Edit Profile (opens in new tab) Sakhnovych, Lev Aronovych Compute Distance To: Compute 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 593 Co-Co-Authors all top 5 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. all top 5 Serials 9 Ukrainian Mathematical Journal 9 Ukraïns’kyĭ Matematychnyĭ Zhurnal 9 Functional Analysis and its Applications 9 Matematicheskiĭ Sbornik. Novaya Seriya 9 Soviet Mathematics. Doklady 8 Translations. Series 2. American Mathematical Society 5 Integral Equations and Operator Theory 5 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 5 St. Petersburg Mathematical Journal 5 Operator Theory: Advances and Applications 4 Theoretical and Mathematical Physics 4 Uspekhi Matematicheskikh Nauk [N. S.] 4 Siberian Mathematical Journal 4 Linear Algebra and its Applications 4 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 3 Physics Letters. A 3 Mathematische Nachrichten 3 Sibirskiĭ Matematicheskiĭ Zhurnal 3 Complex Analysis and Operator Theory 2 Doklady Akademii Nauk SSSR 2 Inverse Problems 2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 2 Russian Mathematical Surveys 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Journal of Functional Analysis 2 Journal of Soviet Mathematics 2 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 2 Soviet Mathematics 2 Journal of Operator Theory 2 Soviet Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Algebra i Analiz 2 Mathematics of the USSR, Sbornik 2 Russian Mathematics 2 Russian Journal of Mathematical Physics 2 ELA. The Electronic Journal of Linear Algebra 2 Central European Journal of Mathematics 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 IEEE Transactions on Information Theory 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Teoreticheskaya i Matematicheskaya Fizika 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Reviews in Mathematical Physics 1 Theory of Probability and its Applications 1 Differentsial’nye Uravneniya 1 Mathematics of the USSR. Izvestiya 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika 1 Matematicheskaya Fizika, Analiz, Geometriya 1 Methods of Functional Analysis and Topology 1 De Gruyter Studies in Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Operators and Matrices all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 111 Publications have been cited 556 times in 319 Documents Cited by ▼ Year ▼ Spectral theory of canonical differential systems. Method of operator identities. Zbl 0918.47003Sakhnovich, Lev A. 53 1999 Interpolation theory and its applications. Zbl 0894.41001Sakhnovich, L. A. 41 1997 Factorization problems and operator identities. Zbl 0613.47017Sakhnovich, L. A. 41 1986 Half-inverse problems on the finite interval. Zbl 0988.34021Sakhnovich, L. 38 2001 Inverse problems and nonlinear evolution equations. Solutions, Darboux matrices and Weyl-Titchmarsh functions. Zbl 1283.47003Sakhnovich, Alexander L.; Sakhnovich, Lev A.; Roitberg, Inna Ya. 32 2013 On the factorization of an operator-valued transfer function. Zbl 0342.93022Sakhnovich, L. A. 31 1976 Spectral theory of a class of canonical differential systems. Zbl 0959.34069Sakhnovich, L. A. 14 2000 Integral equations with difference kernels on finite intervals. Zbl 0841.45003Sakhnovich, L. A. 13 1996 On an operator approach to interpolation problems for Stieltjes functions. Zbl 0952.47016Bolotnikov, V.; Sakhnovich, L. 12 1999 An operator approach to the Potapov scheme for the solution of interpolation problems. Zbl 0835.47012Ivanchenko, T. S.; Sakhnovich, L. A. 11 1994 On a class of canonical systems on half-axis. Zbl 0919.47039Sakhnovich, L. A. 11 1998 Dissipative Operatoren mit absolut-stetigem Spektrum. Zbl 0179.46802Sakhnovich, L. A. 11 1968 Inverse problem for differential operators of order \(n>2\) with analytic coefficients. Zbl 0084.28403Sakhnovich, L. A. 11 1958 Equations with a difference kernel on a finite interval. Zbl 0462.45008Sakhnovich, L. A. 11 1980 Operators which are similar to unitary operators with absolutely continuous spectrum. Zbl 0183.41803Sakhnovich, L. A. 10 1968 Dissipative operators with absolutely continuous spectrum. Zbl 0193.43403Sakhnovich, L. A. 8 1968 Method of operator identities and problems of analysis. Zbl 0823.47017Sakhnovich, L. A. 7 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 0305.45004Sakhnovich, L. A. 7 1973 On Krein’s differential system and its generalization. Zbl 1106.34055Sakhnovich, Lev 6 2006 The invariance principle for generalized wave operators. Zbl 0234.47003Sakhnovich, L. A. 5 1971 Evolution of spectral data and nonlinear equations. Zbl 0683.35068Sakhnovich, L. A. 5 1988 The spectral analysis of Volterra operators and some inverse problems. Zbl 0079.31801Sachnovič, L. A. 5 1957 Matrix-valued generalizations of the theorems of Borg and Hochstadt. Zbl 1070.47037Belokolos, Eugene D.; Gesztesy, Fritz; Makarov, Konstantin A.; Sakhnovich, Lev A. 5 2003 Efficient solution of the sh-Gordon equation. Zbl 0729.35129Sakhnovich, L. A.; Tydnyuk, I. F. 5 1990 Equations with a difference kernel on a finite interval. Zbl 0444.45008Sakhnovich, L. A. 5 1980 Spektralanalyse der im Raum der Vektorfunktionen \(L_ m^ 2 [O,l]\) gegebenen Volterraschen Operatoren. Zbl 0132.10303Sakhnovich, L. A. 5 1964 Ranks of Hadamard matrices and equivalence of Sylvester-Hadamard and pseudo-noise matrices. Zbl 1136.15016Bella, Tom; Olshevsky, Vadim; Sakhnovich, Lev 5 2008 The deficiency indices of a system of first-order differential equations. Zbl 0942.34071Sakhnovich, L. A. 4 1997 A study of the “triangular form” of non-selfadjoint operators. (Untersuchung des ,,Dreieckmodells” der nicht selbstadjungierten Operatoren.) Zbl 0144.17601Sakhnovich, L. A. 4 1959 Generalized wave operators. Zbl 0215.21001Sakhnovich, L. A. 4 1970 Operator identities in the theory of interpolation problems. Zbl 0633.30032Ivanchenko, T. S.; Sakhnovich, L. A. 4 1987 An operator approach to V.P. Potapov’s scheme for the investigation of interpolation problems. Zbl 0701.47019Ivanchenko, T. S.; Sakhnovich, L. A. 4 1987 Matrix and operator valued functions. The Vladimir Petrovich Potapov memorial volume. Zbl 0797.00015 4 1994 Integral equations with difference kernels on finite intervals. 2nd revised and extended edition. Zbl 1334.45001Sakhnovich, Lev A. 4 2015 On properties of the discrete and continuous spectrum for the radial Dirac equation. Zbl 0940.34067Sakhnovich, L. A. 3 1996 Inverse scattering problem for continuous transmission lines with rational reflection coefficient function. Zbl 0859.34063Alpay, D.; Gohberg, I.; Sakhnovich, L. 3 1996 Inverse problems for equations systems. Zbl 0831.47037Sakhnovich, L. A. 3 1994 On a hypothesis concerning Hamiltonians of canonical systems. Zbl 0839.34047Sakhnovich, L. A. 3 1994 Nonlinear equations and inverse spectral problems on the axis. Zbl 0843.34021Sakhnovich, L. A. 3 1995 On similarity of linear operators. Zbl 0232.47004Sakhnovich, L. A. 3 1971 Some indefinite cases of spectral problems for canonical systems of difference equations. Zbl 1001.39004Rovnyak, J.; Sakhnovich, L. A. 3 2002 A class of matrix-valued Schrödinger operators with prescribed finite-band spectra. Zbl 1055.34016Gesztesy, Fritz; Sakhnovich, Lev A. 3 2003 Spectral problems for some indefinite cases of canonical differential equations. Zbl 1072.34011Rovnyak, J.; Sakhnovich, L. A. 3 2004 Explicit rational solutions of Knizhnik-Zamolodchikov equation. Zbl 1153.34054Sakhnovich, Lev 3 2008 Matched filtering for generalized stationary processes. Zbl 1310.94039Olshevsky, Vadim; Sakhnovich, Lev 3 2005 On triangular factorization of positive operators. Zbl 1165.47016Sakhnovich, Lev A. 3 2008 Stationary and dynamical scattering problems and ergodic-type theorems. Zbl 1375.81235Sakhnovich, Lev 3 2017 On the Kreĭn-Langer integral representation of generalized Nevanlinna functions. Zbl 1059.47014Rovnyak, J.; Sakhnovich, L. A. 2 2004 On dual canonical systems and dual matrix string equations. Zbl 0996.34022Dym, Harry; Sakhnovich, Lev A. 2 2001 On reducing the canonical system to two dual differential systems. Zbl 0991.34064Sakhnovich, L. 2 2001 Integrable nonlinear equations on a half-axis. Zbl 0779.35103Sakhnovich, L. A. 2 1991 Classic spectral problems. Zbl 0903.34019Sakhnovich, L. A. 2 1998 Spectral analysis of a class of canonical differential systems. Zbl 0908.34007Sakhnovich, L. A. 2 1998 Interpolation problems, inverse spectral problems and nonlinear equations. Zbl 0793.47012Sakhnovich, L. A. 2 1992 Extremal trigonometric and power polynomials in several variables. Zbl 1076.42501Sakhnovich, L. A. 2 2004 Extremal problems of interpolation theory. Zbl 1094.47026Helton, J. William; Sakhnovich, L. A. 2 2005 Weyl-Titchmarsh matrix functions and spectrum of non-selfadjoint Dirac type equation. Zbl 1080.34009Sakhnovich, L. 2 2004 Pseudospectral functions for canonical differential systems. II. Zbl 1259.34083Rovnyak, J.; Sakhnovich, L. A. 2 2012 Systems of equations with difference kernels. Zbl 0443.45009Sakhnovich, L. A. 2 1980 Meromorphic solutions of linear differential systems, Painlevé type functions. Zbl 1114.34068Sakhnovich, Lev 2 2007 On a class of integral equations that are solvable in closed form. (Über eine Klasse von Integralgleichungen, die in geschlossener Form lösbar sind.) Zbl 0305.45011Sakhnovich, L. A. 2 1974 Inverse problems for canonical differential equations with singularities. Zbl 1146.34008Rovnyak, James; Sakhnovich, Lev A. 2 2008 Lévy processes, integral equations, statistical physics. Connections and interactions. Zbl 1258.45001Sakhnovich, Lev A. 2 2012 The generalized scattering problems: ergodic type theorems. Zbl 1390.34238Sakhnovich, Lev 2 2018 Spectral problems on half-axis. Zbl 0926.34016Sakhnovich, L. A. 1 1996 Two-sided estimation of the smallest eigenvalue of an operator characterizing stable processes. Zbl 0774.60019Pozin, S. M.; Sakhnovich, L. A. 1 1991 Explicit formulas for spectral characteristics and solutions of the sh- Gordon equation. Zbl 0737.35106Sakhnovich, L. A. 1 1990 Weyl-Titchmarsh matrix functions for matrix Dirac-type equations (non-self-adjoint case). Zbl 1044.35067Sakhnovich, L. 1 2002 Operator approach to interpolation problem. Zbl 0829.47013Ivanchenko, T. S.; Sakhnovich, L. A. 1 1994 The matrix nonlinear Schrödinger equation and the corresponding hierarchy of equations. Zbl 0987.35152Sakhnovich, L. A. 1 1999 Spectral problems for canonical systems of equations on the axis. Zbl 0913.34068Sakhnovich, Lev A. 1 1994 On the Sarason scheme in the matrix case. Zbl 0919.47015Sakhnovich, L. A. 1 1997 Paired Cauchy matrices. Zbl 0873.15015Heinig, G.; Sakhnovich, L. A.; Tidniuk, I. F. 1 1997 Methode des Transformationsoperators für Gleichungen höherer Ordnungen. Zbl 0101.06202Sakhnovich, L. A. 1 1961 On the inverse problem for fourth-order equations. (Über das inverse Problem für Gleichungen vierter Ordnung.) Zbl 0116.29203Sakhnovich, L. A. 1 1962 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 0144.47801Sakhnovich, L. A. 1 1966 Über dissipative Volterraoperatoren. Zbl 0169.44901Sakhnovich, L. A. 1 1968 Dissipative Volterra operators. Zbl 0181.12201Sakhnovich, L. A. 1 1969 Nonunitary operators with absolutely continuous spectrum on the unit circle. Zbl 0183.41802Sakhnovich, L. A. 1 1968 On the spectrum of the unharmonic oscillator. Zbl 0189.39101Sakhnovich, L. A. 1 1964 Spectral analysis of Volterra operators defined on the vector function space \(L_ m^ 2 [0,1]\). Zbl 0192.23103Sakhnovich, L. A. 1 1967 Generalized wave operators. (Verallgemeinerte Wellenoperatoren.) Zbl 0213.14603Sakhnovich, L. A. 1 1970 Spectral problems for systems of equations on the line. Zbl 0666.34025Sakhnovich, L. A. 1 1988 On the spectral theory of a generalized differential Krein system. Zbl 0987.47008Sakhnovich, L. A. 1 2000 Inverse spectral problems for systems of equations. Zbl 0617.47012Sakhnovich, L. A. 1 1985 The sinh-Gordon equation. Zbl 0747.35041Sakhnovich, L. A. 1 1991 Integrable nonlinear equations on a halfaxis. Zbl 0766.35046Sakhnovich, L. A. 1 1991 Extremal trigonometric and power polynomials in several variables. Zbl 1063.42006Sakhnovich, L. A. 1 2004 On singular explicit solutions of the modified KdV equation. Zbl 0836.35139Sakhnovich, L. A. 1 1992 On the solutions of Knizhnik-Zamolodchikov system. Zbl 1179.35276Sakhnovich, Lev 1 2009 A two-sided bound of the least eigen-value of an operator characterizing stable processes. Zbl 0727.60019Pozin, S. M.; Sakhnovich, L. A. 1 1991 Optimal prediction of generalized stationary processes. Zbl 1102.93038Olshevsky, Vadim; Sakhnovich, Lev 1 2005 Integral equations in the theory of Levy processes. Zbl 1196.60085Sakhnovich, Lev 1 2010 Rationality of the Knizhnik-Zamolodchikov equation solution. Zbl 1247.35002Sakhnovich, L. A. 1 2010 On extremal problems of interpolation theory with unique solution. Zbl 1216.47022Fritzsche, Bernd; Kirstein, Bernd; Sakhnovich, Lev A. 1 2010 Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization. Zbl 1267.47030Sakhnovich, Lev 1 2012 Asymptotics of the spectrum of anharmonic oscillator. Zbl 0457.34033Sakhnovich, L. A. 1 1981 Factorization of operators in \(L^ 2(\)a,b). Zbl 0499.47014Sakhnovich, L. A. 1 1980 Pseudospectral functions for canonical differential systems. Zbl 1185.34126Rovnyak, J.; Sakhnovich, L. A. 1 2009 Integrable operators and canonical differential systems. Zbl 1162.15018Sakhnovich, Lev 1 2007 The generalized scattering problems: ergodic type theorems. Zbl 1390.34238Sakhnovich, Lev 2 2018 Dirac equation: the stationary and dynamical scattering problems. Zbl 1405.34071Sakhnovich, Lev 1 2018 Stationary and dynamical scattering problems and ergodic-type theorems. Zbl 1375.81235Sakhnovich, Lev 3 2017 \((S+N)\)-triangular operators: spectral properties and important examples. Zbl 1356.47044Sakhnovich, Lev 1 2016 Integral equations with difference kernels on finite intervals. 2nd revised and extended edition. Zbl 1334.45001Sakhnovich, Lev A. 4 2015 On indefinite cases of operator identities which arise in interpolation theory. II. Zbl 06767996Rovnyak, J.; Sakhnovich, L. A. 1 2015 Inverse problems and nonlinear evolution equations. Solutions, Darboux matrices and Weyl-Titchmarsh functions. Zbl 1283.47003Sakhnovich, Alexander L.; Sakhnovich, Lev A.; Roitberg, Inna Ya. 32 2013 Pseudospectral functions for canonical differential systems. II. Zbl 1259.34083Rovnyak, J.; Sakhnovich, L. A. 2 2012 Lévy processes, integral equations, statistical physics. Connections and interactions. Zbl 1258.45001Sakhnovich, Lev A. 2 2012 Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization. Zbl 1267.47030Sakhnovich, Lev 1 2012 Inhomogeneous Boltzmann equations: distance, asymptotics and comparison of the classical and quantum cases. Zbl 1266.35123Sakhnovich, Lev 1 2012 The Kreĭn differential system and integral operators of random matrix theory. Zbl 1235.34230Sakhnovich, L. 1 2011 Integral equations in the theory of Levy processes. Zbl 1196.60085Sakhnovich, Lev 1 2010 Rationality of the Knizhnik-Zamolodchikov equation solution. Zbl 1247.35002Sakhnovich, L. A. 1 2010 On extremal problems of interpolation theory with unique solution. Zbl 1216.47022Fritzsche, Bernd; Kirstein, Bernd; Sakhnovich, Lev A. 1 2010 On the solutions of Knizhnik-Zamolodchikov system. Zbl 1179.35276Sakhnovich, Lev 1 2009 Pseudospectral functions for canonical differential systems. Zbl 1185.34126Rovnyak, J.; Sakhnovich, L. A. 1 2009 Ranks of Hadamard matrices and equivalence of Sylvester-Hadamard and pseudo-noise matrices. Zbl 1136.15016Bella, Tom; Olshevsky, Vadim; Sakhnovich, Lev 5 2008 Explicit rational solutions of Knizhnik-Zamolodchikov equation. Zbl 1153.34054Sakhnovich, Lev 3 2008 On triangular factorization of positive operators. Zbl 1165.47016Sakhnovich, Lev A. 3 2008 Inverse problems for canonical differential equations with singularities. Zbl 1146.34008Rovnyak, James; Sakhnovich, Lev A. 2 2008 Meromorphic solutions of linear differential systems, Painlevé type functions. Zbl 1114.34068Sakhnovich, Lev 2 2007 Integrable operators and canonical differential systems. Zbl 1162.15018Sakhnovich, Lev 1 2007 On Krein’s differential system and its generalization. Zbl 1106.34055Sakhnovich, Lev 6 2006 Matched filtering for generalized stationary processes. Zbl 1310.94039Olshevsky, Vadim; Sakhnovich, Lev 3 2005 Extremal problems of interpolation theory. Zbl 1094.47026Helton, J. William; Sakhnovich, L. A. 2 2005 Optimal prediction of generalized stationary processes. Zbl 1102.93038Olshevsky, Vadim; Sakhnovich, Lev 1 2005 Spectral problems for some indefinite cases of canonical differential equations. Zbl 1072.34011Rovnyak, J.; Sakhnovich, L. A. 3 2004 On the Kreĭn-Langer integral representation of generalized Nevanlinna functions. Zbl 1059.47014Rovnyak, J.; Sakhnovich, L. A. 2 2004 Extremal trigonometric and power polynomials in several variables. Zbl 1076.42501Sakhnovich, L. A. 2 2004 Weyl-Titchmarsh matrix functions and spectrum of non-selfadjoint Dirac type equation. Zbl 1080.34009Sakhnovich, L. 2 2004 Extremal trigonometric and power polynomials in several variables. Zbl 1063.42006Sakhnovich, L. A. 1 2004 Matrix-valued generalizations of the theorems of Borg and Hochstadt. Zbl 1070.47037Belokolos, Eugene D.; Gesztesy, Fritz; Makarov, Konstantin A.; Sakhnovich, Lev A. 5 2003 A class of matrix-valued Schrödinger operators with prescribed finite-band spectra. Zbl 1055.34016Gesztesy, Fritz; Sakhnovich, Lev A. 3 2003 Some indefinite cases of spectral problems for canonical systems of difference equations. Zbl 1001.39004Rovnyak, J.; Sakhnovich, L. A. 3 2002 Weyl-Titchmarsh matrix functions for matrix Dirac-type equations (non-self-adjoint case). Zbl 1044.35067Sakhnovich, L. 1 2002 Half-inverse problems on the finite interval. Zbl 0988.34021Sakhnovich, L. 38 2001 On dual canonical systems and dual matrix string equations. Zbl 0996.34022Dym, Harry; Sakhnovich, Lev A. 2 2001 On reducing the canonical system to two dual differential systems. Zbl 0991.34064Sakhnovich, L. 2 2001 Spectral theory of a class of canonical differential systems. Zbl 0959.34069Sakhnovich, L. A. 14 2000 On the spectral theory of a generalized differential Krein system. Zbl 0987.47008Sakhnovich, L. A. 1 2000 Spectral theory of canonical differential systems. Method of operator identities. Zbl 0918.47003Sakhnovich, Lev A. 53 1999 On an operator approach to interpolation problems for Stieltjes functions. Zbl 0952.47016Bolotnikov, V.; Sakhnovich, L. 12 1999 The matrix nonlinear Schrödinger equation and the corresponding hierarchy of equations. Zbl 0987.35152Sakhnovich, L. A. 1 1999 On a class of canonical systems on half-axis. Zbl 0919.47039Sakhnovich, L. A. 11 1998 Classic spectral problems. Zbl 0903.34019Sakhnovich, L. A. 2 1998 Spectral analysis of a class of canonical differential systems. Zbl 0908.34007Sakhnovich, L. A. 2 1998 Interpolation theory and its applications. Zbl 0894.41001Sakhnovich, L. A. 41 1997 The deficiency indices of a system of first-order differential equations. Zbl 0942.34071Sakhnovich, L. A. 4 1997 On the Sarason scheme in the matrix case. Zbl 0919.47015Sakhnovich, L. A. 1 1997 Paired Cauchy matrices. Zbl 0873.15015Heinig, G.; Sakhnovich, L. A.; Tidniuk, I. F. 1 1997 Integral equations with difference kernels on finite intervals. Zbl 0841.45003Sakhnovich, L. A. 13 1996 On properties of the discrete and continuous spectrum for the radial Dirac equation. Zbl 0940.34067Sakhnovich, L. A. 3 1996 Inverse scattering problem for continuous transmission lines with rational reflection coefficient function. Zbl 0859.34063Alpay, D.; Gohberg, I.; Sakhnovich, L. 3 1996 Spectral problems on half-axis. Zbl 0926.34016Sakhnovich, L. A. 1 1996 Nonlinear equations and inverse spectral problems on the axis. Zbl 0843.34021Sakhnovich, L. A. 3 1995 An operator approach to the Potapov scheme for the solution of interpolation problems. Zbl 0835.47012Ivanchenko, T. S.; Sakhnovich, L. A. 11 1994 Matrix and operator valued functions. The Vladimir Petrovich Potapov memorial volume. Zbl 0797.00015 4 1994 Inverse problems for equations systems. Zbl 0831.47037Sakhnovich, L. A. 3 1994 On a hypothesis concerning Hamiltonians of canonical systems. Zbl 0839.34047Sakhnovich, L. A. 3 1994 Operator approach to interpolation problem. Zbl 0829.47013Ivanchenko, T. S.; Sakhnovich, L. A. 1 1994 Spectral problems for canonical systems of equations on the axis. Zbl 0913.34068Sakhnovich, Lev A. 1 1994 Method of operator identities and problems of analysis. Zbl 0823.47017Sakhnovich, L. A. 7 1993 Interpolation problems, inverse spectral problems and nonlinear equations. Zbl 0793.47012Sakhnovich, L. A. 2 1992 On singular explicit solutions of the modified KdV equation. Zbl 0836.35139Sakhnovich, L. A. 1 1992 Integrable nonlinear equations on a half-axis. Zbl 0779.35103Sakhnovich, L. A. 2 1991 Two-sided estimation of the smallest eigenvalue of an operator characterizing stable processes. Zbl 0774.60019Pozin, S. M.; Sakhnovich, L. A. 1 1991 The sinh-Gordon equation. Zbl 0747.35041Sakhnovich, L. A. 1 1991 Integrable nonlinear equations on a halfaxis. Zbl 0766.35046Sakhnovich, L. A. 1 1991 A two-sided bound of the least eigen-value of an operator characterizing stable processes. Zbl 0727.60019Pozin, S. M.; Sakhnovich, L. A. 1 1991 Efficient solution of the sh-Gordon equation. Zbl 0729.35129Sakhnovich, L. A.; Tydnyuk, I. F. 5 1990 Explicit formulas for spectral characteristics and solutions of the sh- Gordon equation. Zbl 0737.35106Sakhnovich, L. A. 1 1990 Evolution of spectral data and nonlinear equations. Zbl 0683.35068Sakhnovich, L. A. 5 1988 Spectral problems for systems of equations on the line. Zbl 0666.34025Sakhnovich, L. A. 1 1988 Operator identities in the theory of interpolation problems. Zbl 0633.30032Ivanchenko, T. S.; Sakhnovich, L. A. 4 1987 An operator approach to V.P. Potapov’s scheme for the investigation of interpolation problems. Zbl 0701.47019Ivanchenko, T. S.; Sakhnovich, L. A. 4 1987 Factorization problems and operator identities. Zbl 0613.47017Sakhnovich, L. A. 41 1986 Inverse spectral problems for systems of equations. Zbl 0617.47012Sakhnovich, L. A. 1 1985 Abel’s integral equations in the theory of stable processes. Zbl 0567.45005Sakhnovich, L. A. 1 1984 Class of integrodifferential equations. Zbl 0507.45014Sakhnovich, L. A. 1 1983 Asymptotics of the spectrum of anharmonic oscillator. Zbl 0457.34033Sakhnovich, L. A. 1 1981 Equations with a difference kernel on a finite interval. Zbl 0462.45008Sakhnovich, L. A. 11 1980 Equations with a difference kernel on a finite interval. Zbl 0444.45008Sakhnovich, L. A. 5 1980 Systems of equations with difference kernels. Zbl 0443.45009Sakhnovich, L. A. 2 1980 Factorization of operators in \(L^ 2(\)a,b). Zbl 0499.47014Sakhnovich, L. A. 1 1980 Triangular integro-differential operators with a difference kernel. (Dreiecks-Integrodifferentialoperatoren mit Differenzenkern.) Zbl 0394.47024Sakhnovich, L. A. 1 1978 On the factorization of an operator-valued transfer function. Zbl 0342.93022Sakhnovich, L. A. 31 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 0305.45011Sakhnovich, L. A. 2 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 0305.45004Sakhnovich, L. A. 7 1973 Similarity of operators. Zbl 0261.47007Sakhnovich, L. A. 1 1973 The invariance principle for generalized wave operators. Zbl 0234.47003Sakhnovich, L. A. 5 1971 On similarity of linear operators. Zbl 0232.47004Sakhnovich, L. A. 3 1971 Generalized wave operators. Zbl 0215.21001Sakhnovich, L. A. 4 1970 Generalized wave operators. (Verallgemeinerte Wellenoperatoren.) Zbl 0213.14603Sakhnovich, L. A. 1 1970 Dissipative Volterra operators. Zbl 0181.12201Sakhnovich, L. A. 1 1969 Dissipative Operatoren mit absolut-stetigem Spektrum. Zbl 0179.46802Sakhnovich, L. A. 11 1968 Operators which are similar to unitary operators with absolutely continuous spectrum. Zbl 0183.41803Sakhnovich, L. A. 10 1968 Dissipative operators with absolutely continuous spectrum. Zbl 0193.43403Sakhnovich, L. A. 8 1968 Über dissipative Volterraoperatoren. Zbl 0169.44901Sakhnovich, L. A. 1 1968 Nonunitary operators with absolutely continuous spectrum on the unit circle. Zbl 0183.41802Sakhnovich, L. A. 1 1968 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 260 Authors 45 Sakhnovich, Alexander L. 40 Sakhnovych, Lev Aronovych 17 Fritzsche, Bernd 17 Kirstein, Bernd 12 Yang, Chuanfu 10 Bondarenko, Natalia P. 8 Arov, Damir Zyamovich 8 Bolotnikov, Vladimir 8 Dym, Harry 7 Chen, Gongning 7 Roitberg, Inna Ya. 6 Denisov, Sergey A. 6 Gohberg, Israel 6 Kaashoek, Marinus Adriaan 6 Malamud, Mark M. 6 Wang, Yuping 5 Alpay, Daniel Aron 5 Gesztesy, Fritz 5 Hu, Yongjian 5 Lerer, Leonid Efimovich 5 Mädler, Conrad 5 Yurko, Vjacheslav Anatoljevich 4 Dyukarev, Yury M. 4 Koyunbakan, Hikmet 4 Mogilevskii, Vadim 4 Ran, André C. M. 4 Shieh, Chung-Tsun 4 Winkler, Henrik 3 Barseghyan, Ani G. 3 Bart, Harm 3 Clark, Steve 3 Duan, Xuefeng 3 Jørgensen, Palle E. T. 3 Kroon, Leo G. 3 Pedersen, Steen 3 Teschl, Gerald 3 Tian, Feng 3 Xu, Xiaochuan 2 Adalar, Ibrahim 2 Al-Dubiban, Asmaa M. 2 Ball, Joseph Anthony 2 Bastos, Maria Amélia 2 Brown, B. Malcolm 2 Buterin, Sergey Alexandrovich 2 Deift, Percy A. 2 Eckhardt, Jonathan 2 Fang, Liang 2 Ismailov, Mansur I. 2 Ivanchenko, T. S. 2 Khromov, Avgust Petrovich 2 Klaus, Martin 2 Korotyaev, Evgeny L. 2 Kostenko, Aleksey S. 2 Liao, Anping 2 Mitrouli, Marilena 2 Naboko, Serguei N. 2 Nikol’skiĭ, Nikolaĭ Kapitonovich 2 Olshevsky, Vadim 2 Ozkan, Ahmet Sinan 2 Petersen, Mark Adam 2 Pozin, S. M. 2 Remling, Christian 2 Rodman, Leiba X. 2 Romanov, Roman V. 2 Rovnyak, James 2 Ryzhov, Vladimir Anatol’evich 2 Stirling, David S. G. 2 Suzuki, Masatoshi 2 Tarasenko, Anna A. 2 Tkachenko, Vadim Aleksandrovich 2 Tsekanovskii, Eduard R. 2 Woracek, Harald 2 Yin, Xiaoyan 2 Zemánek, Petr 1 Akhtyamov, Azamat Moukhtarovich 1 Aktosun, Tuncay 1 Alegría, Pedro 1 Anderssen, Robert Scott 1 Annunziato, Mario 1 Arlins’kyĭ, Yuriĭ Moĭseĭovych 1 Athanassoulis, Gerassimos A. 1 Aydemir, Kadriye 1 Barrera Acevedo, Santiago 1 Belishev, Mikhail Igorevitch 1 Belyi, Sergey V. 1 Birman, Mikhail Shlëmovich 1 Borisova, Galina S. 1 Boros, Tibor 1 Boumenir, Amin A. 1 Boutet de Monvel, Anne Marie 1 Boyko, Olga 1 Brunnhuber, Rainer 1 Cariow, Aleksandr 1 Cheng, Qiyuan 1 Choque Rivero, Abdon Eddy 1 Chvartatskyi, Oleksandr 1 Cichoń, Dariusz 1 Cieśliński, Jan L. 1 Clark, Stephen L. 1 Cockburn, Juan C. ...and 160 more Authors all top 5 Cited in 96 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. 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