, D. R.
31
1992
Schrödinger operator. Estimates for number of bound states as function- theoretical problem. Zbl 0756.35057
Birman, M. S.; Solomyak, M. Z.
22
1992
Spectral properties of the scattering matrix. Zbl 0819.47009
Birman, M. Sh.; Yafaev, D. R.
5
1992
Three problems in the mechanics of continua in polyhedra. Zbl 0836.35148
Birman, M. Sh.
1
1992
Estimates for the number of negative eigenvalues of the Schrödinger operator and its generalization. Zbl 0749.35026
Birman, M. Sh.; Solomyak, M. Z.
32
1991
Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant. Zbl 0754.35025
Birman, M. Sh.
25
1991
Boundedness conditions and spectrum estimates for the operators \(b (X) a (D)\) and their analogs. Zbl 0768.47025
Birman, M. Sh.; Karadzhov, G. E.; Solomyak, M. Z.
23
1991
The discrete spectrum in the gaps of a second-order perturbed periodic operator. Zbl 0733.35083
Birman, M. Sh.
14
1991
Discrete spectrum in gaps for perturbations of the magnetic Schrödinger operator. Zbl 0753.35021
Birman, M. Sh.; Raǐkov, G. D.
6
1991
The nuclear method in potential scattering theory. Zbl 0734.47003
Birman, 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 0748.35021
Birman, M. S.; Solomyak, M. Z.
1
1991
The self-adjoint Maxwell operator in arbitrary domains. Zbl 0733.35099
Birman, M. Sh.; Solomyak, M. Z.
15
1990
Discrete spectrum in the gaps of the continuous one in the large- coupling-constant limit. Zbl 0773.35047
Birman, 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 0696.46039
Birman, M. Sh.; Solomyak, M. Z.
6
1990
Negative discrete spectrum of the Schrödinger operator with large coupling constant: A qualitative discussion. Zbl 0746.35024
Birman, M. S.; Solomyak, M. Z.
3
1990
Operator integration, perturbations and commutators. Zbl 0709.47022
Birman, M. Sh.; Solomyak, M. Z.
18
1989
Estimates of difference of fractional powers of selfadjoint operators in case of unbounded perturbations. Zbl 0709.47004
Birman, M. Sh.; Solomyak, M. Z.
5
1989
Estimates for the difference of fractional powers of selfadjoint operators in the case of unbounded perturbations. Zbl 0784.47011
Birman, M. Sh.; Solomyak, M. Z.
3
1989
Operator integration, perturbations, and commutators. Zbl 0784.47033
Birman, M. Sh.; Solomyak, M. Z.
2
1989
On the nuclear method in the theory of potential scattering. Zbl 0725.47009
Birman, 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 0744.47017
Birman, M. S.; Solomyak, M. Z.
148
1987
\(L_ 2\)-theory of the Maxwell operator in arbitrary domains. Zbl 0653.35075
Birman, M. Sh.; Solomyak, M. Z.
96
1987
Maxwell operator in regions with nonsmooth boundaries. Zbl 0655.35067
Birman, M. Sh.; Solomyak, M. Z.
13
1987
The Weyl asymptotics of the spectrum of the Maxwell operator for domains with a Lipschitz boundary. Zbl 0639.35062
Birman, M. Sh.; Solomyak, M. Z.
12
1987
The Maxwell operator in domains with edges. Zbl 0642.35071
Birman, M. Sh.
3
1987
Construction of a function of class \(H^ 2\) with given conormal derivative in a piecewise smooth domain. Zbl 0677.46042
Birman, M. Sh.; Solomyak, M. Z.
2
1987
Asymptotics of the spectrum of pseudodifferential variational problems with restrictions. Zbl 0602.35086
Birman, M. S.; Solomyak, M. Z.
5
1986
The Maxwell operator for a resonator with inward edges. Zbl 0621.35016
Birman, M. Sh.
2
1986
Application of interpolation methods to estimates of the spectrum of integral operators. Zbl 0606.46047
Birman, M. Sh.; Solomyak, M. Z.
1
1985
Asymptotic behavior of the spectrum of variational problems on the solutions of elliptic systems. Zbl 0562.35064
Birman, M. Sh.; Solomyak, M. Z.
1
1985
Asymptotic behavior of the spectrum of the scattering matrix. Zbl 0531.35062
Birman, M. Sh.; Yafaev, D. R.
11
1984
Compact operators whose singular numbers have powerlike asymptotics. Zbl 0546.47010
Birman, M. Sh.; Solomyak, M. Z.
1
1984
Compact operators with the power asymptotics of singular numbers. Zbl 0518.47014
Birman, M. Sh.; Solomyak, M. Z.
5
1983
On subspaces admitting a pseudodifferential projector. Zbl 0484.35085
Birman, M. Sh.; Solomyak, M. Z.
11
1982
Asymptotics of the spectrum of variational problems on solutions of elliptic systems. Zbl 0501.35065
Birman, M. Sh.; Solomyak, M. Z.
3
1982
Asymptotics of the spectrum of pseudodifferential operators with anisotropic-homogeneous symbols. Zbl 0492.47027
Birman, M. Sh.; Solomyak, M. Z.
2
1982
Asymptotics of the spectrum of variational problems on solutions of elliptic equations in unbounded domains. Zbl 0463.35061
Birman, M. Sh.; Solomyak, M. Z.
7
1981
The asymptotics of the spectrum of the scattering matrix. Zbl 0501.35064
Birman, 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 0426.46020
Birman, M. Sh.; Solomyak, M. Z.
50
1980
The asymptotics of the spectrum of pseudodifferential operators with anisotropic-homogeneous symbols. II. Zbl 0461.47025
Birman, M. Sh.; Solomyak, M. Z.
1
1980
Asymptotic behavior of the spectrum of differential equations. Zbl 0424.35069
Birman, M. Sh.; Solomyak, M. Z.
22
1979
Asymptotics of the spectrum of variational problems on solutions of elliptic equations. Zbl 0427.35050
Birman, M. Sh.; Solomyak, M. Z.
15
1979
The asymptotics of the spectrum of pseudo-differential operators with anisotropic-homogeneous symbols. II. Zbl 0439.47040
Birman, M. Sh.; Solomyak, M. Z.
15
1979
Product of commuting spectral measures need not be countably additive. Zbl 0423.28008
Birman, M. Sh.; Vershik, A. M.; Solomyak, M. Z.
9
1979
The asymptotic behavior of the spectrum of ellliptic variational problems with differential constraints. Zbl 0498.35064
Birman, M. Sh.; Solomyak, M. Z.
2
1978
Estimates for the singular values of integral operators. Zbl 0344.47021
Birman, M. Sh.; Solomyak, M. Z.
47
1977
Asymptotic behavior of the spectrum of pseudodifferential operators with anisotropically homogeneous symbols. Zbl 0377.47033
Birman, M. Sh.; Solomyak, M. Z.
31
1977
Estimates of singular numbers of integral operators. Zbl 0376.47023
Birman, M. Sh.; Solomyak, M. Z.
30
1977
Variational formulation of the problem of oscillations of a resonator filled with stratified anisotropic medium. Zbl 0357.49029
Alekseev, A. B.; Birman, M. S.
2
1977
...and 60 more Documents
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. Yu.
3 Assous, Franck
...and 866 more Authors
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Cited in 223 Serials

90 Journal of Functional Analysis
67 St. Petersburg Mathematical Journal
60 Journal of Mathematical Sciences (New York)
40 Journal of Soviet Mathematics
36 Journal of Mathematical Analysis and Applications
35 Communications in Mathematical Physics
35 Functional Analysis and its Applications
32 Journal of Mathematical Physics
29 Integral Equations and Operator Theory
27 Mathematical Notes
22 Advances in Mathematics
21 Journal of Differential Equations
19 Journal of Spectral Theory
16 Siberian Mathematical Journal
14 Transactions of the American Mathematical Society
13 Proceedings of the American Mathematical Society
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Reviews in Mathematical Physics
11 Annales de l’Institut Henri Poincaré. Physique Théorique
11 Russian Journal of Mathematical Physics
10 The Annals of Statistics
10 Linear Algebra and its Applications
10 Sbornik: Mathematics
10 Annales Henri Poincaré
9 Ukrainian Mathematical Journal
9 Duke Mathematical Journal
9 Journal of Approximation Theory
9 Communications in Partial Differential Equations
8 Journal d’Analyse Mathématique
8 Journal of Statistical Physics
8 Numerische Mathematik
7 Archive for Rational Mechanics and Analysis
7 Arkiv för Matematik
7 Mathematische Annalen
7 Mathematische Nachrichten
7 Journal of Complexity
7 Mathematical Physics, Analysis and Geometry
6 Mathematical Methods in the Applied Sciences
6 Mathematics of Computation
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 SIAM Journal on Numerical Analysis
6 Revista Matemática Complutense
6 Differential Equations
5 Annales de l’Institut Fourier
5 Journal of Computational and Applied Mathematics
5 Mathematische Zeitschrift
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Computational Mathematics and Mathematical Physics
5 Journal of the European Mathematical Society (JEMS)
5 Proceedings of the Japan Academy
5 Proceedings of the Steklov Institute of Mathematics
5 Bulletin of Mathematical Sciences
4 Computers & Mathematics with Applications
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Inventiones Mathematicae
4 Applied and Computational Harmonic Analysis
4 The Journal of Fourier Analysis and Applications
4 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet
3 Letters in Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 Theoretical and Mathematical Physics
3 Acta Mathematica
3 Tôhoku Mathematical Journal. Second Series
3 Annals of Global Analysis and Geometry
3 Applied Numerical Mathematics
3 Constructive Approximation
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 SIAM Journal on Mathematical Analysis
3 Bulletin of the American Mathematical Society. New Series
3 Calculus of Variations and Partial Differential Equations
3 Bernoulli
3 Izvestiya: Mathematics
3 Communications in Contemporary Mathematics
3 Foundations of Computational Mathematics
3 Analysis and Applications (Singapore)
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Electronic Journal of Statistics
2 Applicable Analysis
2 Computer Methods in Applied Mechanics and Engineering
2 Israel Journal of Mathematics
2 Journal of Computational Physics
2 Russian Mathematical Surveys
2 Journal of Geometry and Physics
2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Mathematika
2 Memoirs of the American Mathematical Society
2 Monatshefte für Mathematik
2 Transactions of the Moscow Mathematical Society
2 Systems & Control Letters
2 Zeitschrift für Analysis und ihre Anwendungen
2 Statistics & Probability Letters
2 Probability Theory and Related Fields
2 Journal of Theoretical Probability
2 Journal of Scientific Computing
2 The Journal of Geometric Analysis
2 Journal of Elasticity
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
...and 123 more Serials
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Cited in 51 Fields

558 Partial differential equations (35-XX)
497 Operator theory (47-XX)
157 Quantum theory (81-XX)
126 Functional analysis (46-XX)
89 Optics, electromagnetic theory (78-XX)
71 Numerical analysis (65-XX)
63 Ordinary differential equations (34-XX)
57 Approximations and expansions (41-XX)
51 Global analysis, analysis on manifolds (58-XX)
45 Mechanics of deformable solids (74-XX)
43 Harmonic analysis on Euclidean spaces (42-XX)
40 Statistical mechanics, structure of matter (82-XX)
32 Integral equations (45-XX)
32 Probability theory and stochastic processes (60-XX)
29 Statistics (62-XX)
29 Fluid mechanics (76-XX)
22 Real functions (26-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
14 Combinatorics (05-XX)
12 Information and communication theory, circuits (94-XX)
11 Functions of a complex variable (30-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Integral transforms, operational calculus (44-XX)
10 Computer science (68-XX)
10 Systems theory; control (93-XX)
9 Potential theory (31-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Abstract harmonic analysis (43-XX)
8 Difference and functional equations (39-XX)
8 Differential geometry (53-XX)
7 Mechanics of particles and systems (70-XX)
5 History and biography (01-XX)
5 Topological groups, Lie groups (22-XX)
5 Measure and integration (28-XX)
4 \(K\)-theory (19-XX)
4 Special functions (33-XX)
4 Relativity and gravitational theory (83-XX)
3 Algebraic geometry (14-XX)
3 Geophysics (86-XX)
2 Number theory (11-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Manifolds and cell complexes (57-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Biology and other natural sciences (92-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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