Edit Profile Arov, Damir Zyamovich Compute Distance To: Compute Author ID: arov.damir-zyamovich Published as: Arov, D. Z.; Arov, Damir Z.; Arov, Damir Zyamovich Documents Indexed: 139 Publications since 1962, including 3 Books Biographic References: 4 Publications all top 5 Co-Authors 42 single-authored 27 Dym, Harry 15 Adamyan, Vadym Movsesovych 13 Staffans, Olof Johan 9 Fritzsche, Bernd 9 Kirstein, Bernd 9 Kreĭn, Mark Grigor’evich 6 Kaashoek, Marinus Adriaan 6 Pik, D. R. 5 Rozhenko, Natalia A. 3 Bobrov, A. A. 3 Kurula, Mikael 3 Nudel’man, M. A. 2 Berezans’kyĭ, Yuriĭ Makarovych 2 Gavrilyuk, Ivan P. 2 Gorbachuk, Myroslav L’vovych 2 Gorbachuk, Valentyna Ivanivna 2 Grossman, L. Z. 2 Mikhailets, Volodymyr A. 2 Sakhnovych, Lev Aronovych 2 Samoĭlenko, Anatoliĭ Mykhaĭlovych 2 Saprikin, S. M. 2 Simakova, L. A. 2 Yakubovich, Vladimir Andreevich 1 Abramovich, Yuri I. 1 Böhme, Johann F. 1 Bondarchuk, N. V. 1 Dubovoj, Vladimir Kirillovich 1 Ginzburg, Yu. P. 1 Katsnelson, Victor Emanuelovich 1 Livšic, Mikhail Samuilovich (Moshe) 1 Maiwald, D. 1 Makarov, Volodymyr Leonidovich 1 Nudelman, Adolf Abramovich 1 Pozin, S. M. 1 Rovnyak, James all top 5 Serials 19 Integral Equations and Operator Theory 8 Functional Analysis and its Applications 6 Journal of Functional Analysis 5 Soviet Mathematics. Doklady 4 Mathematical Notes 4 Journal of Soviet Mathematics 4 Mathematische Nachrichten 3 Ukraïns’kyĭ Matematychnyĭ Zhurnal 3 Journal of Operator Theory 3 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 3 St. Petersburg Mathematical Journal 3 Methods of Functional Analysis and Topology 2 Matematicheskie Zametki 2 Theory of Probability and its Applications 2 Acta Scientiarum Mathematicarum 2 Indiana University Mathematics Journal 2 Siberian Mathematical Journal 2 Soviet Physics. Doklady 2 Journal of Mathematical Sciences (New York) 2 Encyclopedia of Mathematics and Its Applications 2 Translations. Series 2. American Mathematical Society 2 Complex Analysis and Operator Theory 1 Journal of Mathematical Analysis and Applications 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 1 Akademiya Nauk Armyanskoĭ SSR. Doklady 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematics of the USSR. Izvestiya 1 Numerical Functional Analysis and Optimization 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Zeitschrift für Analysis und ihre Anwendungen 1 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Linear Algebra and its Applications 1 Mathematics of the USSR, Sbornik 1 Vestnik Leningrad University. Mathematics 1 International Journal of Robust and Nonlinear Control 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Matematicheskaya Fizika, Analiz, Geometriya 1 Sbornik: Mathematics 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Operator Theory: Advances and Applications all top 5 Fields 97 Operator theory (47-XX) 42 Functions of a complex variable (30-XX) 30 Systems theory; control (93-XX) 22 Functional analysis (46-XX) 21 Ordinary differential equations (34-XX) 14 Information and communication theory, circuits (94-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Approximations and expansions (41-XX) 6 History and biography (01-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Integral equations (45-XX) 3 Probability theory and stochastic processes (60-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 104 Publications have been cited 982 times in 580 Documents Cited by ▼ Year ▼ Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur-Takagi problem. Zbl 0248.47019Adamjan, V. M.; Arov, D. Z.; Krein, M. G. 145 1972 Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems. Zbl 0174.45203Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 88 1968 \(J\)-contractive matrix valued functions and related topics. Zbl 1159.30001Arov, Damir Z.; Dym, Harry 44 2008 Infinite Hankel block matrices and related extension problems. Zbl 0386.15019Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 40 1978 Analytische Eigenschaften von Schmidtschen Paaren des Hankelschen Operators und das verallgemeinerte Problem von Schur-Takagi. Zbl 0243.47023Adamjan, V. M.; Arov, D. Z.; Krein, M. G. 36 1971 Problem of search of the minimum of entropy in indeterminate extension problems. Zbl 0484.46060Arov, D. Z.; Krejn, M. G. 29 1981 Passive linear stationary dynamical scattering systems with continuous time. Zbl 0838.47004Arov, D. Z.; Nudelman, M. A. 27 1996 The extreme terms of a sample and their role in the sum of independent variables. Zbl 0098.11202Arov, D. Z.; Bobrov, A. A. 27 1962 Passive linear stationary dynamical systems. Zbl 0414.93014Arov, D. Z. 26 1979 On unitary couplings of semiunitary operators. Zbl 0258.47012Adamjan, V. M.; Arov, D. Z. 22 1966 On the computation of entropy functionals and their minima in indeterminate extension problems. Zbl 0556.47013Arov, D. Z.; Kreĭn, M. G. 21 1983 Infinite Hankel matrices and generalized Caratheodory-Fejer and I. Schur problems. Zbl 0179.46701Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 20 1968 Scattering matrices in the theory of unitary extension of isometric operators. Zbl 0777.47007Arov, D. Z.; Grossman, L. Z. 19 1992 Realisation von Matrizenfunktionen nach Darlington. Zbl 0316.30036Arov, D. Z. 19 1973 Bitangential direct and inverse problems for systems of integral and differential equations. Zbl 1264.34004Arov, Damir Z.; Dym, Harry 17 2012 \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. I: Foundations. Zbl 0902.30026Arov, Damir Z.; Dym, Harry 17 1997 Scattering matrices in the teory of dilations of isometric operators. Zbl 0543.47010Arov, D. Z.; Grossman, L. Z. 17 1983 Darlington realization of matrix-valued functions. Zbl 0316.30037Arov, D. Z. 17 1975 Stable dissipative linear stationary dynamical scattering systems. Zbl 0461.47005Arov, D. Z. 16 1979 \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. III: More on the inverse monodromy problem. Zbl 0998.30037Arov, Damir Z.; Dym, Harry 10 2000 A method for solving initial value problems for linear differential equations in Hilbert space based on the Cayley transform. Zbl 0798.34064Arov, Damir Z.; Gavrilyuk, Ivan P. 10 1993 On three Klein extension problems and some generalizations. Zbl 0909.30030Arov, Damir Z.; Dym, Harry 9 1998 Regular J-inner matrix-functions and related continuation problems. Zbl 0699.15009Arov, D. Z. 9 1990 Passive linear stationary dynamic systems. Zbl 0437.93019Arov, D. Z. 9 1979 Two canonical passive state/signal shift realizations of passive discrete time behaviors. Zbl 1190.47014Arov, Damir Z.; Staffans, Olof J. 8 2009 State/signal linear time-invariant systems theory. III: Transmission and impedance representations of discrete time systems. Zbl 1190.47092Arov, Damir Z.; Staffans, Olof J. 8 2007 State/signal linear time-invariant systems theory. IV: Affine and generalized transfer functions of discrete time systems. Zbl 1149.47059Arov, Damir Z.; Staffans, Olof J. 8 2007 State-signal linear time-invariant systems theory. I: Discrete time systems. Zbl 1114.47014Arov, Damir Z.; Staffans, Olof J. 8 2006 \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. II: The inverse monodromy problem. Zbl 0951.30029Arov, Damir Z.; Dym, Harry 8 2000 Minimal and optimal linear discrete time-invariant dissipative scattering systems. Zbl 0898.47005Arov, D. Z.; Kaashoek, M. A.; Pik, D. R. 8 1997 State/signal linear time-invariant systems theory: Passive discrete time systems. Zbl 1113.93072Arov, Damir Z.; Staffans, Olof J. 7 2007 \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. IV: Direct and inverse bitangential input scattering problems. Zbl 1040.34012Arov, Damir Z.; Dym, Harry 7 2002 Gamma-generating matrices, \(J\)-inner matrix functions and related extrapolation problems. IV. Zbl 0844.47011Arov, D. Z. 7 1995 Completion problems for \(j_{pq}\)-inner functions. I. Zbl 0781.70008Arov, D. Z.; Fritzsche, B.; Kirstein, B. 7 1993 On unitary couplings with losses (scattering theory with losses). Zbl 0307.47010Arov, D. Z. 7 1974 Darlington’s method for dissipative systems. Zbl 0246.47035Arov, D. Z. 7 1971 The Kalman-Yakubovich-Popov inequality for discrete time systems of infinite dimension. Zbl 1117.47005Arov, D. Z.; Kaashoek, M. A.; Pik, D. R. 6 2006 \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. V: The inverse input scattering problem for Wiener class and rational \(p\times q\) input scattering matrices. Zbl 1009.34007Arov, Damir Z.; Dym, Harry 6 2002 Matricial Nehari problems, \(J\)-inner matrix functions and the Muckenhoupt condition. Zbl 0980.47014Arov, Damir Z.; Dym, Harry 6 2001 Passive linear systems and scattering theory. Zbl 0921.93005Arov, D. Z. 6 1999 Gamma-generating matrices, j-internal matrix-functions and extrapolation problems connected with them. I. Zbl 0701.41006Arov, D. Z. 6 1989 A class of scattering operators and of characteristic operator-functions of contractions. Zbl 0125.35001Adamyan, V. M.; Arov, D. Z. 6 1965 A Kreĭn space coordinate free version of the de Branges complementary space. Zbl 1180.46018Arov, Damir Z.; Staffans, Olof J. 5 2009 The infinite-dimensional continuous time Kalman–Yakubovich–Popov inequality. Zbl 1111.47013Arov, Damir Z.; Staffans, Olof J. 5 2006 Conditions for the similarity of all minimal passive realizations of a given transfer function (scattering and resistance matrices). Zbl 1085.47016Arov, D. Z.; Nudel’man, M. A. 5 2002 Representation and approximation of solutions of initial value problems for differential equations in Hilbert space based on the Cayley transform. Zbl 0828.34045Arov, D. Z.; Gavrilyuk, I. P.; Makarov, V. L. 5 1995 Completion problems for \(j_{pq}\)-inner functions. II. Zbl 0782.30028Arov, D. Z.; Fritzsche, B.; Kirstein, B. 5 1993 On some completion problems for various subclasses of \({\mathcal J}_{pq}\)- inner functions. Zbl 0781.30029Arov, D. Z.; Fritzsche, B.; Kirstein, B. 5 1992 Gamma-generating matrices, j-inner matrix-functions, and related extrapolation problems. III. Zbl 0784.47028Arov, D. Z. 5 1990 On functions of the class \(\Pi\). Zbl 0559.47009Arov, D. Z. 5 1984 Scattering theory with dissipation of energy. With Addenda (added in translation). Zbl 0315.47005Arov, D. Z. 5 1974 Canonical state/signal shift realizations of passive continuous time behaviors. Zbl 1226.93036Arov, Damir Z.; Kurula, Mikael; Staffans, Olof J. 4 2011 Canonical conservative state/signal shift realizations of passive discrete time behaviors. Zbl 1216.47015Arov, Damir Z.; Staffans, Olof J. 4 2010 Criteria for the strong regularity of \(J\)-inner functions and \(\gamma\)-generating matrices. Zbl 1044.47012Arov, Damir Z.; Dym, Harry 4 2003 Criterion of unitary similarity of minimal passive scattering systems with a given transfer function. Zbl 0974.47007Arov, D. Z.; Nudel’man, M. A. 4 2000 On block completion problems for \(j_{qq}-J_ q\)-inner functions. I: The case of a given block column. Zbl 0807.30027Arov, D. Z.; Fritzsche, B.; Kirstein, B. 4 1994 Gamma-generating matrices, j-inner matrix function and related extrapolation problems. I. Zbl 0718.41004Arov, D. Z. 4 1990 Conditions of semiboundedness of quadratic functionals on Hardy spaces. Zbl 0493.30029Arov, D. Z.; Yakubovich, V. A. 4 1982 Boundary values of a convergent sequence of J-contractive matrix- functions. Zbl 0346.15004Arov, D. Z.; Simakova, L. A. 4 1976 On the topological similarity of automorphisms and translations of compact commutative groups. Zbl 0128.02904Arov, D. Z. 4 1963 Multivariate prediction, de Branges spaces, and related extension and inverse problems. Zbl 1440.60004Arov, Damir Z.; Dym, Harry 3 2018 Boundary control state/signal systems and boundary triplets. Zbl 1294.47017Arov, Damir Z.; Kurula, Mikael; Staffans, Olof J. 3 2012 The bitangential inverse spectral problem for canonical systems. Zbl 1073.34012Arov, Damir Z.; Dym, Harry 3 2004 The bitangential inverse input impedance problem for canonical systems. I: Weyl-Titchmarsh classification, existence and uniqueness. Zbl 1042.34025Arov, Damir Z.; Dym, Harry 3 2003 Stable dissipative linear stationary dynamical scattering systems. Zbl 1049.47005Arov, D. Z. 3 2002 On monotone families of \(J\)-contractive matrix-valued functions. Zbl 0907.41017Arov, D. Z. 3 1997 On block completion problems for various subclasses of \(j_{pq}\)-inner functions. Zbl 1107.30306Arov, D. Z.; Fritzsche, B.; Kirstein, B. 3 1993 The generalized bitangent Carathéodory-Nevanlinna-Pick problem, and \((j,J_ 0)\)-inner matrix-valued functions. Zbl 0797.30030Arov, D. Z. 3 1993 Regular and singular J-inner matrix-functions and the corresponding interpolation problems. Zbl 0661.30029Arov, D. Z. 3 1988 Optimal and stable passive systems. Zbl 0479.93020Arov, D. Z. 3 1979 A general solution of a problem in linear prediction of stationary processes. Zbl 0165.20604Adamyan, V. M.; Arov, D. Z. 3 1968 Bi-inner dilations and bi-stable passive scattering realizations of Schur class operator-valued functions. Zbl 1191.47013Arov, Damir Z.; Staffans, Olof J. 2 2008 Direct and inverse asymptotic scattering problems for Dirac–Krein systems. Zbl 1156.47010Arov, D. Z.; Dym, H. 2 2007 Passive impedance systems with losses of scattering channels. Zbl 1144.47330Arov, D. Z.; Rozhenko, N. A. 2 2007 Linear passive stationary scattering systems with Pontryagin state spaces. Zbl 1118.47061Arov, D. Z.; Rovnyak, J.; Saprikin, S. M. 2 2006 Direct and inverse problems for differential systems connected with Dirac systems and related factorization problems. Zbl 1119.47047Arov, Damir Z.; Dym, Harry 2 2005 Strongly regular \(J\)-inner matrix-valued functions and inverse problems for canonical systems. Zbl 1094.34008Arov, Damir Z.; Dym, Harry 2 2005 The bitangential inverse input impedance problem for canonical systems. II. Formulas and examples. Zbl 1067.34007Arov, Damir Z.; Dym, Harry 2 2005 Maximal solutions for embedding problem for a generalized Schur function and optimal dissipative scattering systems with Pontryagin state spaces. Zbl 0992.47004Arov, D. Z.; Saprikin, S. M. 2 2001 Optimal time-variant systems and factorization of operators. I: Minimal and optimal systems. Zbl 0927.47006Arov, D. Z.; Kaashoek, M. A.; Pik, D. R. 2 1998 A function-theoretic approach to a parametrization of the set of solutions of a completely indeterminate matricial Nehari problem. Zbl 0897.30016Arov, D. Z.; Fritzsche, B.; Kirstein, B. 2 1998 Computation of the resolvent matrix for the generalized bitangential Schur- and Carathéodory-Nevanlinna-Pick interpolation problems in the strictly completely indeterminate case. Zbl 0854.47009Arov, D. Z. 2 1995 The influence of V. P. Potapov and M. G. Kreĭn on my scientific work. Zbl 0820.47014Arov, D. Z. 2 1994 On block completion problems for \(j_{qq}-J_ q\)-inner functions. II: The case of a given \(q\times q\) block. Zbl 0831.47012Arov, D. Z.; Fritzsche, B.; Kirstein, B. 2 1994 Über die Randwerte einer konvergenten Folge von J-kontrahierenden Matrixfunktionen. Zbl 0335.15027Arov, D. Z.; Simakova, L. A. 2 1976 A general solution of a problem in linear prediction of stationary processes. Zbl 0179.23802Adamyan, V. M.; Arov, D. Z. 2 1968 Functional models of operators and their multivalued extensions in Hilbert space. Zbl 07243099Arov, Damir Z.; Dym, Harry 1 2020 Applications of de Branges spaces of vector-valued functions. Zbl 1348.46032Arov, Damir Z.; Dym, Harry 1 2015 De Branges spaces of vector-valued functions. Zbl 1348.46031Arov, Damir Z.; Dym, Harry 1 2015 Passive state/signal systems and conservative boundary relations. Zbl 1306.47015Arov, Damir Z.; Kurula, Mikael; Staffans, Olof J. 1 2012 On the theory of passive resistance systems with losses of scattering channels. Zbl 1196.47011Arov, D. Z.; Rozhenko, N. A. 1 2009 Bitangential direct and inverse problems for systems of differential equations. Zbl 1171.34003Arov, Damir Z.; Dym, Harry 1 2008 Strongly regular \(J\)-inner matrix functions and related problems. Zbl 1091.47013Arov, Damir Z.; Dym, Harry 1 2004 Some remarks on the inverse monodromy problem for \(2\times 2\) canonical differential systems. Zbl 0980.47015Arov, Damir Z.; Dym, Harry 1 2001 Optimal time-variant systems and factorization of operators. II: Factorization. Zbl 0992.47008Arov, D. Z.; Kaashoek, M. A.; Pik, D. R. 1 2000 On strictly positive compressions of block Toeplitz operators. Zbl 0906.47018Arov, D. Z. 1 1997 On some aspects of V. E. Katsnelson’s investigations on interrelations between left and right Blaschke-Potapov products. Zbl 0869.47009Arov, D. Z.; Fritzsche, B.; Kirstein, B. 1 1995 On the regular \(j\)-inner matrix-functions and the regular \(\gamma\)- generating matrices. Zbl 0809.15015Arov, D. Z. 1 1994 Some problems in the theory of linear stationary passive systems. Zbl 0629.93018Arov, D. Z. 1 1987 Functions of class \(\Pi\). Zbl 0572.47005Arov, D. Z. 1 1985 Functional models of operators and their multivalued extensions in Hilbert space. Zbl 07243099Arov, Damir Z.; Dym, Harry 1 2020 Multivariate prediction, de Branges spaces, and related extension and inverse problems. Zbl 1440.60004Arov, Damir Z.; Dym, Harry 3 2018 Applications of de Branges spaces of vector-valued functions. Zbl 1348.46032Arov, Damir Z.; Dym, Harry 1 2015 De Branges spaces of vector-valued functions. Zbl 1348.46031Arov, Damir Z.; Dym, Harry 1 2015 Bitangential direct and inverse problems for systems of integral and differential equations. Zbl 1264.34004Arov, Damir Z.; Dym, Harry 17 2012 Boundary control state/signal systems and boundary triplets. Zbl 1294.47017Arov, Damir Z.; Kurula, Mikael; Staffans, Olof J. 3 2012 Passive state/signal systems and conservative boundary relations. Zbl 1306.47015Arov, Damir Z.; Kurula, Mikael; Staffans, Olof J. 1 2012 Canonical state/signal shift realizations of passive continuous time behaviors. Zbl 1226.93036Arov, Damir Z.; Kurula, Mikael; Staffans, Olof J. 4 2011 Canonical conservative state/signal shift realizations of passive discrete time behaviors. Zbl 1216.47015Arov, Damir Z.; Staffans, Olof J. 4 2010 Two canonical passive state/signal shift realizations of passive discrete time behaviors. Zbl 1190.47014Arov, Damir Z.; Staffans, Olof J. 8 2009 A Kreĭn space coordinate free version of the de Branges complementary space. Zbl 1180.46018Arov, Damir Z.; Staffans, Olof J. 5 2009 On the theory of passive resistance systems with losses of scattering channels. Zbl 1196.47011Arov, D. Z.; Rozhenko, N. A. 1 2009 \(J\)-contractive matrix valued functions and related topics. Zbl 1159.30001Arov, Damir Z.; Dym, Harry 44 2008 Bi-inner dilations and bi-stable passive scattering realizations of Schur class operator-valued functions. Zbl 1191.47013Arov, Damir Z.; Staffans, Olof J. 2 2008 Bitangential direct and inverse problems for systems of differential equations. Zbl 1171.34003Arov, Damir Z.; Dym, Harry 1 2008 State/signal linear time-invariant systems theory. III: Transmission and impedance representations of discrete time systems. Zbl 1190.47092Arov, Damir Z.; Staffans, Olof J. 8 2007 State/signal linear time-invariant systems theory. IV: Affine and generalized transfer functions of discrete time systems. Zbl 1149.47059Arov, Damir Z.; Staffans, Olof J. 8 2007 State/signal linear time-invariant systems theory: Passive discrete time systems. Zbl 1113.93072Arov, Damir Z.; Staffans, Olof J. 7 2007 Direct and inverse asymptotic scattering problems for Dirac–Krein systems. Zbl 1156.47010Arov, D. Z.; Dym, H. 2 2007 Passive impedance systems with losses of scattering channels. Zbl 1144.47330Arov, D. Z.; Rozhenko, N. A. 2 2007 State-signal linear time-invariant systems theory. I: Discrete time systems. Zbl 1114.47014Arov, Damir Z.; Staffans, Olof J. 8 2006 The Kalman-Yakubovich-Popov inequality for discrete time systems of infinite dimension. Zbl 1117.47005Arov, D. Z.; Kaashoek, M. A.; Pik, D. R. 6 2006 The infinite-dimensional continuous time Kalman–Yakubovich–Popov inequality. Zbl 1111.47013Arov, Damir Z.; Staffans, Olof J. 5 2006 Linear passive stationary scattering systems with Pontryagin state spaces. Zbl 1118.47061Arov, D. Z.; Rovnyak, J.; Saprikin, S. M. 2 2006 Direct and inverse problems for differential systems connected with Dirac systems and related factorization problems. Zbl 1119.47047Arov, Damir Z.; Dym, Harry 2 2005 Strongly regular \(J\)-inner matrix-valued functions and inverse problems for canonical systems. Zbl 1094.34008Arov, Damir Z.; Dym, Harry 2 2005 The bitangential inverse input impedance problem for canonical systems. II. Formulas and examples. Zbl 1067.34007Arov, Damir Z.; Dym, Harry 2 2005 The bitangential inverse spectral problem for canonical systems. Zbl 1073.34012Arov, Damir Z.; Dym, Harry 3 2004 Strongly regular \(J\)-inner matrix functions and related problems. Zbl 1091.47013Arov, Damir Z.; Dym, Harry 1 2004 Criteria for the strong regularity of \(J\)-inner functions and \(\gamma\)-generating matrices. Zbl 1044.47012Arov, Damir Z.; Dym, Harry 4 2003 The bitangential inverse input impedance problem for canonical systems. I: Weyl-Titchmarsh classification, existence and uniqueness. Zbl 1042.34025Arov, Damir Z.; Dym, Harry 3 2003 \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. IV: Direct and inverse bitangential input scattering problems. Zbl 1040.34012Arov, Damir Z.; Dym, Harry 7 2002 \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. V: The inverse input scattering problem for Wiener class and rational \(p\times q\) input scattering matrices. Zbl 1009.34007Arov, Damir Z.; Dym, Harry 6 2002 Conditions for the similarity of all minimal passive realizations of a given transfer function (scattering and resistance matrices). Zbl 1085.47016Arov, D. Z.; Nudel’man, M. A. 5 2002 Stable dissipative linear stationary dynamical scattering systems. Zbl 1049.47005Arov, D. Z. 3 2002 Matricial Nehari problems, \(J\)-inner matrix functions and the Muckenhoupt condition. Zbl 0980.47014Arov, Damir Z.; Dym, Harry 6 2001 Maximal solutions for embedding problem for a generalized Schur function and optimal dissipative scattering systems with Pontryagin state spaces. Zbl 0992.47004Arov, D. Z.; Saprikin, S. M. 2 2001 Some remarks on the inverse monodromy problem for \(2\times 2\) canonical differential systems. Zbl 0980.47015Arov, Damir Z.; Dym, Harry 1 2001 \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. III: More on the inverse monodromy problem. Zbl 0998.30037Arov, Damir Z.; Dym, Harry 10 2000 \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. II: The inverse monodromy problem. Zbl 0951.30029Arov, Damir Z.; Dym, Harry 8 2000 Criterion of unitary similarity of minimal passive scattering systems with a given transfer function. Zbl 0974.47007Arov, D. Z.; Nudel’man, M. A. 4 2000 Optimal time-variant systems and factorization of operators. II: Factorization. Zbl 0992.47008Arov, D. Z.; Kaashoek, M. A.; Pik, D. R. 1 2000 Passive linear systems and scattering theory. Zbl 0921.93005Arov, D. Z. 6 1999 On three Klein extension problems and some generalizations. Zbl 0909.30030Arov, Damir Z.; Dym, Harry 9 1998 Optimal time-variant systems and factorization of operators. I: Minimal and optimal systems. Zbl 0927.47006Arov, D. Z.; Kaashoek, M. A.; Pik, D. R. 2 1998 A function-theoretic approach to a parametrization of the set of solutions of a completely indeterminate matricial Nehari problem. Zbl 0897.30016Arov, D. Z.; Fritzsche, B.; Kirstein, B. 2 1998 \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. I: Foundations. Zbl 0902.30026Arov, Damir Z.; Dym, Harry 17 1997 Minimal and optimal linear discrete time-invariant dissipative scattering systems. Zbl 0898.47005Arov, D. Z.; Kaashoek, M. A.; Pik, D. R. 8 1997 On monotone families of \(J\)-contractive matrix-valued functions. Zbl 0907.41017Arov, D. Z. 3 1997 On strictly positive compressions of block Toeplitz operators. Zbl 0906.47018Arov, D. Z. 1 1997 Passive linear stationary dynamical scattering systems with continuous time. Zbl 0838.47004Arov, D. Z.; Nudelman, M. A. 27 1996 Gamma-generating matrices, \(J\)-inner matrix functions and related extrapolation problems. IV. Zbl 0844.47011Arov, D. Z. 7 1995 Representation and approximation of solutions of initial value problems for differential equations in Hilbert space based on the Cayley transform. Zbl 0828.34045Arov, D. Z.; Gavrilyuk, I. P.; Makarov, V. L. 5 1995 Computation of the resolvent matrix for the generalized bitangential Schur- and Carathéodory-Nevanlinna-Pick interpolation problems in the strictly completely indeterminate case. Zbl 0854.47009Arov, D. Z. 2 1995 On some aspects of V. E. Katsnelson’s investigations on interrelations between left and right Blaschke-Potapov products. Zbl 0869.47009Arov, D. Z.; Fritzsche, B.; Kirstein, B. 1 1995 On block completion problems for \(j_{qq}-J_ q\)-inner functions. I: The case of a given block column. Zbl 0807.30027Arov, D. Z.; Fritzsche, B.; Kirstein, B. 4 1994 The influence of V. P. Potapov and M. G. Kreĭn on my scientific work. Zbl 0820.47014Arov, D. Z. 2 1994 On block completion problems for \(j_{qq}-J_ q\)-inner functions. II: The case of a given \(q\times q\) block. Zbl 0831.47012Arov, D. Z.; Fritzsche, B.; Kirstein, B. 2 1994 On the regular \(j\)-inner matrix-functions and the regular \(\gamma\)- generating matrices. Zbl 0809.15015Arov, D. Z. 1 1994 A method for solving initial value problems for linear differential equations in Hilbert space based on the Cayley transform. Zbl 0798.34064Arov, Damir Z.; Gavrilyuk, Ivan P. 10 1993 Completion problems for \(j_{pq}\)-inner functions. I. Zbl 0781.70008Arov, D. Z.; Fritzsche, B.; Kirstein, B. 7 1993 Completion problems for \(j_{pq}\)-inner functions. II. Zbl 0782.30028Arov, D. Z.; Fritzsche, B.; Kirstein, B. 5 1993 On block completion problems for various subclasses of \(j_{pq}\)-inner functions. Zbl 1107.30306Arov, D. Z.; Fritzsche, B.; Kirstein, B. 3 1993 The generalized bitangent Carathéodory-Nevanlinna-Pick problem, and \((j,J_ 0)\)-inner matrix-valued functions. Zbl 0797.30030Arov, D. Z. 3 1993 Scattering matrices in the theory of unitary extension of isometric operators. Zbl 0777.47007Arov, D. Z.; Grossman, L. Z. 19 1992 On some completion problems for various subclasses of \({\mathcal J}_{pq}\)- inner functions. Zbl 0781.30029Arov, D. Z.; Fritzsche, B.; Kirstein, B. 5 1992 Regular J-inner matrix-functions and related continuation problems. Zbl 0699.15009Arov, D. Z. 9 1990 Gamma-generating matrices, j-inner matrix-functions, and related extrapolation problems. III. Zbl 0784.47028Arov, D. Z. 5 1990 Gamma-generating matrices, j-inner matrix function and related extrapolation problems. I. Zbl 0718.41004Arov, D. Z. 4 1990 Gamma-generating matrices, j-internal matrix-functions and extrapolation problems connected with them. I. Zbl 0701.41006Arov, D. Z. 6 1989 Regular and singular J-inner matrix-functions and the corresponding interpolation problems. Zbl 0661.30029Arov, D. Z. 3 1988 Some problems in the theory of linear stationary passive systems. Zbl 0629.93018Arov, D. Z. 1 1987 Functions of class \(\Pi\). Zbl 0572.47005Arov, D. Z. 1 1985 On functions of the class \(\Pi\). Zbl 0559.47009Arov, D. Z. 5 1984 On the computation of entropy functionals and their minima in indeterminate extension problems. Zbl 0556.47013Arov, D. Z.; Kreĭn, M. G. 21 1983 Scattering matrices in the teory of dilations of isometric operators. Zbl 0543.47010Arov, D. Z.; Grossman, L. Z. 17 1983 Conditions of semiboundedness of quadratic functionals on Hardy spaces. Zbl 0493.30029Arov, D. Z.; Yakubovich, V. A. 4 1982 Problem of search of the minimum of entropy in indeterminate extension problems. Zbl 0484.46060Arov, D. Z.; Krejn, M. G. 29 1981 Passive linear stationary dynamical systems. Zbl 0414.93014Arov, D. Z. 26 1979 Stable dissipative linear stationary dynamical scattering systems. Zbl 0461.47005Arov, D. Z. 16 1979 Passive linear stationary dynamic systems. Zbl 0437.93019Arov, D. Z. 9 1979 Optimal and stable passive systems. Zbl 0479.93020Arov, D. Z. 3 1979 Infinite Hankel block matrices and related extension problems. Zbl 0386.15019Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 40 1978 Boundary values of a convergent sequence of J-contractive matrix- functions. Zbl 0346.15004Arov, D. Z.; Simakova, L. A. 4 1976 Über die Randwerte einer konvergenten Folge von J-kontrahierenden Matrixfunktionen. Zbl 0335.15027Arov, D. Z.; Simakova, L. A. 2 1976 The realization of a canonical system with dissipative boundary conditions at one end of a segment in terms of the coefficient of dynamic flexibility. Zbl 0336.30020Arov, D. Z. 1 1976 Darlington realization of matrix-valued functions. Zbl 0316.30037Arov, D. Z. 17 1975 On unitary couplings with losses (scattering theory with losses). Zbl 0307.47010Arov, D. Z. 7 1974 Scattering theory with dissipation of energy. With Addenda (added in translation). Zbl 0315.47005Arov, D. Z. 5 1974 Realisation von Matrizenfunktionen nach Darlington. Zbl 0316.30036Arov, D. Z. 19 1973 Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur-Takagi problem. Zbl 0248.47019Adamjan, V. M.; Arov, D. Z.; Krein, M. G. 145 1972 Analytische Eigenschaften von Schmidtschen Paaren des Hankelschen Operators und das verallgemeinerte Problem von Schur-Takagi. Zbl 0243.47023Adamjan, V. M.; Arov, D. Z.; Krein, M. G. 36 1971 Darlington’s method for dissipative systems. Zbl 0246.47035Arov, D. Z. 7 1971 Unendliche Hankelsche Blockmatrizen und mit ihnen zusammenhängende Fortsetzungsprobleme. Zbl 0311.15012Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 1 1971 Bounded operators that commute with a contraction of class \(C_{00}\) of unit rank of nonunitarity. Zbl 0198.48001Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 1 1969 Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems. Zbl 0174.45203Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 88 1968 Infinite Hankel matrices and generalized Caratheodory-Fejer and I. Schur problems. Zbl 0179.46701Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 20 1968 A general solution of a problem in linear prediction of stationary processes. Zbl 0165.20604Adamyan, V. M.; Arov, D. Z. 3 1968 A general solution of a problem in linear prediction of stationary processes. Zbl 0179.23802Adamyan, V. M.; Arov, D. Z. 2 1968 On unitary couplings of semiunitary operators. Zbl 0258.47012Adamjan, V. M.; Arov, D. Z. 22 1966 ...and 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 537 Authors 44 Arov, Damir Zyamovich 35 Dym, Harry 29 Fritzsche, Bernd 29 Kirstein, Bernd 21 Ball, Joseph Anthony 16 Staffans, Olof Johan 13 Foiaş, Ciprian Ilie 12 Tannenbaum, Allen Robert 10 Derkach, Vladimir Alexandrovich 9 Bolotnikov, Vladimir 9 Gavrilyuk, Ivan P. 9 Glover, Keith J. 9 Gohberg, Israel 7 Andersson, Fredrik K. 7 Baratchart, Laurent 7 Carlsson, Marcus 7 Curtain, Ruth Frances 7 Helton, John William 7 Lasarow, Andreas 7 Malamud, Mark M. 7 Sakhnovich, Alexander L. 6 Fuchs, Stefan H. 6 Gombani, Andrea 6 Kaashoek, Marinus Adriaan 6 Kaliuzhnyi-Verbovetskyi, Dmitry S. 6 Kurula, Mikael 6 Makarov, Volodymyr Leonidovich 6 Peller, Vladimir Vsevolodovich 6 Weiss, George 5 Alpay, Daniel Aron 5 Chen, Gongning 5 Constantinescu, Tiberiu 5 Frazho, Arthur E. 5 Hu, Yongjian 5 Jonckheere, Edmond A. 5 Kheifets, Alexander 5 Maller, Ross Arthur 5 Nudel’man, M. A. 5 Pavon, Michele 5 Vinnikov, Victor 5 Young, Nicholas John 5 Yuditskii, Peter Meerovich 4 Arlins’kyĭ, Yuriĭ Moĭseĭovych 4 Beylkin, Gregory 4 Chui, Charles Kam-tai 4 Dewilde, Patrick M. 4 Fuhrmann, Paul A. 4 Horváth, Lajos 4 Khargonekar, Pramod P. 4 Kimsey, David Patrick 4 Li, Xin 4 Marcantognini, Stefania A. M. 4 Monzón, Lucas 4 Morán, María Dolores 4 Opmeer, Mark R. 4 Özbay, Hitay 4 Popov, Igor’ Yur’evich 4 Prokhorov, Vasily A. 4 Sasane, Amol J. 4 Trefethen, Lloyd Nicholas 4 Yattselev, Maxim L. 4 Zhou, Tong 3 Adamyan, Vadym Movsesovych 3 Arocena, Rodrigo 3 Bercovici, Hari 3 Berkes, István 3 Cortina, Elsa 3 de Hoop, Maarten V. 3 Dubovoy, Vladimir K. 3 Feintuch, Avraham 3 Gheondea, Aurelian 3 Green, Michael M. 3 Gutknecht, Martin H. 3 Hassi, Seppo 3 Iftime, Orest V. 3 Jørgensen, Palle E. T. 3 Kiselev, Alexander V. 3 Kozubowski, Tomasz J. 3 Krug, Vera 3 Makila, Pertti M. 3 Mogilevskii, Vadim 3 Mustafa, Denis 3 Naboko, Serguei N. 3 Neidhardt, Hagen 3 Ober, Raimund J. 3 Panorska, Anna K. 3 Ran, André C. M. 3 Rozhenko, Natalia A. 3 ter Horst, Sanne 3 Tian, Feng 3 Tsekanovskii, Eduard R. 3 Wang, Leyi 3 Ward, Joseph Dinneen 3 Woerdeman, Hugo Jan 3 Zames, George 2 Agler, Jim 2 Alekseevskiĭ, Dmitriĭ Vladimirovich 2 Anderson, Brian David Outram 2 Astolfi, Alessandro 2 Bazarova, Alina ...and 437 more Authors all top 5 Cited in 121 Serials 73 Integral Equations and Operator Theory 45 Linear Algebra and its Applications 41 Journal of Functional Analysis 35 Systems & Control Letters 19 Complex Analysis and Operator Theory 18 Automatica 17 International Journal of Control 17 Journal of Mathematical Analysis and Applications 16 Journal of Mathematical Sciences (New York) 15 Journal of Approximation Theory 14 MCSS. 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Matematică 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Cybernetics and Systems Analysis ...and 21 more Serials all top 5 Cited in 49 Fields 284 Operator theory (47-XX) 169 Systems theory; control (93-XX) 127 Functions of a complex variable (30-XX) 66 Functional analysis (46-XX) 55 Approximations and expansions (41-XX) 49 Linear and multilinear algebra; matrix theory (15-XX) 48 Ordinary differential equations (34-XX) 44 Numerical analysis (65-XX) 36 Probability theory and stochastic processes (60-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 20 Partial differential equations (35-XX) 18 Statistics (62-XX) 14 Quantum theory (81-XX) 14 Information and communication theory, circuits (94-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Differential geometry (53-XX) 8 Integral equations (45-XX) 6 Integral transforms, operational calculus (44-XX) 4 Group theory and generalizations (20-XX) 4 Fluid mechanics (76-XX) 4 Operations research, mathematical programming (90-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year