A. Sakhnovich

发表

Canonical Systems with Rational Spectral Densities: Explicit Formulas and Applications

M. A. Kaashoek, I. Gohberg, M. A. Kaashoek, 1998 .

Weyl–Titchmarsh Theory for Schrödinger Operators with Strongly Singular Potentials

Gerald Teschl, Aleksey Kostenko, Alexander Sakhnovich, 2011 .

Nonlinear Fokker-Planck equation: stability, distance and the corresponding extremal problem in the spatially inhomogeneous case

L. Sakhnovich, A. Sakhnovich, 2015 .

Nonlinear Fokker-Planck equation: stability, distance and corresponding extremal problem in the spatially inhomogeneous case

L. Sakhnovich, A. Sakhnovich, 2013, 1307.1126.

The nonlinear Fokker-Planck equation: comparison of the classical and quantum (boson and fermion) characteristics

L. Sakhnovich, A. Sakhnovich, 2012 .

Dressing procedure for solutions of non-linear equations and the method of operator identities

A. Sakhnovich, A L Sakhnovich, 1994 .

Evolution of Weyl functions and initial-boundary value problems

A. Sakhnovich, 2015, 1507.08796.

Skew‐selfadjoint Dirac systems with rational rectangular Weyl functions: explicit solutions of direct and inverse problems and integrable wave equations

M. A. Kaashoek, A. Sakhnovich, B. Fritzsche, 2015, 1501.00395.

Scattering problems for a canonical system with a pseudo-exponential potential

I. Gohberg, Kaashoek, A. Sakhnovich, 2002 .

On the inversion of the block double-structured and of the triple-structured Toeplitz matrices and on the corresponding reflection coefficients

A. Sakhnovich, I. Roitberg, 2020, Linear Algebra and its Applications.

Scattering for general-type Dirac systems on the semi-axis: reflection coefficients and Weyl functions

A. Sakhnovich, 2018, Journal of Differential Equations.

ON A CLASS OF EXTREMAL PROBLEMS

A. Sakhnovich, 1988 .

Explicit solutions of Schr\"odinger and KdV equations in terms of square roots of the generalised matrix eigenvalues

A. Sakhnovich, 2022, 2205.13463.

Dressing for generalised linear Hamiltonian systems depending rationally on the spectral parameter and some applications

A. Sakhnovich, 2021, Discrete and Continuous Dynamical Systems.

On the structure of the inverse to Toeplitz-block Toeplitz matrices and of the corresponding polynomial reflection coefficients

A. Sakhnovich, 2019, Transactions of the American Mathematical Society.

On a new class of structured matrices related to the discrete skew-self-adjoint Dirac systems

A. Sakhnovich, B. Fritzsche, B. Kirstein, 2008 .

Dynamical canonical systems and their explicit solutions

A. Sakhnovich, 2016, 1603.08709.

Backlund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem ?

A. Sakhnovich, 2007, math-ph/0703072.

Weyl matrix functions and inverse problems for discrete Dirac type self-adjoint system: explicit and general solutions

A. Sakhnovich, B. Fritzsche, B. Kirstein, 2007, math/0703369.

Discrete skew selfadjoint canonical systems and the isotropic Heisenberg magnet model

M. A. Kaashoek, A. Sakhnovich, 2004, math/0410438.

Dynamical and spectral Dirac systems: response function and inverse problems

A. Sakhnovich, 2015, 1507.00032.

On Accelerants and Their Analogs, and on the Characterization of the Rectangular Weyl Functions for Dirac Systems with Locally Square-Integrable Potentials on a Semi-Axis

A. Sakhnovich, 2016, 1611.00550.

Skew-Self-Adjoint Dirac System with a Rectangular Matrix Potential: Weyl Theory, Direct and Inverse Problems

A. Sakhnovich, B. Fritzsche, B. Kirstein, 2012, Integral Equations and Operator Theory.

Weyl functions of generalized dirac systems: Integral representation, the inverse problem and discrete interpolation

A. Sakhnovich, B. Fritzsche, B. Kirstein, 2012, Journal d'Analyse Mathématique.

ON A MEAN VALUE THEOREM IN THE CLASS OF HERGLOTZ FUNCTIONS AND ITS APPLICATIONS

L. Sakhnovich, A. Sakhnovich, 2008 .

ELA ON A MEAN VALUE THEOREM IN THE CLASS OF HERGLOTZ FUNCTIONS AND ITS APPLICATIONS

L. Sakhnovich, A. Sakhnovich, 2008 .

Einstein, $\sigma$-model and Ernst-type equations and non-isospectral GBDT version of Darboux transformation

A. Sakhnovich, 2020, 2003.13024.

Discrete canonical system and non‐Abelian Toda lattice: Bäcklund–Darboux transformation, Weyl functions, and explicit solutions

A. Sakhnovich, 2003, nlin/0311004.

Discrete canonical system and non-Abelian Toda lattice: Backlund-Darboux transformation and Weyl functions

A. Sakhnovich, 2003 .

Generalized Bäcklund–Darboux Transformation: Spectral Propertiesand Nonlinear Equations

A. Sakhnovich, 2001 .

Exact solutions of nonlinear equations and the method of operator identities

A. Sakhnovich, 1993 .

Inverse Problems and Nonlinear Evolution Equations: Solutions, Darboux Matrices and Weyl-Titchmarsh Functions

L. Sakhnovich, A. Sakhnovich, I. Roitberg, 2013 .

Pseudo-Canonical Systems with Rational Weyl Functions: Explicit Formulas and Applications

M. A. Kaashoek, I. Gohberg, A. Sakhnovich, 1998 .

Nonlinear Schrödinger equation in a semi-strip: Evolution of the Weyl–Titchmarsh function and recovery of the initial condition and rectangular matrix solutions from the boundary conditions

A. Sakhnovich, 2015 .

Sine–Gordon theory in a semi-strip

A. Sakhnovich, 2010, 1001.4142.

Port-Hamiltonian Systems with Several Space Variables: Dressing, Explicit Solutions and Energy Relations

A. Sakhnovich, 2022, SSRN Electronic Journal.

Commutation methods for Schrödinger operators with strongly singular potentials

G. Teschl, A. Sakhnovich, A. Kostenko, 2010, 1010.4902.

Construction of the Solution of the Inverse Spectral Problem for a System Depending Rationally on the Spectral Parameter, Borg–Marchenko-Type Theorem and Sine-Gordon Equation

A. Sakhnovich, 2010, 1001.2409.

Direct and inverse spectral problem for a system of differential equations depending rationally on the spectral parameter

C. Tretter, R. Mennicken, A. Sakhnovich, 2001 .

Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables

A. Sakhnovich, B. Fritzsche, B. Kirstein, 2013, 1305.2178.

Harmonic maps, Backlund-Darboux transformations and "line soliton" analogs

A. Sakhnovich, 2006, nlin/0606052.

Weyl functions, the inverse problem and special solutions for the system auxiliary to the nonlinear optics equation

A. Sakhnovich, 2007, 0708.1112.

On the GBDT version of the B\"acklund-Darboux transformation and its applications to the linear and nonlinear equations and Weyl theory

Alexander Sakhnovich, A. Sakhnovich, 2009, 0909.1537.

Nonisospectral integrable nonlinear equations with external potentials and their GBDT solutions

A. Sakhnovich, 2007, 0710.2260.

Operator identities corresponding to inverse problems for Dirac systems

A. Sakhnovich, B. Fritzsche, B. Kirstein, 2012 .

Operator identities corresponding to inverse problems

A. Sakhnovich, B. Fritzsche, B. Kirstein, 2011, 1106.0812.

Iterated Backlund–Darboux Transform for Canonical Systems☆

A. Sakhnovich, 1997 .

Canonical systems and transfer matrix-functions

A. Sakhnovich, 1997 .

SPECTRAL FUNCTIONS OF A CANONICAL SYSTEM OF ORDER $ 2n$

A. Sakhnovich, A L Sakhnovich, 1992 .

Non-self-adjoint Dirac-type Systems and Related Nonlinear Equations: Wave Functions, Solutions, and Explicit Formulas

A. Sakhnovich, 2006 .

Generalized Bäcklund-Darboux Transformation of the Matrix, Multicomponent, and Coupled Nonlinear Equations

A. Sakhnovich, 2002 .

Bundle bispectrality for matrix differential equations

J. Zubelli, A. Sakhnovich, 2001 .

Discrete Self-adjoint Dirac Systems: Asymptotic Relations, Weyl Functions and Toeplitz Matrices

A. Sakhnovich, 2019, Constructive Approximation.

The inverse approach to Dirac-type systems based on the A-function concept

F. Gesztesy, A. Sakhnovich, 2019, Journal of Functional Analysis.

Hamiltonian Systems and Sturm–Liouville Equations: Darboux Transformation and Applications

A. Sakhnovich, 2016, 1608.02348.

Generalised canonical systems related to matrix string equations: corresponding structured operators and high-energy asymptotics of the Weyl functions

A. Sakhnovich, 2021, 2103.03203.

On the class of canonical systems corresponding to matrix string equations: general-type and explicit fundamental solutions and Weyl-Titchmarsh theory

A. Sakhnovich, 2020, Documenta Mathematica.

Skew-Self-Adjoint Dirac System with a Rectangular Matrix Potential: Weyl Theory, Direct and Inverse Problems

A. Sakhnovich, B. Fritzsche, B. Kirstein, 2011, 1112.1325.

On a new integrable nonlinear Schroedinger equation with a simple external potential and its explicit solutions

A. Sakhnovich, 2006, nlin/0610046.

Skew-self-adjoint discrete and continuous Dirac-type systems: inverse problems and Borg–Marchenko theorems

A. Sakhnovich, 2005, math/0511594.

Arov–Krein Entropy Functionals and Indefinite Interpolation Problems

A. Sakhnovich, I. Roitberg, 2019, Integral Equations and Operator Theory.

Continuous and discrete dynamical Schrödinger systems: explicit solutions

A. Sakhnovich, B. Fritzsche, B. Kirstein, 2017, 1701.08011.

On explicit inversion of a subclass of operators with D-difference kernels and Weyl theory of the corresponding canonical systems

A. Sakhnovich, G. Pérez-Lechuga, J. Seck-Tuoh-Mora, 2009, 0905.1710.

Dirac type and canonical systems: spectral and Weyl–Titchmarsh matrix functions, direct and inverse problems

Alexander Sakhnovich, A. Sakhnovich, 2002 .

Direct and Inverse Scattering Problem for Canonical Systems with a Strictly Pseudo – Exponential Potential

M. A. Kaashoek, D. Alpay, I. Gohberg, 2000 .

On essential self-adjointness of singular Sturm-Liouville operators

Fritz Gesztesy, Alexander Sakhnovich, S. Blake Allan, 2021, 2106.13317.

OPERATORS WITH STRONGLY SINGULAR POTENTIALS

G. Teschl, A. Sakhnovich, A. Kostenko, 2010 .

Institute for Mathematical Physics Weyl–titchmarsh Theory for Schrödinger Operators with Strongly Singular Potentials Weyl–titchmarsh Theory for Schr¨odinger Operators with Strongly Singular Potentials

G. Teschl, A. Sakhnovich, A. Kostenko, 2022 .

Inverse eigenvalue problems for perturbed spherical Schrödinger operators

G. Teschl, A. Sakhnovich, A. Kostenko, 2010, 1004.4175.

Inversion of the Toeplitz-block Toeplitz matrices and the structure of the corresponding inverse matrices

A. Sakhnovich, 2017, 1704.02267.

Inversion of the convolution operators on a rectangular

A. Sakhnovich, 2017, 1701.08559.

Inverse spectral problems for Schrödinger-type operators with distributional matrix-valued potentials

G. Teschl, F. Gesztesy, A. Sakhnovich, 2014, Differential and Integral Equations.

New "Verblunsky-type" coefficients of block Toeplitz and Hankel matrices and of corresponding Dirac and canonical systems

Alexander L. Sakhnovich, A. Sakhnovich, 2019, J. Approx. Theory.

Verblunsky-type coefficients for Dirac and canonical systems generated by Toeplitz and Hankel matrices, respectively

A. Sakhnovich, 2017, 1711.03064.

Krein systems

M. A. Kaashoek, D. Alpay, I. Gohberg, 2009, 0903.4778.

Inverse problem for Dirac systems

A. Sakhnovich, 2015 .

Krein Systems and Canonical Systems on a Finite Interval: Accelerants with a Jump Discontinuity at the Origin and Continuous Potentials

M. A. Kaashoek, D. Alpay, I. Gohberg, 2009, 0912.4444.

Weyl functions of generalized dirac systems: Integral representation, the inverse problem and discrete interpolation

A. Sakhnovich, B. Fritzsche, B. Kirstein, 2012 .

Canonical Systems on the Line with Rational Spectral Densities: Explicit Formulas

M. A. Kaashoek, I. Gohberg, A. Sakhnovich, 2000 .

Inverse problem for Dirac systems with locally square-summable potentials and rectangular Weyl functions

A. Sakhnovich, 2014, 1401.3605.

Modification of V.P. Potapov’s Scheme in the Indefinite Case

A. Sakhnovich, 1994 .

Dirac systems with locally square-integrable potentials: direct and inverse problems for the spectral functions

A. Sakhnovich, 2023, 2306.12976.

Recovery of the Dirac system from the rectangular Weyl matrix function

A. Sakhnovich, B. Fritzsche, B. Kirstein, 2011, 1106.1263.

Hamiltonian systems with several space variables: dressing, explicit solutions and energy relations

A. Sakhnovich, 2022, 2210.17492.

GBDT and algebro-geometric approaches to explicit solutions and wave functions for nonlocal NLS

A. Sakhnovich, J. Michor, 2018, Journal of Physics A: Mathematical and Theoretical.

Explicit solutions for nonlocal NLS: GBDT and algebro-geometric approaches

A. Sakhnovich, J. Michor, 2018, 1806.05019.

Non-Hermitian Matrix Schrödinger Equation: Bäcklund-Darboux Transformation, Weyl Functions, and Symmetry

A. Sakhnovich, 2003 .

Szegö limits for infinite Toeplitz matrices determined by the Taylor series of two rational functions

A. Sakhnovich, 2002 .

Toeplitz Matrices with an Exponential Growth of Entries and the First Szegö Limit Theorem

A. Sakhnovich, 2000 .

Direct and Inverse Scattering for Skewselfadjoint Hamiltonian Systems

L. Sakhnovich, A. Sakhnovich, 2015 .

On the classes of explicit solutions of Dirac, dynamical Dirac and Dirac–Weyl systems with non-vanishing at infinity potentials, their properties and applications

A. Sakhnovich, 2020, Journal of Differential Equations.

C A ] 1 J ul 2 02 1 Matrix roots and Darboux matrices for generalised canonical systems depending rationally on the spectral parameter

Alexander Sakhnovich, A. Sakhnovich, 2021 .

Initial Value Problems for Integrable Systems on a Semi-Strip

A. Sakhnovich, 2014, 1405.3500.

GBDT version of the Darboux transformation for the matrix coupled dispersionless equations (local and non-local cases)

R. Popovych, A. Sakhnovich, 2020, Journal of Integrable Systems.

KdV equation in the quarter--plane: evolution of the Weyl functions and unbounded solutions

A. Sakhnovich, 2011, 1107.1982.

Sturm-Liouville systems with rational Weyl functions: Explicit formulas and applications

M. A. Kaashoek, I. Gohberg, A. Sakhnovich, 1998 .