M. Sh. Birman

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All published works
Action Title Year Authors
+ A simple embedding theorem for kernels of trace class integral operators in $L^2(\mathbb {R}^m)$. Application to the Fredholm trace formula 2016 M. Sh. Birman
+ PDF Chat Discrete Spectrum of the Periodic Schrödinger Operator with a Variable Metric Perturbed by a Nonnegative Potential 2010 M. Sh. Birman
V. A. Sloushch
+ PDF Chat Operator error estimates in the homogenization problem for nonstationary periodic equations 2009 M. Sh. Birman
T. A. Suslina
+ Two-sided estimates for the trace of the difference of two semigroups 2009 M. Sh. Birman
V. A. Sloushch
+ PDF Chat Spectrum asymptotics for one ``nonsmooth'' variational problem with solvable constraint 2007 A. B. Alekseev
M. Sh. Birman
N. Filonov
+ Weyl asymptotics of the spectrum of the Maxwell operator with non-smooth coefficients in Lipschitz domains 2007 M. Sh. Birman
N. Filonov
+ Nonlinear Equations and Spectral Theory 2007 M. Sh. Birman
N. N. Uraltseva
+ Nonlinear Equations and Spectral Theory: American Mathematical Society Translations Series 2: Volume 220. 2007 M. Sh. Birman
N. N. Uraltseva
+ Nonhomogeneous Navier-Stokes equations with integrable low-regularity data 2002 Herbert Amann
M. Sh. Birman
+ Nonlinear problems in mathematical physics and related topics : in honor of professor O. A. Ladyzhenskaya 2002 O. A. Ladyzhenskai︠a︡
M. Sh. Birman
+ Nonlinear Problems in Mathematical Physics and Related Topics I 2002 M. Sh. Birman
Stefan Hildebrandt
V. A. Solonnikov
N. N. Uraltseva
+ On the negative discrete spectrum of a preiodic elliptic operator in a waveguide-type domain, perturbed by a decaying potential 2001 M. Sh. Birman
Michael Solomyak
+ Mikhail Semenovich Agranovich (on his 70th birthday) 2001 B. A. Amosov
M. Sh. Birman
M. I. Vishik
+ Threshold Effects near the Lower Edge of the Spectrum for Periodic Differential Operators of Mathematical Physics 2001 M. Sh. Birman
T. A. Suslina
+ PDF Chat Discrete spectrum in the gaps of a perturbed pseudorelativistic hamiltonian 2000 M. Sh. Birman
A. B. Pushnitskii
+ The periodic Dirac operator is absolutely continuous 1999 M. Sh. Birman
T. A. Suslina
+ Two-Dimensional Periodic Pauli Operator. The Effective Masses at the Lower Edge of the Spectrum 1999 M. Sh. Birman
T. A. Suslina
+ On the Eigenvalue Behaviour for a Class of Differential Operators on Semiaxis 1998 M. Sh. Birman
Ари Лаптев
Michael Solomyak
+ The negative discrete spectrum of a two-dimensional Schr�dinger operator 1996 M. Sh. Birman
Ари Лаптев
+ The negative discrete spectrum of a two‐dimensional Schrödinger operator 1996 M. Sh. Birman
Ари Лаптев
+ Tensor product of a finite number of spectral measures is always a spectral measure 1996 M. Sh. Birman
Michael Solomyak
+ Three problems in the mechanics of continua in polyhedra 1995 M. Sh. Birman
+ Anatolii Moiseevich Vershik (on his sixtieth birthday) 1994 Vladimir I. Arnold
M. Sh. Birman
Lyudvig Dmitrievich Faddeev
I. M. Gel'fand
И. А. Ибрагимов
S. V. Kerov
A. A. Kirillov
O. A. Ladyzhenskaya
Г. А. Леонов
A. A. Lodkin
+ The discrete spectrum in a gap of the continuous one for compact supported perturbations 1994 M. Sh. Birman
Timo Weidl
+ Discrete spectrum of the periodic Schrödinger operator for non-negative perturbations 1994 M. Sh. Birman
+ A general scheme in the stationary scattering theory 1993 M. Sh. Birman
D. R. Yafaev
+ Operator integration, perturbations, and commutators 1993 M. Sh. Birman
Michael Solomyak
+ PDF Chat Estimates for the difference of fractional powers of selfadjoint operators in the case of unbounded perturbations 1992 M. Sh. Birman
Michael Solomyak
+ PDF Chat Schrödinger operator. Estimates for number of bound states as function-theoretical problem 1992 M. Sh. Birman
Michael Solomyak
+ Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant 1991 M. Sh. Birman
+ Estimates for the number of negative eigenvalues of the Schrödinger operator and its generalizations 1991 M. Sh. Birman
Michael Solomyak
+ Boundedness conditions and spectrum estimates for the operators 𝑏(𝑋)𝑎(𝐷) and their analogs 1991 M. Sh. Birman
G. E. Karadzhov
Michael Solomyak
+ Discrete spectrum in the gaps for perturbations of the magnetic Schrödinger operator 1991 M. Sh. Birman
Georgi Raikov
+ Mikhail Zakharovich Solomyak (on his sixtieth birthday) 1991 M. Sh. Birman
S. G. Kreĭn
O. A. Ladyzhenskaya
G V Rozenblyum
Yu. Safarov
+ The discrete spectrum in the gaps of a second-order perturbed periodic operator 1991 M. Sh. Birman
+ Negative Discrete Spectrum of the Schroedinger Operator with Large Coupling Constant: A Qualitative Discussion 1990 M. Sh. Birman
Michael Solomyak
+ Discrete Spectrum in the Gaps of the Continuous one in the Large-Coupling-Constant Limit 1990 M. Sh. Birman
+ <i>L</i><sub>2</sub>-Theory of the Maxwell operator in arbitrary domains 1987 M. Sh. Birman
Michael Solomyak
+ Spectral Theory of Self-Adjoint Operators in Hilbert Space 1987 M. Sh. Birman
M. Z. Solomjak
+ The maxwell operator in domains with edges 1987 M. Sh. Birman
+ Functional Model and the Unitary Invariants of Self-adjoint Operators 1987 M. Sh. Birman
M. Z. Solomjak
+ Hilbert Space Geometry. Continuous Linear Operators 1987 M. Sh. Birman
M. Z. Solomjak
+ Symmetric and Isometric Operators 1987 M. Sh. Birman
M. Z. Solomjak
+ Unbounded Linear Operators 1987 M. Sh. Birman
M. Z. Solomjak
+ Maxwell operator in regions with nonsmooth boundaries 1987 M. Sh. Birman
Michael Solomyak
+ Semibounded Operators and Forms 1987 M. Sh. Birman
M. Z. Solomjak
+ Spectral Theory of Self-Adjoint Operators in Hilbert Space 1987 M. Sh. Birman
M. Z. Solomjak
+ Classes of Compact Operators 1987 M. Sh. Birman
M. Z. Solomjak
+ PDF Chat Asymptotic behavior of the spectrum of variational problems on the solutions of elliptic systems 1985 M. Sh. Birman
Michael Solomyak
+ PDF Chat Compact operators whose singular numbers have powerlike asymptotics 1984 M. Sh. Birman
Michael Solomyak
+ Asymptotic behavior of the spectrum of the scattering matrix 1984 M. Sh. Birman
D. R. Yafaev
+ Quasiclassical spectral asymptotics of one class of integral operators 1983 M. Sh. Birman
+ Asymptotic behavior of the limiting phase shifts in the case of scattering by a potential without spherical symmetry 1982 M. Sh. Birman
D. R. Yafaev
+ Asymptotics of the spectrum of variational problems on solutions of elliptic equations in unbounded domains 1981 M. Sh. Birman
Michael Solomyak
+ Asymptotic form of the spectrum of the s-matrix for potential scattering 1980 M. Sh. Birman
D. R. Yafaev
+ Quantitative Analysis in Sobolev Imbedding Theorems and Applications to Spectral Theory 1980 M. Sh. Birman
M. Z. Solomjak
+ Singular numbers of integral operators. Multipliers 1980 M. Sh. Birman
M. Z. Solomjak
+ Asymptotic behavior of the spectrum of polyharmonic operators in weighted spaces 1980 M. Sh. Birman
M. Z. Solomjak
+ Asymptotics of the spectrum of elliptic variational problems with nonsmooth coefficients 1980 M. Sh. Birman
M. Z. Solomjak
+ Asymptotic behavior of the spectrum of differential equations 1979 M. Sh. Birman
Michael Solomyak
+ Asymptotics of the spectrum of variational problems on solutions of elliptic equations 1979 M. Sh. Birman
Michael Solomyak
+ ESTIMATES OF SINGULAR NUMBERS OF INTEGRAL OPERATORS 1977 M. Sh. Birman
Michael Solomyak
+ PDF Chat Remarks on the spectral shift function 1975 M. Sh. Birman
Michael Solomyak
+ SCATTERING PROBLEMS FOR DIFFERENTIAL OPERATORS WITH PERTURBATION OF THE SPACE 1971 M. Sh. Birman
+ Leading term in the asymptotic spectral formula for "nonsmooth" elliptic problems 1971 M. Sh. Birman
Michael Solomyak
+ On the asymptotic spectrum of "nonsmooth" elliptic equations 1971 M. Sh. Birman
Michael Solomyak
+ A Criterion for the Existence of the Complete Wave Operators in the Theory of Scattering with Two Spaces 1971 M. Sh. Birman
+ ASYMPTOTIC BEHAVIOR OF THE SPECTRUM OF WEAKLY POLAR INTEGRAL OPERATORS 1970 M. Sh. Birman
M. Z. Solomjak
+ Scattering problems for differential operators with constant coefficients 1969 M. Sh. Birman
+ THE EXISTENCE OF WAVE OPERATORS IN SCATTERING THEORY FOR PAIRS OF SPACES 1968 A. L. Belopol'skii
M. Sh. Birman
+ A LOCAL CRITERION FOR THE EXISTENCE OF WAVE OPERATORS 1968 M. Sh. Birman
+ Linear and non-linear equations of parabolic type 1968 M. Sh. Birman
Vladimir Maz′ya
+ Stieltjes Double-Integral Operators. II 1968 M. Sh. Birman
Michael Solomyak
+ PIECEWISE-POLYNOMIAL APPROXIMATIONS OF FUNCTIONS OF THE CLASSES $ W_{p}^{\alpha}$ 1967 M. Sh. Birman
M Z Solomjak
+ THE STATIONARY METHOD IN THE ABSTRACT THEORY OF SCATTERING 1967 M. Sh. Birman
S B Èntina
+ Stieltjes Double-Integral Operators 1967 M. Sh. Birman
Michael Solomyak
+ Existence conditions for wave operators 1966 M. Sh. Birman
+ Eleven Papers on Analysis 1963 П. Л. Шабалин
В. А. Зморович
A. A. Yakubenko
V. Pokhilevich
M. Г. Крейн
A. A. Nudel’man
S. G. Kreĭn
Г. А. Курина
G. G. Gevorkyan
A. Saginashvili
+ ON THE SPECTRUM OF SCHROEDINGER'S AND DIRAC'S OPERATORS 1959 M. Sh. Birman
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Introduction to the Theory of Linear Non-selfadjoint Operators 1969 Israel Gohberg
10
+ Introduction to the theory of linear nonselfadjoint operators 1969 M. Г. Крейн
Israel Gohberg
8
+ PDF Chat Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung) 1912 Hermann Weyl
6
+ Spectral Theory of Self-Adjoint Operators in Hilbert Space 1987 M. Sh. Birman
M. Z. Solomjak
6
+ Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant 1991 M. Sh. Birman
5
+ Methods of Modern Mathematical Physics 1972 Michael C. Reed
Barry Simon
5
+ Eigenvalue branches of the Schr�dinger operatorH??W in a gap of ?(H) 1989 Stan Alama
Percy Deift
Rainer Hempel
4
+ Quantitative Characteristics of Singular Measures 1971 V. V. Borzov
4
+ A LOCAL CRITERION FOR THE EXISTENCE OF WAVE OPERATORS 1968 M. Sh. Birman
4
+ ELLIPTIC SINGULAR INTEGRO-DIFFERENTIAL OPERATORS 1965 M. S. Agranovich
4
+ PDF Chat Wave operators and unitary equivalence 1965 Tosio Kato
3
+ PDF Chat Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations 1978 O. A. Ladyzhenskaya
V. A. Solonnikov
3
+ An algebra of pseudo‐differential operators 1965 J. J. Kohn
Louis Nirenberg
3
+ ESTIMATES OF SINGULAR NUMBERS OF INTEGRAL OPERATORS 1977 M. Sh. Birman
Michael Solomyak
3
+ Negative Discrete Spectrum of the Schroedinger Operator with Large Coupling Constant: A Qualitative Discussion 1990 M. Sh. Birman
Michael Solomyak
3
+ Quantitative Analysis in Sobolev Imbedding Theorems and Applications to Spectral Theory 1980 M. Sh. Birman
M. Z. Solomjak
3
+ Scattering theory with two Hilbert spaces 1967 Tosio Kato
3
+ The maxwell operator in domains with edges 1987 M. Sh. Birman
3
+ Asymptotics of the spectrum of variational problems on solutions of elliptic equations 1979 M. Sh. Birman
Michael Solomyak
3
+ Scattering problems for differential operators with constant coefficients 1969 M. Sh. Birman
3
+ Weak Type Estimates for Singular Values and the Number of Bound States of Schrodinger Operators 1977 Michael Ćwikel
3
+ ON IMBEDDING, CONTINUATION AND APPROXIMATION THEOREMS FOR DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES 1961 Sergei M Nikol'skii
3
+ Spectral Theory of Self-Adjoint Operators in Hilbert Space 1987 M. Sh. Birman
M. Z. Solomjak
3
+ Boundedness conditions and spectrum estimates for the operators 𝑏(𝑋)𝑎(𝐷) and their analogs 1991 M. Sh. Birman
G. E. Karadzhov
Michael Solomyak
2
+ The Resolvent of an Elliptic Boundary Problem 1969 R. Seeley
2
+ Classes of Compact Operators and Eigenvalue Distributions for Elliptic Operators 1967 Richard Beals
2
+ PDF Chat Scattering theory for differential operators, I, operator theory 1973 S. T. Kuroda
2
+ PDF Chat Perturbation Theory for Linear Operators 1995 Tosio Kato
2
+ Floquet Theory for Partial Differential Equations 1993 Peter Kuchment
2
+ PDF Chat The first boundary value problem for classical equations of mathematical physics in domains with piecewise-smooth boundaries. I (in Russian) 1983 Vladimir Maz’ya
Б. А. Пламеневский
2
+ Multidimensional Singular Integrals and Integral Equations 1965 Solomon G. Mikhlin
Marvin M. Stark
I. N. Sneddon
Stanislaw M. Ulam
2
+ Asymptotic Formulas with Remainder Estimates for Eingevalues of Elliptic Operators 2010 Shmuel Agmon
2
+ Leading term in the asymptotic spectral formula for "nonsmooth" elliptic problems 1971 M. Sh. Birman
Michael Solomyak
2
+ Regular and Pathological Eigenvalue Behavior for the Equation −λu″=Vuon the Semiaxis 1997 K. Naimark
Michael Solomyak
2
+ Geometric and arithmetic methods in the spectral theory of multidimensional periodic operators 1987 M. M. Skriganov
2
+ A Sufficient Condition for an Integral Operator to Have a Trace. 1958 W. Forrest Stinespring
2
+ SPACES WITH NEGATIVE NORMS 1963 Yu. M. Berezanskiĭ
2
+ Neumann problem for second-order elliptic equations in domains with edges on the boundary 1984 V. Zaionchkovskii
V. A. Solonnikov
2
+ PDF Chat Perturbation of continuous spectra by unbounded operators, I. 1959 S. T. Kuroda
2
+ Estimates for the number of negative eigenvalues of the Schrödinger operator and its generalizations 1991 M. Sh. Birman
Michael Solomyak
2
+ Asymptotic behavior of the Green's function and spectral function of an elliptic operator 1970 Richard Beals
2
+ On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems 1965 Shmuel Agmon
2
+ Comparison theorems for the gap of Schrödinger òperators 1987 Werner Kirsch
Barry Simon
2
+ PDF Chat Remarks on the spectral shift function 1975 M. Sh. Birman
Michael Solomyak
2
+ The negative discrete spectrum of a two-dimensional Schr�dinger operator 1996 M. Sh. Birman
Ари Лаптев
2
+ FUNCTORS IN CATEGORIES OF BANACH SPACES 1964 Boris Mityagin
A. S. Shvart︠s︡
2
+ PDF Chat On the characteristic values of linear integral equations 1931 Einar Hille
J. D. Tamarkin
2
+ PDF Chat Perturbation of the continuous spectrum and unitary equivalence 1957 Marvin Rosenblum
2
+ PIECEWISE-POLYNOMIAL APPROXIMATIONS OF FUNCTIONS OF THE CLASSES $ W_{p}^{\alpha}$ 1967 M. Sh. Birman
M Z Solomjak
2
+ Homogenization of Differential Operators and Integral Functionals 1994 V. V. Zhikov
С. М. Козлов
O. A. Oleĭnik
2