Sergey A. Denisov

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All published works

Action	Title	Year	Authors
+ PDF Chat	Sobolev norms of L2-solutions to the nonlinear Schrödinger equation	2024	Roman Bessonov Sergey A. Denisov
+ PDF Chat	Wave packet decomposition for Schrodinger evolution with rough potential and generic value of parameter	2024	Sergey A. Denisov
+ PDF Chat	Strong Asymptotics of Multiple Orthogonal Polynomials for Angelesco Systems. Part I: Non-Marginal Directions	2024	Alexander Ivanovich Aptekarev Sergey A. Denisov Maxim L. Yattselev
+ PDF Chat	Szegő condition, scattering, and vibration of Krein strings	2023	Roman Bessonov Sergey A. Denisov
+ PDF Chat	Spatial asymptotics of Green’s function and applications	2022	Sergey A. Denisov
+ PDF Chat	Szego condition, scattering, and vibration of Krein strings	2022	Roman Bessonov Sergey A. Denisov
+	Sobolev norms of $L^2$-solutions to NLS	2022	Roman Bessonov Sergey A. Denisov
+ PDF Chat	Spectral theory of Jacobi matrices on trees whose coefficients are generated by multiple orthogonality	2021	Sergey A. Denisov Maxim L. Yattselev
+	Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum	2021	Alexander Ivanovich Aptekarev Sergey A. Denisov Maxim L. Yattselev
+ PDF Chat	Subharmonic functions in scattering theory	2021	Sergey A. Denisov
+ PDF Chat	De Branges canonical systems with finite logarithmic integral	2021	Roman Bessonov Sergey A. Denisov
+ PDF Chat	Zero sets, entropy, and pointwise asymptotics of orthogonal polynomials	2021	Roman Bessonov Sergey A. Denisov
+ PDF Chat	De Branges Canonical Systems with Finite Logarithmic Integral	2021	Roman Bessonov Sergey A. Denisov
+	On Spectrum of a Class of Jacobi Matrices on Graph-Trees and Multiple Orthogonal Polynomials	2021	Alexander Ivanovich Aptekarev Sergey A. Denisov Maxim L. Yattselev
+	A New Life of the Classical Szegő Formula	2021	Roman Bessonov Sergey A. Denisov
+	Discrete Schrödinger Operator on a Tree, Angelesco Potentials, and Their Perturbations	2020	Alexander Ivanovich Aptekarev Sergey A. Denisov Maxim L. Yattselev
+ PDF Chat	Continuity of Weighted Operators, Muckenhoupt <i>A</i> <i>p</i> Weights, and Steklov Problem for Orthogonal Polynomials	2020	Michel Alexis Alexander Ivanovich Aptekarev Sergey A. Denisov
+	Spectral theory of Jacobi matrices on trees whose coefficients are generated by multiple orthogonality	2020	Sergey A. Denisov Maxim L. Yattselev
+	Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum	2020	Alexander Ivanovich Aptekarev Sergey A. Denisov Maxim L. Yattselev
+	Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials	2020	Alexander Ivanovich Aptekarev Sergey A. Denisov Maxim L. Yattselev
+	Spectral theory of Jacobi matrices on trees whose coefficients are generated by multiple orthogonality	2020	Sergey A. Denisov Maxim L. Yattselev
+ PDF Chat	Generalizations of Menchov–Rademacher Theorem and Existence of Wave Operators in Schrödinger Evolution	2019	Sergey A. Denisov Liban Mohamed
+	Continuity of weighted operators, Muckenhoupt $A_p$ weights, and Steklov problem for orthogonal polynomials	2019	Michel Alexis Alexander Ivanovich Aptekarev Sergey A. Denisov
+	Zero sets, entropy, and pointwise asymptotics of orthogonal polynomials	2019	Roman Bessonov Sergey A. Denisov
+	A spectral Szegő theorem on the real line	2019	Roman Bessonov Sergey A. Denisov
+	Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials	2019	Alexander Ivanovich Aptekarev Sergey A. Denisov Maxim L. Yattselev
+	Generalizations of Menchov-Rademacher theorem and existence of wave operators in Schrodinger evolution	2019	Sergey A. Denisov Liban Mohamed
+ PDF Chat	On the Growth of the Support of Positive Vorticity for 2D Euler Equation in an Infinite Cylinder	2019	Kyudong Choi Sergey A. Denisov
+	Spatial asymptotics of Green’s function for elliptic operators and applications: a.c. spectral type, wave operators for wave equation	2019	Sergey A. Denisov
+ PDF Chat	On the Essential Spectrum of Schrödinger Operators on Trees	2018	Jonathan Breuer Sergey A. Denisov Latif Eliaz
+	Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials	2018	Alexander Ivanovich Aptekarev Sergey A. Denisov Maxim L. Yattselev
+	Selfadjoint Jacobi matrices on graphs and multiple orthogonal polynomials	2018	Alexander Ivanovich Aptekarev Sergey A. Denisov Maxim L. Yattselev
+ PDF Chat	The growth of polynomials orthogonal on the unit circle with respect to a weight $w$ that satisfies $w,w^{-1}\in L^\infty(\mathbb{T})$	2018	Sergey A. Denisov
+	Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials	2018	Alexander Ivanovich Aptekarev Sergey A. Denisov Maxim L. Yattselev
+ PDF Chat	The growth of polynomials orthogonal on the unit circle with respect to a weight $w$ that satisfies $w,w^{-1}\in L^\infty( {\mathbb{T}})$	2017	Sergey A. Denisov
+	A spectral Szego theorem on the real line	2017	Roman Bessonov Sergey A. Denisov
+	Spatial asymptotics of Green's function for elliptic operators and applications: a.c. spectral type, wave operators for wave equations	2017	Sergey A. Denisov
+	Spatial asymptotics of Green's function for elliptic operators and applications: a.c. spectral type, wave operators for wave equations	2017	Sergey A. Denisov
+ PDF Chat	On Schur parameters in Steklov’s problem	2016	Sergey A. Denisov Keith Rush
+ PDF Chat	2D Euler equation on the strip: Stability of a rectangular patch	2016	Jennifer N. Beichman Sergey A. Denisov
+	The growth of polynomials orthogonal on the unit circle with respect to a weight w that satisfies $w$,$1/w \in L^\infty(\mathbb{T})$	2016	Sergey A. Denisov
+ PDF Chat	Remark on the formula by Rakhmanov and Steklov’s conjecture	2016	Sergey A. Denisov
+	Orthogonal polynomials on the circle for the weight w satisfying conditions: w,1/w in BMO(T)	2016	Sergey A. Denisov Keith Rush
+	2D Euler equation on the strip: stability of a rectangular patch	2016	Jennifer N. Beichman Sergey A. Denisov
+	The Steklov problem and estimates for orthogonal polynomials with A<sub>p</sub>(T) weights	2016	Alexander Ivanovich Aptekarev Sergey A. Denisov
+	On Schur parameters in Steklov's problem	2016	Sergey A. Denisov Keith Rush
+	On the problem by Steklov in the class of weight that are positive and continuous on the circle	2016	Sergey A. Denisov
+	On a problem by Steklov	2015	Alexander Ivanovich Aptekarev Sergey A. Denisov D. N. Tulyakov
+	On the size of the polynomials orthonormal on the unit circle with respect to a measure which is a sum of the Lebesgue measure and 𝑃 point masses	2015	Sergey A. Denisov
+	V.A. Steklov’s problem of estimating the growth of orthogonal polynomials	2015	Alexander Ivanovich Aptekarev Sergey A. Denisov D. N. Tulyakov
+ PDF Chat	The Centrally Symmetric V-States for Active Scalar Equations. Two-Dimensional Euler with Cut-Off	2015	Sergey A. Denisov
+	Remark on the formula by Rakhmanov and Steklov's conjecture	2015	Sergey A. Denisov
+ PDF Chat	Double exponential growth of the vorticity gradient for the two-dimensional Euler equation	2014	Sergey A. Denisov
+ PDF Chat	The Sharp Corner Formation in 2D Euler Dynamics of Patches: Infinite Double Exponential Rate of Merging	2014	Sergey A. Denisov
+ PDF Chat	The Sobolev Norms and Localization on the Fourier Side for Solutions to Some Evolution Equations	2014	Sergey A. Denisov
+	On a problem by Steklov	2014	Alexander Ivanovich Aptekarev Sergey A. Denisov D. N. Tulyakov
+	On a problem by Steklov	2014	Alexander Ivanovich Aptekarev Sergey A. Denisov D. N. Tulyakov
+	The Sobolev norms and localization on the Fourier side for the solutions to some evolution equations	2013	Sergey A. Denisov
+	On the growth of the polynomial entropy integrals for measures in the Szegő class	2013	Sergey A. Denisov S. Kupin
+	The sharp estimates on the orthogonal polynomials from the Steklov class	2013	Alexander Ivanovich Aptekarev Sergey A. Denisov D. N. Tulyakov
+	Fejer convolutions for an extremal problem in the Steklov class	2013	Alexander Ivanovich Aptekarev Sergey A. Denisov D. N. Tulyakov
+	РОССИЙСКАЯ АКАДЕМИЯ НАУК ИНСТИТУТ ПРИКЛАДНОЙ МАТЕМАТИКИ ИМ. М. В. КЕЛДЫША	2013	Alexander Ivanovich Aptekarev Sergey A. Denisov D. N. Tulyakov
+	The Sobolev norms and localization on the Fourier side for the solutions to some evolution equations	2013	Sergey A. Denisov
+ PDF Chat	Remark on Itô’s Diffusion in Multidimensional Scattering with Sign-Indefinite Potentials	2012	Sergey A. Denisov
+	Multidimensional L2 conjecture: a survey	2012	Sergey A. Denisov
+	The sharp corner formation in 2d Euler dynamics of patches: infinite double exponential rate of merging	2012	Sergey A. Denisov
+	Double exponential growth of the vorticity gradient for the two-dimensional Euler equation	2012	Sergey A. Denisov
+	Multidimensional L2 conjecture: a survey	2012	Sergey A. Denisov
+	The sharp corner formation in 2d Euler dynamics of patches: infinite double exponential rate of merging	2012	Sergey A. Denisov
+	Double exponential growth of the vorticity gradient for the two-dimensional Euler equation	2012	Sergey A. Denisov
+ PDF Chat	Ito Diffusions, Modified Capacity, and Harmonic Measure. Applications to Schrodinger Operators	2011	Sergey A. Denisov S. Kupin
+	Ito's diffusion in multidimensional scattering with sign-indefinite potentials	2011	Sergey A. Denisov
+	Levy walks in active media describe perturbation spreading in many-particle systems	2011	Vasily Zaburdaev Sergey A. Denisov Peter Hänggi
+ PDF Chat	The generic behavior of solutions to some evolution equations: Asymptotics and Sobolev norms	2011	Sergey A. Denisov
+	On the growth of the polynomial entropy integrals for the measures in the Szego class	2011	Sergey A. Denisov S. Kupin
+	Ito's diffusion in multidimensional scattering with sign-indefinite potentials	2011	Sergey A. Denisov
+ PDF Chat	Weak Asymptotics for Schrödinger Evolution	2010	Sergey A. Denisov
+ PDF Chat	Wave Equation with Slowly Decaying Potential: asymptotics of Solution and Wave Operators	2010	Sergey A. Denisov
+	Ito diffusions, modified capacity and harmonic measure. Applications to Schrodinger operators	2010	Sergey A. Denisov S. Kupin
+	On a conjecture by Y. Last	2009	Sergey A. Denisov
+	Wave equation with slowly decaying potential: asymptotics and wave operators	2009	Sergey A. Denisov
+	Continuous analogs of polynomials orthogonal on the unit circle. Krein systems	2009	Sergey A. Denisov
+	Schrodinger operators and associated hyperbolic pencils	2009	Sergey A. Denisov
+	Weak asymptotics for Schrodinger evolution	2009	Sergey A. Denisov
+	The generic behavior of solutions to some evolution equations: asymptotics and Sobolev norms	2009	Sergey A. Denisov
+	On a conjecture by Y. Last	2009	Sergey A. Denisov
+	Infinite superlinear growth of the gradient for the two-dimensional Euler equation	2008	Sergey A. Denisov
+	On a conjecture by Y. Last	2008	Sergey A. Denisov
+ PDF Chat	Schrödinger operators and associated hyperbolic pencils	2008	Sergey A. Denisov
+ PDF Chat	An Evolutions Equation as the WKB Correction in Long-Time Asymptotics of Schrödinger Dynamics	2008	Sergey A. Denisov
+ PDF Chat	Wave Propagation through sparse potential barriers	2007	Sergey A. Denisov
+	Continuous analogs of polynomials orthogonal on the unit circle and Krein systems	2007	Sergey A. Denisov
+	Spectral properties of Schrödinger operators with decaying potentials	2007	Sergey A. Denisov Alexander Kiselev
+	Spectral Properties of Schrödinger Operators with Decaying Potentials	2007	Sergey A. Denisov Alexander Kiselev
+	On the preservation of absolutely continuous spectrum for Schrödinger operators	2005	Sergey A. Denisov
+ PDF Chat	Asymptotics of the orthogonal polynomials for the Szegő class with a polynomial weight	2005	Sergey A. Denisov S. Kupin
+	Wave propagation through sparse potential barriers	2005	Sergey A. Denisov
+	On the preservation of absolutely continuous spectrum for Schrodinger operators	2005	Sergey A. Denisov
+	Spectral Properties of Schrödinger Operators with Decaying Potentials	2005	Sergey A. Denisov Alexander Kiselev
+ PDF Chat	On the Absolutely Continuous Spectrum of Dirac Operator	2004	Sergey A. Denisov
+ PDF Chat	On the singular spectrum of Schrödinger operators with decaying potential	2004	Sergey A. Denisov S. Kupin
+ PDF Chat	Orthogonal polynomials and a generalized Szegő condition	2004	Sergey A. Denisov Stanislas Kupin
+	On the existence of wave operators for some Dirac operators with square summable potential	2004	Sergey A. Denisov
+	The Szego class with a polynomial weight	2004	Sergey A. Denisov S. Kupin
+	None	2004	Sergey A. Denisov
+	Absolutely continuous spectrum of multidimensional Schrodinger operator	2004	Sergey A. Denisov
+	Asymptotics of the orthogonal polynomials for the Szego class with a polynomial weight	2004	Sergey A. Denisov S. Kupin
+	On Rakhmanov’s theorem for Jacobi matrices	2003	Sergey A. Denisov
+	On the coexistence of absolutely continuous and singular continuous components of the spectral measure for some Sturm–Liouville operators with square summable potential	2003	Sergey A. Denisov
+	Zeros of orthogonal polynomials on the real line	2003	Sergey A. Denisov Barry Simon
+	On the continuous analog of Rakhmanov's Theorem for orthogonal polynomials	2003	Sergey A. Denisov
+	On the absolutely continuous spectrum of Dirac operator	2003	Sergey A. Denisov
+	Probability Measures with Reflection Coefficients {an}∈ℓ4 and {an+1−an}∈ℓ2 are Erdős Measures	2002	Sergey A. Denisov
+	To the spectral theory of Krein systems	2002	Sergey A. Denisov
+	On the Existence of the Absolutely Continuous Component for the Measure Associated¶with Some Orthogonal Systems	2002	Sergey A. Denisov
+	Zeros of orthogonal polynomials on the real line	2002	Sergey A. Denisov Barry Simon
+	On the Application of Some of M. G. Krein's Results to the Spectral Analysis of Sturm–Liouville Operators	2001	Sergey A. Denisov
+	The equiconvergence problem for a one-dimensional Schrödinger operator with a uniformly locally integrable potential	2000	Sergey A. Denisov
+	An estimate, in the metric ofL 2(R), of the equiconvergence rate with the fourier integral for the spectral expansion corresponding to the Schrödinger operator with a potential of the classL 1(R)	2000	Sergey A. Denisov
+	On the order of growth of generalized eigenfunctions of the Sturm-Liouville operator. The Shnol’ theorem	2000	Sergey A. Denisov
+	On the application of one M.G.Krein's result to the spectral analysis of Sturm-Liouville operators	2000	Sergey A. Denisov

Common Coauthors

Coauthor	Papers Together
Alexander Ivanovich Aptekarev	20
Maxim L. Yattselev	13
Roman Bessonov	11
S. Kupin	8
D. N. Tulyakov	7
Alexander Kiselev	3
Keith Rush	3
Barry Simon	2
Liban Mohamed	2
Michel Alexis	2
Jennifer N. Beichman	2
Kyudong Choi	1
Latif Eliaz	1
Jonathan Breuer	1
Vasily Zaburdaev	1
Stanislas Kupin	1
Peter Hänggi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Sum rules for Jacobi matrices and their applications to spectral theory	2003	Rowan Killip Barry Simon	29
+	On the Absolutely Continuous Spectrum¶of One-Dimensional Schrödinger Operators¶with Square Summable Potentials	1999	Percy Deift Rowan Killip	23
+	Orthogonal Polynomials on the Unit Circle	2005	Barry Simon	21
+	None	2002	Rowan Killip	19
+	ESTIMATES OF THE GROWTH OF ORTHOGONAL POLYNOMIALS WHOSE WEIGHT IS BOUNDED AWAY FROM ZERO	1982	E A Rahmanov	18
+	Absolutely Continuous Spectrum of Schr�dinger Operators with Slowly Decaying and Oscillating Potentials	2004	Ари Лаптев Serguei Naboko Oleg Safronov	18
+	ON STEKLOV'S CONJECTURE IN THE THEORY OF ORTHOGONAL POLYNOMIALS	1980	E A Rahmanov	18
+ PDF Chat	Orthogonal Polynomials	1971		17
+	Schur's Algorithm, Orthogonal Polynomials, and Convergence of Wall's Continued Fractions in L2(T)	2001	Sergey Khrushchev	16
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	16
+	On the existence of wave operators for some Dirac operators with square summable potential	2004	Sergey A. Denisov	15
+	None	2004	Sergey A. Denisov	15
+ PDF Chat	Modified Prüfer and EFGP Transforms and the Spectral Analysis of One-Dimensional Schrödinger Operators	1998	Alexander Kiselev Yoram Last Barry Simon	15
+	Scattering and Wave Operators for One-Dimensional Schr�dinger Operators with Slowly Decaying Nonsmooth Potentials	2002	Michael Christ Alexander Kiselev	15
+	Schrodinger Operators: With Application to Quantum Mechanics and Global Geometry	1987	Hans L. Cycon Barry Simon	14
+	On the preservation of absolutely continuous spectrum for Schrödinger operators	2005	Sergey A. Denisov	14
+ PDF Chat	Sum rules and spectral measures of Schrödinger operators with<i>L</i><sup>2</sup>potentials	2009	Rowan Killip Barry Simon	12
+	First KdV Integrals¶and Absolutely Continuous Spectrum¶for 1-D Schrödinger Operator	2001	Stanislav Molchanov M. V. Novitskii B. Vaĭnberg	12
+	Spectral theory of a class of canonical differential systems	2000	Lev Sakhnovich	12
+ PDF Chat	Bounded Analytic Functions.	1982	Peter W. Jones John B. Garnett	12
+	On the Existence of the Absolutely Continuous Component for the Measure Associated¶with Some Orthogonal Systems	2002	Sergey A. Denisov	11
+ PDF Chat	On the Absolutely Continuous Spectrum of Dirac Operator	2004	Sergey A. Denisov	11
+	On a problem by Steklov	2015	Alexander Ivanovich Aptekarev Sergey A. Denisov D. N. Tulyakov	11
+	Continuous analogs of polynomials orthogonal on the unit circle and Krein systems	2007	Sergey A. Denisov	10
+	None	2005	Galina Perelman	10
+	On a class of canonical systems on half-axis	1998	Lev Sakhnovich	10
+ PDF Chat	Scattering Theory: Some Old and New Problems	2000	D. R. Yafaev	9
+	To the spectral theory of Krein systems	2002	Sergey A. Denisov	9
+	On the Absolutely Continuous Spectrum of Multi-Dimensional Schr�dinger Operators with Slowly Decaying Potentials	2004	Oleg Safronov	9
+	Nearest neighbor recurrence relations for multiple orthogonal polynomials	2011	Walter Van Assche	8
+	The existence of wave operators in scattering theory	1976	Lars H�rmander	8
+	A Szegő condition for a multidimensional Schrödinger operator	2005	Ари Лаптев Serguei Naboko Oleg Safronov	8
+ PDF Chat	On the limit behavior of recurrence coefficients for multiple orthogonal polynomials	2005	Alexander Ivanovich Aptekarev Valery A. Kalyagin G. López Lagomasino I.A. Rocha	8
+ PDF Chat	Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class	2004	Bernhard Beckermann Andrei Martı́nez-Finkelshtein Evguenii Andreevich Rakhmanov Franck Wielonsky	8
+	Asymptotics of orthogonal polynomial’s entropy	2009	Alexander Ivanovich Aptekarev J. S. Dehesa Andrei Martı́nez-Finkelshtein	8
+	Orthogonal Polynomials on the Unit Circle	2005	Barry Simon	8
+	A spectral Szegő theorem on the real line	2019	Roman Bessonov Sergey A. Denisov	7
+	None	2005	Fëdor Nazarov Franz Peherstorfer Alexander Volberg Peter Yuditskii	7
+	On orthogonal polynomials	1975	P. Túrán	7
+	The Classical Moment Problem and Some Related Questions in Analysis	2020	Н. И. Ахиезер	7
+ PDF Chat	Strong Asymptotics of Hermite-Padé Approximants for Angelesco Systems	2015	Maxim L. Yattselev	7
+	On the Application of Some of M. G. Krein's Results to the Spectral Analysis of Sturm–Liouville Operators	2001	Sergey A. Denisov	7
+	On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators	1987	D. J. Gilbert D. B. Pearson	7
+ PDF Chat	V. A. Steklov's problem in the theory of orthogonal polynomials	1979	P. K. Suetin	7
+	Spectral properties of Schrödinger operators and scattering theory	1975	Shmuel Agmon	6
+	Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results	1998	Michael Christ Alexander Kiselev	6
+	Orthogonal polynomials: Their growth relative to their sums	1991	Paul Nevai John H. Zhang Вилмос Тотик	6
+	Best Constants for the Riesz Projection	2000	Brian Hollenbeck Igor E. Verbitsky	6
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	6
+	None	2002	Igor Rodnianski Wilhelm Schlag	6