## Sakhnovych, Lev Aronovych

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 Author ID: sakhnovych.lev-aronovych Published as: Sakhnovich, L. A.; Sakhnovich, Lev; Sakhnovich, Lev A.; Sakhnovich, L.; Sachnovič, L. A.; Sachnovic, L. A.; Sakhnovich, Lev Aronovich more...less Further Spellings: Sachnowitsch, Lew Aronowitsch; Sachnogowitsch, Lew Aronowitsch; Сахнович Лев Аронович External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND
 Documents Indexed: 191 Publications since 1957, including 6 Books 1 Contribution as Editor · 2 Further Contributions Reviewing Activity: 220 Reviews Biographic References: 4 Publications Co-Authors: 27 Co-Authors with 41 Joint Publications 594 Co-Co-Authors
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### Co-Authors

 151 single-authored 10 Rovnyak, James 6 Ivanchenko, T. S. 6 Pozin, S. M. 3 Olshevsky, Vadim 3 Sakhnovich, Alexander L. 2 Arov, Damir Zyamovich 2 Clark, Douglas Napier 2 Douglas, Ronald George 2 Faddeev, Lyudvig Dmitrievich 2 Fritzsche, Bernd 2 Gesztesy, Fritz 2 Gohberg, Israel 2 Helson, Henry 2 Kirstein, Bernd 2 Leiterer, Jürgen 2 McKean, Henry P. jun. 2 Naboko, Serguei N. 2 Nikol’skiĭ, Nikolaĭ Kapitonovich 2 Pavlov, Boris Sergeevich 2 Peller, Vladimir Vsevolodovich 2 Putnam, Calvin R. 2 Smyth, M. R. F. 2 Szőkefalvi-Nagy, Béla 2 Vasyunin, Vasiliĭ Ivanovich 2 Vershik, Anatoliĭ Moiseevich 2 West, Timothy Trevor 1 Alpay, Daniel Aron 1 Bella, Tom 1 Belokolos, Eugene D. 1 Bolotnikov, Vladimir 1 Dubovoj, Vladimir Kirillovich 1 Dym, Harry 1 Ginzburg, Yu. P. 1 Heinig, Georg 1 Helton, John William 1 Katsnel’son, Viktor Èmmanuilovich 1 Kogan, Kh. M. 1 Livšic, Mikhail Samuilovich (Moshe) 1 Makarov, Konstantin A. 1 Nudelman, Adolf Abramovich 1 Roitberg, Inna Ya. 1 Tidniuk, I. F. 1 Tydnyuk, I. F.
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### Fields

 87 Operator theory (47-XX) 46 Ordinary differential equations (34-XX) 27 Integral equations (45-XX) 20 Partial differential equations (35-XX) 16 Probability theory and stochastic processes (60-XX) 11 Functions of a complex variable (30-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Quantum theory (81-XX) 8 Functional analysis (46-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Real functions (26-XX) 5 Difference and functional equations (39-XX) 5 Systems theory; control (93-XX) 4 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of deformable solids (74-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

111 Publications have been cited 557 times in 320 Documents Cited by Year
Spectral theory of canonical differential systems. Method of operator identities. Zbl 0918.47003
Sakhnovich, Lev A.
1999
Factorization problems and operator identities. Zbl 0613.47017
Sakhnovich, L. A.
1986
Interpolation theory and its applications. Zbl 0894.41001
Sakhnovich, L. A.
1997
Half-inverse problems on the finite interval. Zbl 0988.34021
Sakhnovich, L.
2001
Inverse problems and nonlinear evolution equations. Solutions, Darboux matrices and Weyl-Titchmarsh functions. Zbl 1283.47003
Sakhnovich, Alexander L.; Sakhnovich, Lev A.; Roitberg, Inna Ya.
2013
On the factorization of an operator-valued transfer function. Zbl 0342.93022
Sakhnovich, L. A.
1976
Spectral theory of a class of canonical differential systems. Zbl 0959.34069
Sakhnovich, L. A.
2000
On an operator approach to interpolation problems for Stieltjes functions. Zbl 0952.47016
Bolotnikov, V.; Sakhnovich, L.
1999
Integral equations with difference kernels on finite intervals. Zbl 0841.45003
Sakhnovich, L. A.
1996
Equations with a difference kernel on a finite interval. Zbl 0462.45008
Sakhnovich, L. A.
1980
On a class of canonical systems on half-axis. Zbl 0919.47039
Sakhnovich, L. A.
1998
An operator approach to the Potapov scheme for the solution of interpolation problems. Zbl 0835.47012
Ivanchenko, T. S.; Sakhnovich, L. A.
1994
Dissipative Operatoren mit absolut-stetigem Spektrum. Zbl 0179.46802
Sakhnovich, L. A.
1968
Inverse problem for differential operators of order $$n>2$$ with analytic coefficients. Zbl 0084.28403
Sakhnovich, L. A.
1958
Operators which are similar to unitary operators with absolutely continuous spectrum. Zbl 0183.41803
Sakhnovich, L. A.
1968
Dissipative operators with absolutely continuous spectrum. Zbl 0193.43403
Sakhnovich, L. A.
1968
Method of operator identities and problems of analysis. Zbl 0823.47017
Sakhnovich, L. A.
1993
On an integral equation with a kernel dependent on the difference of the arguments. (Über eine Integralgleichung mit einem Kern, der von der Differenz der Argumente abhängt.) Zbl 0305.45004
Sakhnovich, L. A.
1973
On Krein’s differential system and its generalization. Zbl 1106.34055
Sakhnovich, Lev
2006
Evolution of spectral data and nonlinear equations. Zbl 0683.35068
Sakhnovich, L. A.
1988
Equations with a difference kernel on a finite interval. Zbl 0444.45008
Sakhnovich, L. A.
1980
Efficient solution of the sh-Gordon equation. Zbl 0729.35129
Sakhnovich, L. A.; Tydnyuk, I. F.
1990
Matrix-valued generalizations of the theorems of Borg and Hochstadt. Zbl 1070.47037
Belokolos, Eugene D.; Gesztesy, Fritz; Makarov, Konstantin A.; Sakhnovich, Lev A.
2003
Ranks of Hadamard matrices and equivalence of Sylvester-Hadamard and pseudo-noise matrices. Zbl 1136.15016
Bella, Tom; Olshevsky, Vadim; Sakhnovich, Lev
2008
Spektralanalyse der im Raum der Vektorfunktionen $$L_ m^ 2 [O,l]$$ gegebenen Volterraschen Operatoren. Zbl 0132.10303
Sakhnovich, L. A.
1964
The invariance principle for generalized wave operators. Zbl 0234.47003
Sakhnovich, L. A.
1971
The spectral analysis of Volterra operators and some inverse problems. Zbl 0079.31801
Sachnovič, L. A.
1957
The deficiency indices of a system of first-order differential equations. Zbl 0942.34071
Sakhnovich, L. A.
1997
An operator approach to V.P. Potapov’s scheme for the investigation of interpolation problems. Zbl 0701.47019
Ivanchenko, T. S.; Sakhnovich, L. A.
1987
Operator identities in the theory of interpolation problems. Zbl 0633.30032
Ivanchenko, T. S.; Sakhnovich, L. A.
1987
Matrix and operator valued functions. The Vladimir Petrovich Potapov memorial volume. Zbl 0797.00015
1994
Integral equations with difference kernels on finite intervals. 2nd revised and extended edition. Zbl 1334.45001
Sakhnovich, Lev A.
2015
A study of the “triangular form” of non-selfadjoint operators. (Untersuchung des ,,Dreieckmodells” der nicht selbstadjungierten Operatoren.) Zbl 0144.17601
Sakhnovich, L. A.
1959
Generalized wave operators. Zbl 0215.21001
Sakhnovich, L. A.
1970
On properties of the discrete and continuous spectrum for the radial Dirac equation. Zbl 0940.34067
Sakhnovich, L. A.
1996
Some indefinite cases of spectral problems for canonical systems of difference equations. Zbl 1001.39004
Rovnyak, J.; Sakhnovich, L. A.
2002
On a hypothesis concerning Hamiltonians of canonical systems. Zbl 0839.34047
Sakhnovich, L. A.
1994
Nonlinear equations and inverse spectral problems on the axis. Zbl 0843.34021
Sakhnovich, L. A.
1995
Spectral problems for some indefinite cases of canonical differential equations. Zbl 1072.34011
Rovnyak, J.; Sakhnovich, L. A.
2004
Stationary and dynamical scattering problems and ergodic-type theorems. Zbl 1375.81235
Sakhnovich, Lev
2017
Inverse problems for equations systems. Zbl 0831.47037
Sakhnovich, L. A.
1994
A class of matrix-valued Schrödinger operators with prescribed finite-band spectra. Zbl 1055.34016
Gesztesy, Fritz; Sakhnovich, Lev A.
2003
Matched filtering for generalized stationary processes. Zbl 1310.94039
2005
Explicit rational solutions of Knizhnik-Zamolodchikov equation. Zbl 1153.34054
Sakhnovich, Lev
2008
On triangular factorization of positive operators. Zbl 1165.47016
Sakhnovich, Lev A.
2008
Inverse scattering problem for continuous transmission lines with rational reflection coefficient function. Zbl 0859.34063
Alpay, D.; Gohberg, I.; Sakhnovich, L.
1996
On similarity of linear operators. Zbl 0232.47004
Sakhnovich, L. A.
1971
Systems of equations with difference kernels. Zbl 0443.45009
Sakhnovich, L. A.
1980
Lévy processes, integral equations, statistical physics. Connections and interactions. Zbl 1258.45001
Sakhnovich, Lev A.
2012
On dual canonical systems and dual matrix string equations. Zbl 0996.34022
Dym, Harry; Sakhnovich, Lev A.
2001
On reducing the canonical system to two dual differential systems. Zbl 0991.34064
Sakhnovich, L.
2001
Spectral analysis of a class of canonical differential systems. Zbl 0908.34007
Sakhnovich, L. A.
1998
Extremal trigonometric and power polynomials in several variables. Zbl 1076.42501
Sakhnovich, L. A.
2004
Extremal problems of interpolation theory. Zbl 1094.47026
Helton, J. William; Sakhnovich, L. A.
2005
Classic spectral problems. Zbl 0903.34019
Sakhnovich, L. A.
1998
Integrable nonlinear equations on a half-axis. Zbl 0779.35103
Sakhnovich, L. A.
1991
Interpolation problems, inverse spectral problems and nonlinear equations. Zbl 0793.47012
Sakhnovich, L. A.
1992
On the Kreĭn-Langer integral representation of generalized Nevanlinna functions. Zbl 1059.47014
Rovnyak, J.; Sakhnovich, L. A.
2004
Pseudospectral functions for canonical differential systems. II. Zbl 1259.34083
Rovnyak, J.; Sakhnovich, L. A.
2012
Inverse problems for canonical differential equations with singularities. Zbl 1146.34008
Rovnyak, James; Sakhnovich, Lev A.
2008
On a class of integral equations that are solvable in closed form. (Über eine Klasse von Integralgleichungen, die in geschlossener Form lösbar sind.) Zbl 0305.45011
Sakhnovich, L. A.
1974
Weyl-Titchmarsh matrix functions and spectrum of non-selfadjoint Dirac type equation. Zbl 1080.34009
Sakhnovich, L.
2004
Meromorphic solutions of linear differential systems, Painlevé type functions. Zbl 1114.34068
Sakhnovich, Lev
2007
The generalized scattering problems: ergodic type theorems. Zbl 1390.34238
Sakhnovich, Lev
2018
The matrix nonlinear Schrödinger equation and the corresponding hierarchy of equations. Zbl 0987.35152
Sakhnovich, L. A.
1999
A two-sided bound of the least eigen-value of an operator characterizing stable processes. Zbl 0727.60019
Pozin, S. M.; Sakhnovich, L. A.
1991
Asymptotics of the spectrum of anharmonic oscillator. Zbl 0457.34033
Sakhnovich, L. A.
1981
Factorization of operators in $$L^ 2($$a,b). Zbl 0499.47014
Sakhnovich, L. A.
1980
Class of integrodifferential equations. Zbl 0507.45014
Sakhnovich, L. A.
1983
Weyl-Titchmarsh matrix functions for matrix Dirac-type equations (non-self-adjoint case). Zbl 1044.35067
Sakhnovich, L.
2002
On the spectral theory of a generalized differential Krein system. Zbl 0987.47008
Sakhnovich, L. A.
2000
Operator approach to interpolation problem. Zbl 0829.47013
Ivanchenko, T. S.; Sakhnovich, L. A.
1994
Spectral problems for canonical systems of equations on the axis. Zbl 0913.34068
Sakhnovich, Lev A.
1994
On the Sarason scheme in the matrix case. Zbl 0919.47015
Sakhnovich, L. A.
1997
Spectral problems on half-axis. Zbl 0926.34016
Sakhnovich, L. A.
1996
Inverse spectral problems for systems of equations. Zbl 0617.47012
Sakhnovich, L. A.
1985
Spectral problems for systems of equations on the line. Zbl 0666.34025
Sakhnovich, L. A.
1988
Abel’s integral equations in the theory of stable processes. Zbl 0567.45005
Sakhnovich, L. A.
1984
Paired Cauchy matrices. Zbl 0873.15015
Heinig, G.; Sakhnovich, L. A.; Tidniuk, I. F.
1997
Optimal prediction of generalized stationary processes. Zbl 1102.93038
2005
Two-sided estimation of the smallest eigenvalue of an operator characterizing stable processes. Zbl 0774.60019
Pozin, S. M.; Sakhnovich, L. A.
1991
On singular explicit solutions of the modified KdV equation. Zbl 0836.35139
Sakhnovich, L. A.
1992
Explicit formulas for spectral characteristics and solutions of the sh- Gordon equation. Zbl 0737.35106
Sakhnovich, L. A.
1990
The sinh-Gordon equation. Zbl 0747.35041
Sakhnovich, L. A.
1991
Integrable nonlinear equations on a halfaxis. Zbl 0766.35046
Sakhnovich, L. A.
1991
Dirac equation: the stationary and dynamical scattering problems. Zbl 1405.34071
Sakhnovich, Lev
2018
Extremal trigonometric and power polynomials in several variables. Zbl 1063.42006
Sakhnovich, L. A.
2004
Methode des Transformationsoperators für Gleichungen höherer Ordnungen. Zbl 0101.06202
Sakhnovich, L. A.
1961
On the inverse problem for fourth-order equations. (Über das inverse Problem für Gleichungen vierter Ordnung.) Zbl 0116.29203
Sakhnovich, L. A.
1962
Necessary conditions for the existence of a transformation operator for fourth-order equations. (Notwendige Bedingungen für die Existenz eines transformierenden Operators für Gleichungen vierter Ordnung.) Zbl 0127.30402
Sakhnovich, L. A.
1961
Integrable operators and canonical differential systems. Zbl 1162.15018
Sakhnovich, Lev
2007
The Kreĭn differential system and integral operators of random matrix theory. Zbl 1235.34230
Sakhnovich, L.
2011
Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization. Zbl 1267.47030
Sakhnovich, Lev
2012
Triangular integro-differential operators with a difference kernel. (Dreiecks-Integrodifferentialoperatoren mit Differenzenkern.) Zbl 0394.47024
Sakhnovich, L. A.
1978
Inhomogeneous Boltzmann equations: distance, asymptotics and comparison of the classical and quantum cases. Zbl 1266.35123
Sakhnovich, Lev
2012
Integral equations in the theory of Levy processes. Zbl 1196.60085
Sakhnovich, Lev
2010
Über das Spektrum der radialen Schrödingergleichung in einer Umgebung der Null. Zbl 0132.06804
Sakhnovich, L. A.
1965
On the Ritz formula and the quantum defects of the spectrum for a radial Schrödinger equation. (Über die Ritzsche Formel und die Quantendefekte des Spektrums der radialen Schrödingergleichung.) Zbl 0144.47801
Sakhnovich, L. A.
1966
Über dissipative Volterraoperatoren. Zbl 0169.44901
Sakhnovich, L. A.
1968
Dissipative Volterra operators. Zbl 0181.12201
Sakhnovich, L. A.
1969
The generalized scattering problems: ergodic type theorems. Zbl 1390.34238
Sakhnovich, Lev
2018
Dirac equation: the stationary and dynamical scattering problems. Zbl 1405.34071
Sakhnovich, Lev
2018
Stationary and dynamical scattering problems and ergodic-type theorems. Zbl 1375.81235
Sakhnovich, Lev
2017
$$(S+N)$$-triangular operators: spectral properties and important examples. Zbl 1356.47044
Sakhnovich, Lev
2016
Integral equations with difference kernels on finite intervals. 2nd revised and extended edition. Zbl 1334.45001
Sakhnovich, Lev A.
2015
On indefinite cases of operator identities which arise in interpolation theory. II. Zbl 06767996
Rovnyak, J.; Sakhnovich, L. A.
2015
Inverse problems and nonlinear evolution equations. Solutions, Darboux matrices and Weyl-Titchmarsh functions. Zbl 1283.47003
Sakhnovich, Alexander L.; Sakhnovich, Lev A.; Roitberg, Inna Ya.
2013
Lévy processes, integral equations, statistical physics. Connections and interactions. Zbl 1258.45001
Sakhnovich, Lev A.
2012
Pseudospectral functions for canonical differential systems. II. Zbl 1259.34083
Rovnyak, J.; Sakhnovich, L. A.
2012
Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization. Zbl 1267.47030
Sakhnovich, Lev
2012
Inhomogeneous Boltzmann equations: distance, asymptotics and comparison of the classical and quantum cases. Zbl 1266.35123
Sakhnovich, Lev
2012
The Kreĭn differential system and integral operators of random matrix theory. Zbl 1235.34230
Sakhnovich, L.
2011
Integral equations in the theory of Levy processes. Zbl 1196.60085
Sakhnovich, Lev
2010
Rationality of the Knizhnik-Zamolodchikov equation solution. Zbl 1247.35002
Sakhnovich, L. A.
2010
On extremal problems of interpolation theory with unique solution. Zbl 1216.47022
Fritzsche, Bernd; Kirstein, Bernd; Sakhnovich, Lev A.
2010
On the solutions of Knizhnik-Zamolodchikov system. Zbl 1179.35276
Sakhnovich, Lev
2009
Pseudospectral functions for canonical differential systems. Zbl 1185.34126
Rovnyak, J.; Sakhnovich, L. A.
2009
Ranks of Hadamard matrices and equivalence of Sylvester-Hadamard and pseudo-noise matrices. Zbl 1136.15016
Bella, Tom; Olshevsky, Vadim; Sakhnovich, Lev
2008
Explicit rational solutions of Knizhnik-Zamolodchikov equation. Zbl 1153.34054
Sakhnovich, Lev
2008
On triangular factorization of positive operators. Zbl 1165.47016
Sakhnovich, Lev A.
2008
Inverse problems for canonical differential equations with singularities. Zbl 1146.34008
Rovnyak, James; Sakhnovich, Lev A.
2008
Meromorphic solutions of linear differential systems, Painlevé type functions. Zbl 1114.34068
Sakhnovich, Lev
2007
Integrable operators and canonical differential systems. Zbl 1162.15018
Sakhnovich, Lev
2007
On Krein’s differential system and its generalization. Zbl 1106.34055
Sakhnovich, Lev
2006
Matched filtering for generalized stationary processes. Zbl 1310.94039
2005
Extremal problems of interpolation theory. Zbl 1094.47026
Helton, J. William; Sakhnovich, L. A.
2005
Optimal prediction of generalized stationary processes. Zbl 1102.93038
2005
Spectral problems for some indefinite cases of canonical differential equations. Zbl 1072.34011
Rovnyak, J.; Sakhnovich, L. A.
2004
Extremal trigonometric and power polynomials in several variables. Zbl 1076.42501
Sakhnovich, L. A.
2004
On the Kreĭn-Langer integral representation of generalized Nevanlinna functions. Zbl 1059.47014
Rovnyak, J.; Sakhnovich, L. A.
2004
Weyl-Titchmarsh matrix functions and spectrum of non-selfadjoint Dirac type equation. Zbl 1080.34009
Sakhnovich, L.
2004
Extremal trigonometric and power polynomials in several variables. Zbl 1063.42006
Sakhnovich, L. A.
2004
Matrix-valued generalizations of the theorems of Borg and Hochstadt. Zbl 1070.47037
Belokolos, Eugene D.; Gesztesy, Fritz; Makarov, Konstantin A.; Sakhnovich, Lev A.
2003
A class of matrix-valued Schrödinger operators with prescribed finite-band spectra. Zbl 1055.34016
Gesztesy, Fritz; Sakhnovich, Lev A.
2003
Some indefinite cases of spectral problems for canonical systems of difference equations. Zbl 1001.39004
Rovnyak, J.; Sakhnovich, L. A.
2002
Weyl-Titchmarsh matrix functions for matrix Dirac-type equations (non-self-adjoint case). Zbl 1044.35067
Sakhnovich, L.
2002
Half-inverse problems on the finite interval. Zbl 0988.34021
Sakhnovich, L.
2001
On dual canonical systems and dual matrix string equations. Zbl 0996.34022
Dym, Harry; Sakhnovich, Lev A.
2001
On reducing the canonical system to two dual differential systems. Zbl 0991.34064
Sakhnovich, L.
2001
Spectral theory of a class of canonical differential systems. Zbl 0959.34069
Sakhnovich, L. A.
2000
On the spectral theory of a generalized differential Krein system. Zbl 0987.47008
Sakhnovich, L. A.
2000
Spectral theory of canonical differential systems. Method of operator identities. Zbl 0918.47003
Sakhnovich, Lev A.
1999
On an operator approach to interpolation problems for Stieltjes functions. Zbl 0952.47016
Bolotnikov, V.; Sakhnovich, L.
1999
The matrix nonlinear Schrödinger equation and the corresponding hierarchy of equations. Zbl 0987.35152
Sakhnovich, L. A.
1999
On a class of canonical systems on half-axis. Zbl 0919.47039
Sakhnovich, L. A.
1998
Spectral analysis of a class of canonical differential systems. Zbl 0908.34007
Sakhnovich, L. A.
1998
Classic spectral problems. Zbl 0903.34019
Sakhnovich, L. A.
1998
Interpolation theory and its applications. Zbl 0894.41001
Sakhnovich, L. A.
1997
The deficiency indices of a system of first-order differential equations. Zbl 0942.34071
Sakhnovich, L. A.
1997
On the Sarason scheme in the matrix case. Zbl 0919.47015
Sakhnovich, L. A.
1997
Paired Cauchy matrices. Zbl 0873.15015
Heinig, G.; Sakhnovich, L. A.; Tidniuk, I. F.
1997
Integral equations with difference kernels on finite intervals. Zbl 0841.45003
Sakhnovich, L. A.
1996
On properties of the discrete and continuous spectrum for the radial Dirac equation. Zbl 0940.34067
Sakhnovich, L. A.
1996
Inverse scattering problem for continuous transmission lines with rational reflection coefficient function. Zbl 0859.34063
Alpay, D.; Gohberg, I.; Sakhnovich, L.
1996
Spectral problems on half-axis. Zbl 0926.34016
Sakhnovich, L. A.
1996
Nonlinear equations and inverse spectral problems on the axis. Zbl 0843.34021
Sakhnovich, L. A.
1995
An operator approach to the Potapov scheme for the solution of interpolation problems. Zbl 0835.47012
Ivanchenko, T. S.; Sakhnovich, L. A.
1994
Matrix and operator valued functions. The Vladimir Petrovich Potapov memorial volume. Zbl 0797.00015
1994
On a hypothesis concerning Hamiltonians of canonical systems. Zbl 0839.34047
Sakhnovich, L. A.
1994
Inverse problems for equations systems. Zbl 0831.47037
Sakhnovich, L. A.
1994
Operator approach to interpolation problem. Zbl 0829.47013
Ivanchenko, T. S.; Sakhnovich, L. A.
1994
Spectral problems for canonical systems of equations on the axis. Zbl 0913.34068
Sakhnovich, Lev A.
1994
Method of operator identities and problems of analysis. Zbl 0823.47017
Sakhnovich, L. A.
1993
Interpolation problems, inverse spectral problems and nonlinear equations. Zbl 0793.47012
Sakhnovich, L. A.
1992
On singular explicit solutions of the modified KdV equation. Zbl 0836.35139
Sakhnovich, L. A.
1992
Integrable nonlinear equations on a half-axis. Zbl 0779.35103
Sakhnovich, L. A.
1991
A two-sided bound of the least eigen-value of an operator characterizing stable processes. Zbl 0727.60019
Pozin, S. M.; Sakhnovich, L. A.
1991
Two-sided estimation of the smallest eigenvalue of an operator characterizing stable processes. Zbl 0774.60019
Pozin, S. M.; Sakhnovich, L. A.
1991
The sinh-Gordon equation. Zbl 0747.35041
Sakhnovich, L. A.
1991
Integrable nonlinear equations on a halfaxis. Zbl 0766.35046
Sakhnovich, L. A.
1991
Efficient solution of the sh-Gordon equation. Zbl 0729.35129
Sakhnovich, L. A.; Tydnyuk, I. F.
1990
Explicit formulas for spectral characteristics and solutions of the sh- Gordon equation. Zbl 0737.35106
Sakhnovich, L. A.
1990
Evolution of spectral data and nonlinear equations. Zbl 0683.35068
Sakhnovich, L. A.
1988
Spectral problems for systems of equations on the line. Zbl 0666.34025
Sakhnovich, L. A.
1988
An operator approach to V.P. Potapov’s scheme for the investigation of interpolation problems. Zbl 0701.47019
Ivanchenko, T. S.; Sakhnovich, L. A.
1987
Operator identities in the theory of interpolation problems. Zbl 0633.30032
Ivanchenko, T. S.; Sakhnovich, L. A.
1987
Factorization problems and operator identities. Zbl 0613.47017
Sakhnovich, L. A.
1986
Inverse spectral problems for systems of equations. Zbl 0617.47012
Sakhnovich, L. A.
1985
Abel’s integral equations in the theory of stable processes. Zbl 0567.45005
Sakhnovich, L. A.
1984
Class of integrodifferential equations. Zbl 0507.45014
Sakhnovich, L. A.
1983
Asymptotics of the spectrum of anharmonic oscillator. Zbl 0457.34033
Sakhnovich, L. A.
1981
Equations with a difference kernel on a finite interval. Zbl 0462.45008
Sakhnovich, L. A.
1980
Equations with a difference kernel on a finite interval. Zbl 0444.45008
Sakhnovich, L. A.
1980
Systems of equations with difference kernels. Zbl 0443.45009
Sakhnovich, L. A.
1980
Factorization of operators in $$L^ 2($$a,b). Zbl 0499.47014
Sakhnovich, L. A.
1980
Triangular integro-differential operators with a difference kernel. (Dreiecks-Integrodifferentialoperatoren mit Differenzenkern.) Zbl 0394.47024
Sakhnovich, L. A.
1978
On the factorization of an operator-valued transfer function. Zbl 0342.93022
Sakhnovich, L. A.
1976
On a class of integral equations that are solvable in closed form. (Über eine Klasse von Integralgleichungen, die in geschlossener Form lösbar sind.) Zbl 0305.45011
Sakhnovich, L. A.
1974
On an integral equation with a kernel dependent on the difference of the arguments. (Über eine Integralgleichung mit einem Kern, der von der Differenz der Argumente abhängt.) Zbl 0305.45004
Sakhnovich, L. A.
1973
Similarity of operators. Zbl 0261.47007
Sakhnovich, L. A.
1973
The invariance principle for generalized wave operators. Zbl 0234.47003
Sakhnovich, L. A.
1971
On similarity of linear operators. Zbl 0232.47004
Sakhnovich, L. A.
1971
Generalized wave operators. Zbl 0215.21001
Sakhnovich, L. A.
1970
Generalized wave operators. (Verallgemeinerte Wellenoperatoren.) Zbl 0213.14603
Sakhnovich, L. A.
1970
Dissipative Volterra operators. Zbl 0181.12201
Sakhnovich, L. A.
1969
Dissipative Operatoren mit absolut-stetigem Spektrum. Zbl 0179.46802
Sakhnovich, L. A.
1968
Operators which are similar to unitary operators with absolutely continuous spectrum. Zbl 0183.41803
Sakhnovich, L. A.
1968
Dissipative operators with absolutely continuous spectrum. Zbl 0193.43403
Sakhnovich, L. A.
1968
Über dissipative Volterraoperatoren. Zbl 0169.44901
Sakhnovich, L. A.
1968
Nonunitary operators with absolutely continuous spectrum on the unit circle. Zbl 0183.41802
Sakhnovich, L. A.
1968
...and 11 more Documents
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### Cited in 97 Serials

 37 Linear Algebra and its Applications 29 Integral Equations and Operator Theory 16 Journal of Functional Analysis 15 Journal of Mathematical Analysis and Applications 15 Mathematische Nachrichten 13 Ukrainian Mathematical Journal 12 Functional Analysis and its Applications 12 Journal of Differential Equations 9 Transactions of the American Mathematical Society 8 Mathematical Notes 8 Siberian Mathematical Journal 7 Journal of Mathematical Sciences (New York) 7 Complex Analysis and Operator Theory 6 Journal of Soviet Mathematics 5 Journal of Mathematical Physics 5 Journal of Inverse and Ill-Posed Problems 5 Inverse Problems in Science and Engineering 4 Results in Mathematics 4 Journal of Physics A: Mathematical and Theoretical 3 Journal of Approximation Theory 3 Applied Mathematics Letters 3 Numerical Algorithms 3 Russian Mathematics 2 Journal d’Analyse Mathématique 2 Physics Letters. A 2 Rocky Mountain Journal of Mathematics 2 Arkiv för Matematik 2 Applied Mathematics and Computation 2 Monatshefte für Mathematik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 St. Petersburg Mathematical Journal 2 Abstract and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 Central European Journal of Mathematics 1 Applicable Analysis 1 Inverse Problems 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Journal of Computational and Applied Mathematics 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Circuits, Systems, and Signal Processing 1 Acta Applicandae Mathematicae 1 Constructive Approximation 1 Journal of Integral Equations and Applications 1 Computational Mathematics and Mathematical Physics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Journal of Nonlinear Science 1 Journal of Algebraic Combinatorics 1 Applied Mathematics. Series B (English Edition) 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Integral Transforms and Special Functions 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 ELA. The Electronic Journal of Linear Algebra 1 Mathematical Problems in Engineering 1 Positivity 1 Journal of Inequalities and Applications 1 Fractional Calculus & Applied Analysis 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Journal of Nonlinear Mathematical Physics 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics 1 Journal of Numerical Mathematics 1 Multiscale Modeling & Simulation 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Inverse Problems and Imaging 1 Operators and Matrices 1 Mathematical Modelling of Natural Phenomena 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Probability Surveys 1 Journal of Spectral Theory 1 Eurasian Mathematical Journal 1 Analysis and Mathematical Physics 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Journal of Applied Analysis and Computation 1 Journal of Mathematics 1 Special Matrices 1 Journal of Function Spaces 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Advances in Operator Theory
all top 5

### Cited in 38 Fields

 153 Operator theory (47-XX) 132 Ordinary differential equations (34-XX) 49 Linear and multilinear algebra; matrix theory (15-XX) 42 Partial differential equations (35-XX) 39 Functions of a complex variable (30-XX) 32 Dynamical systems and ergodic theory (37-XX) 27 Integral equations (45-XX) 21 Numerical analysis (65-XX) 19 Functional analysis (46-XX) 18 Quantum theory (81-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Difference and functional equations (39-XX) 9 Probability theory and stochastic processes (60-XX) 8 Approximations and expansions (41-XX) 8 Systems theory; control (93-XX) 7 Integral transforms, operational calculus (44-XX) 6 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Mechanics of particles and systems (70-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Abstract harmonic analysis (43-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

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