Michael Solomyak

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All published works

Action	Title	Year	Authors
+ PDF Chat	On spectral estimates for the Schrödinger operators in global dimension 2	2014	G. Rozenblum Michael Solomyak
+ PDF Chat	On spectral estimates for two-dimensional Schrödinger operators	2013	Ари Лаптев Michael Solomyak
+ PDF Chat	On a class of spectral problems on the half-line and their applications to multi-dimensional problems	2013	Michael Solomyak
+	On spectral estimates for the Schr\"odinger operators in global dimension 2	2012	Grigori Rozenblum Michael Solomyak
+ PDF Chat	On the Negative Spectrum of the Two-Dimensional Schrödinger Operator with Radial Potential	2012	Ари Лаптев Michael Solomyak
+	On a class of spectral problems on the half-line and their applications to multi-dimensional problems	2012	Michael Solomyak
+	On spectral estimates for two-dimensional Schrödinger operators	2012	Ари Лаптев Michael Solomyak
+	On a class of spectral problems on the half-line and their applications to multi-dimensional problems	2012	Michael Solomyak
+	On spectral estimates for the Schrödinger operators in global dimension 2	2012	Grigori Rozenblum Michael Solomyak
+ PDF Chat	On the mathematical work of M. Sh. Birman	2011	Michael Solomyak T. A. Suslina D. R. Yafaev
+ PDF Chat	Spectral estimates for Schrödinger operators with sparse potentials on graphs	2011	G. Rozenblum Michael Solomyak
+	Spectral estimates for the Schr\"odinger operators with sparse potentials on graphs	2011	Grigori Rozenblum Michael Solomyak
+	Spectral estimates for the Schrödinger operators with sparse potentials on graphs	2011	Grigori Rozenblum Michael Solomyak
+ PDF Chat	On spectral estimates for Schrödinger-type operators: The case of small local dimension	2010	G. Rozenblum Michael Solomyak
+	ON THE SPECTRAL ESTIMATES FOR THE SCHR ¨ ODINGER-LIKE OPERATORS: THE CASE OF SMALL LOCAL DIMENSION	2010	G. Rozenblum Michael Solomyak
+	On the spectral estimates for Schrödinger type operators. The case of small local dimension	2010	Grigori Rozenblum Michael Solomyak
+ PDF Chat	Remarks on counting negative eigenvalues of the Schrödinger operator on regular metric trees	2009	Michael Solomyak
+	On the spectral estimates for the Schrödinger operator on ℤ d , d ≽ 3	2009	Grigori Rozenblum Michael Solomyak
+ PDF Chat	On the spectrum of the Dirichlet Laplacian in a narrow strip	2009	Leonid Friedlander Michael Solomyak
+	On the spectral estimates for the Schrödinger operator on $\Z^d,\ d\ge3$	2009	Grigori Rozenblum Michael Solomyak
+ PDF Chat	On the spectrum of the Dirichlet Laplacian in a narrow infinite strip	2008	Leonid Friedlander Michael Solomyak
+ PDF Chat	Counting Schrödinger Boundstates: Semiclassics and Beyond	2008	Grigori Rozenblum Michael Solomyak
+ PDF Chat	On the spectrum of narrow periodic waveguides	2008	Leonid Friedlander Michael Solomyak
+	Remarks on counting negative eigenvalues of Schrödinger operator on regular metric trees	2008	Michael Solomyak
+	Counting Schrödinger boundstates: semiclassics and beyond	2008	G. Rozenblum Michael Solomyak
+	On the Spectrum of the Dirichlet Laplacian in a Narrow Strip, II	2007	Leonid Friedlander Michael Solomyak
+	On the Spectrum of the Dirichlet Laplacian in a Narrow Strip	2007	Leonid Friedlander Michael Solomyak
+	On a family of differential operators with the coupling parameter in the boundary condition	2006	G. Rozenblum Michael Solomyak
+	On the limiting behaviour of the spectra of a family of differential operators	2006	Michael Solomyak
+ PDF Chat	On a mathematical model of irreversible quantum graphs	2006	Michael Solomyak
+ PDF Chat	Mikhail Shlemovich Birman \lowercase{(on the occasion of his 75th birthday)}	2006	V. S. Buslaev Michael Solomyak D. R. Yafaev
+ PDF Chat	ON THE ABSOLUTELY CONTINUOUS SPECTRUM IN A MODEL OF AN IRREVERSIBLE QUANTUM GRAPH	2005	Serguei Naboko Michael Solomyak
+ PDF Chat	Smilansky's model of irreversible quantum graphs: II. The point spectrum	2005	W. D. Evans Michael Solomyak
+ PDF Chat	Smilansky's model of irreversible quantum graphs: I. The absolutely continuous spectrum	2005	W. D. Evans Michael Solomyak
+	On the absolutely continuous spectrum in a model of irreversible quantum graph	2005	Serguei Naboko Michael Solomyak
+	On a family of differential operators with the coupling parameter in the boundary condition	2005	G. Rozenblum Michael Solomyak
+ PDF Chat	On the Discrete Spectrum of a Family of Differential Operators	2004	Michael Solomyak
+	On the spectrum of the Laplacian on regular metric trees	2004	Michael Solomyak
+	On a differential operator appearing in the theory of irreversible quantum graphs	2004	Michael Solomyak
+	On the discrete spectrum of a family of differential operators	2004	Michael Solomyak
+	Double Operator Integrals in a Hilbert Space	2003	Mikhail Sh. Birman Michael Solomyak
+ PDF Chat	On approximation of functions from Sobolev spaces on metric graphs	2003	Michael Solomyak
+ PDF Chat	Laplace and Schrödinger Operators on Regular Metric Trees: The Discrete Spectrum Case	2003	Michael Solomyak
+ PDF Chat	SCHRÖDINGER OPERATORS ON HOMOGENEOUS METRIC TREES: SPECTRUM IN GAPS	2002	Alexander V. Sobolev Michael Solomyak
+	On the eigenvalue estimates for the weighted Laplacian on metric graphs	2002	Michael Solomyak
+	On Eigenvalue Estimates for the Weighted Laplacian on Metric Graphs	2002	Michael Solomyak
+	On approximation of functions from Sobolev spaces on metric graphs	2002	Michael Solomyak
+	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
+	Eigenvalue distribution of some fractal semi-elliptic differential operators: Combinatorial approach	2001	K. Naimark Michael Solomyak
+	Laplace and Schrödinger operators on regular metric trees: the discrete spectrum case	2001	Michael Solomyak
+	Eigenvalue Estimates for the Weighted Laplacian on Metric Trees	2000	K. Naimark Michael Solomyak
+	Estimates for the Approximation Numbers of the Weighted Riemann-Liouville Operator in the Spaces L p	2000	Michael Solomyak
+	On the number of negative eigenvalues for the two-dimensional magnetic Schrödinger operator	1999	G. Rozenblum Michael Solomyak
+	Differential Operators and Spectral Theory	1999	V. S. Buslaev Michael Solomyak D. R. Yafaev
+	On the discrete spectrum of a class of problems involving the Neumann Laplacian in unbounded domains	1998	Michael Solomyak
+	On Principal Eigenvalues for Indefinite Problems in Euclidean Space	1998	Grigori Rozenblum Michael Solomyak
+	On the Eigenvalue Behaviour for a Class of Differential Operators on Semiaxis	1998	M. Sh. Birman Ари Лаптев Michael Solomyak
+	The rozenblum-lieb-cwikel inequality for markov generators	1997	Daniel Levin Michael Solomyak
+	Regular and Pathological Eigenvalue Behavior for the Equation −λu″=Vuon the Semiaxis	1997	K. Naimark Michael Solomyak
+	On the negative discrete spectrum of the operator -Δ_{𝒩}-𝛼𝒱 for a class of unbounded domains in ℝ^{𝕕}	1997	Michael Solomyak
+ PDF Chat	The negative discrete spectrum of the operator (-τ)l -αV in L2(Rd) for d even and 2l≥dinL2(Rd) for d even and 2l≥d	1997	Mikhail Sh. Birman Ари Лаптев Michael Solomyak
+	CLR-estimate revisited : Lieb's approach with non path integrals	1997	G. Rozenblum Michael Solomyak
+	Tensor product of a finite number of spectral measures is always a spectral measure	1996	M. Sh. Birman Michael Solomyak
+	Spectral Problems Related to the Critical Exponent in the Sobolev Embedding Theorem	1995	Michael Solomyak
+	On a Spectral Problem Related to Self-Similar Measures	1995	Michael Solomyak E. Verbitsky
+ PDF Chat	The eigenvalue behaviour for the boundary value problems related to self-similar measures on $\; {\Bbb R}^d$	1995	K. Naimark Michael Solomyak
+	Piecewise-polynomial approximation of functions fromH ℓ((0, 1) d ), 2ℓ=d, and applications to the spectral theory of the Schrödinger operator	1994	Michael Solomyak
+	Two-sided estimates on singular values for a class of integral operators on the semi-axis	1994	Joshua I. Newman Michael Solomyak
+	An estimate for Schur multipliers in Sp-classes	1994	Victor Olevskii Michael Solomyak
+	A remark on the Hardy inequalities	1994	Michael Solomyak
+ PDF Chat	Eigenvalue estimates for a class of operators related to self-similar measures	1994	Michael Solomyak
+	Spectral Theory of Differential Operators	1994	G. Rozenblum Mikhail Shubin Michael Solomyak
+	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
+	On simultaneous action of Markov shift and adic transformation	1992	Michael Solomyak
+ PDF Chat	Schrödinger operator. Estimates for number of bound states as function-theoretical problem	1992	M. Sh. Birman Michael Solomyak
+	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
+	Negative Discrete Spectrum of the Schroedinger Operator with Large Coupling Constant: A Qualitative Discussion	1990	M. Sh. Birman Michael Solomyak
+	<i>L</i><sub>2</sub>-Theory of the Maxwell operator in arbitrary domains	1987	M. Sh. Birman Michael Solomyak
+	Maxwell operator in regions with nonsmooth boundaries	1987	M. Sh. Birman Michael Solomyak
+	ASYMPTOTICS OF THE SPECTRUM OF THE SCHRÖDINGER OPERATOR WITH NONREGULAR HOMOGENEOUS POTENTIAL	1986	Michael Solomyak
+ 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
+	Class of differential operators with abnormal behavior of the spectrum of the Dirichlet problem	1982	A. I. Karol' Michael Solomyak
+	Asymptotics of the spectrum of variational problems on solutions of elliptic equations in unbounded domains	1981	M. Sh. Birman Michael Solomyak
+	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
+	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
+	On One Class of Stieltjes Multiple-Integral Operators	1971	Michael Solomyak V. V. Sten’kin
+	Double-Integral Operators in the Ring $$ \mathop R\limits^ \wedge $$	1969	Michael Solomyak
+	Stieltjes Double-Integral Operators. II	1968	M. Sh. Birman Michael Solomyak
+	Stieltjes Double-Integral Operators	1967	M. Sh. Birman Michael Solomyak
+	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

Common Coauthors

Coauthor	Papers Together
M. Sh. Birman	23
Grigori Rozenblum	9
G. Rozenblum	8
Leonid Friedlander	5
Ари Лаптев	5
K. Naimark	4
D. R. Yafaev	3
W. D. Evans	2
Mikhail Sh. Birman	2
V. S. Buslaev	2
G. Rozenblum	2
Serguei Naboko	2
A. A. Nudel’man	1
A. I. Karol'	1
Г. А. Курина	1
В. И. Иванов	1
S. G. Kreĭn	1
Milen Ivanov	1
A. A. Yakubenko	1
V. Pokhilevich	1
T. A. Suslina	1
Daniel Levin	1
Alexander V. Sobolev	1
G. E. Karadzhov	1
Victor Olevskii	1
Mikhail Shubin	1
G. G. Gevorkyan	1
В. А. Зморович	1
M. Г. Крейн	1
G. Kotenkova	1
Joshua I. Newman	1
П. Л. Шабалин	1
V.V. Koretskii	1
Levon V. Mikaelyan	1
N. Kurochkina	1
A. Saginashvili	1
E. Verbitsky	1
V. V. Sten’kin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Estimates for the number of negative eigenvalues of the Schrödinger operator and its generalizations	1991	M. Sh. Birman Michael Solomyak	16
+	Quantitative Analysis in Sobolev Imbedding Theorems and Applications to Spectral Theory	1980	M. Sh. Birman M. Z. Solomjak	15
+	Spectral Theory of Self-Adjoint Operators in Hilbert Space	1987	M. Sh. Birman M. Z. Solomjak	15
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	12
+	Introduction to the Theory of Linear Non-selfadjoint Operators	1969	Israel Gohberg	11
+	Regular and Pathological Eigenvalue Behavior for the Equation −λu″=Vuon the Semiaxis	1997	K. Naimark Michael Solomyak	11
+ PDF Chat	Irreversible quantum graphs	2004	Uzy Smilansky	11
+	Piecewise-polynomial approximation of functions fromH ℓ((0, 1) d ), 2ℓ=d, and applications to the spectral theory of the Schrödinger operator	1994	Michael Solomyak	10
+	On the Eigenvalue Behaviour for a Class of Differential Operators on Semiaxis	1998	M. Sh. Birman Ари Лаптев Michael Solomyak	9
+	The negative discrete spectrum of a two-dimensional Schr�dinger operator	1996	M. Sh. Birman Ари Лаптев	9
+	Eigenvalue Estimates for the Weighted Laplacian on Metric Trees	2000	K. Naimark Michael Solomyak	9
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	9
+	Introduction to the theory of linear nonselfadjoint operators	1969	M. Г. Крейн Israel Gohberg	9
+	Analysis and Geometry on Groups	1993	N. Th. Varopoulos Laurent Saloff‐Coste Thierry Coulhon	8
+	Weak Type Estimates for Singular Values and the Number of Bound States of Schrodinger Operators	1977	Michael Ćwikel	7
+	The rozenblum-lieb-cwikel inequality for markov generators	1997	Daniel Levin Michael Solomyak	7
+	On a differential operator appearing in the theory of irreversible quantum graphs	2004	Michael Solomyak	7
+	Introduction to the Theory of Linear Nonselfadjoint Operators in Hilbert Space	1969	Israel Gohberg M. Г. Крейн	6
+	ESTIMATES OF SINGULAR NUMBERS OF INTEGRAL OPERATORS	1977	M. Sh. Birman Michael Solomyak	6
+	Graph models for waves in thin structures	2002	Peter Kuchment	5
+ PDF Chat	Singular continuous measures in scattering theory	1978	D. B. Pearson	5
+ PDF Chat	On the Discrete Spectrum of a Family of Differential Operators	2004	Michael Solomyak	5
+	Spectral Theory of Self-Adjoint Operators in Hilbert Space	1987	M. Sh. Birman M. Z. Solomjak	5
+ PDF Chat	Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung)	1912	Hermann Weyl	5
+	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	5
+	Nonclassical Sturm-Liouville problems and Schrodinger operators on radial trees	2000	Robert Carlson	5
+ PDF Chat	The Approximation Numbers of Hardy-Type Operators on Trees	2001	W. D. Evans D.J. Harris Ján Lang	5
+	Spectral Asymptotics, Renewal Theorem, and the Berry Conjecture for a Class of Fractals	1996	Michael Levitin Dmitri Vassiliev	5
+ PDF Chat	Variational Problems¶on Multiply Connected Thin Strips I:¶Basic Estimates and Convergence¶of the Laplacian Spectrum	2001	Jacob Rubinstein Michelle Schatzman	5
+	Scattering on the system of the sparse bumps: multidimensional case	1998	Stanislav Molchanov B. Vaĭnberg	4
+	Sobolev Spaces	1985	Vladimir G. Maz’ja	4
+ PDF Chat	Upper and lower limits for the number of bound states in a given central potential	1965	F. Calogero	4
+	Quantitative Characteristics of Singular Measures	1971	V. V. Borzov	4
+ PDF Chat	On the Negative Spectrum of the Two-Dimensional Schrödinger Operator with Radial Potential	2012	Ари Лаптев Michael Solomyak	4
+ PDF Chat	Counting Schrödinger Boundstates: Semiclassics and Beyond	2008	Grigori Rozenblum Michael Solomyak	4
+	Trace Ideals and Their Applications	2010	Barry Simon	4
+	Weighted Hardy and Poincaré Inequalities on Trees	1995	W. D. Evans D.J. Harris Luboš Pick	4
+ PDF Chat	Smilansky's model of irreversible quantum graphs: I. The absolutely continuous spectrum	2005	W. D. Evans Michael Solomyak	4
+	Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps	1992	Vojkan Jakšić S. A. Molčanov Barry Simon	4
+	Leading term in the asymptotic spectral formula for "nonsmooth" elliptic problems	1971	M. Sh. Birman Michael Solomyak	4
+	Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant	1991	M. Sh. Birman	4
+ PDF Chat	On the negative eigenvalues of a class of Schrödinger operators	1999	Ари Лаптев Yu. V. Netrusov	4
+ PDF Chat	Bounds on the eigenvalues of the Laplace and Schroedinger operators	1976	Élliott H. Lieb	4
+ PDF Chat	Smilansky's model of irreversible quantum graphs: II. The point spectrum	2005	W. D. Evans Michael Solomyak	4
+	Fractals, trees and the Neumann Laplacian	1993	W. D. Evans D.J. Harris	3
+	ELLIPTIC SINGULAR INTEGRO-DIFFERENTIAL OPERATORS	1965	M. S. Agranovich	3
+ PDF Chat	Laplace and Schrödinger Operators on Regular Metric Trees: The Discrete Spectrum Case	2003	Michael Solomyak	3
+ PDF Chat	On the spectrum of narrow periodic waveguides	2008	Leonid Friedlander Michael Solomyak	3
+	On a Spectral Problem Related to Self-Similar Measures	1995	Michael Solomyak E. Verbitsky	3
+ PDF Chat	On a mathematical model of irreversible quantum graphs	2006	Michael Solomyak	3