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Arov, Damir Zyamovich

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 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
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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

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)

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 0248.47019
Adamjan, V. M.; Arov, D. Z.; Krein, M. G.
1972
Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems. Zbl 0174.45203
Adamyan, V. M.; Arov, D. Z.; Krejn, M. G.
1968
$$J$$-contractive matrix valued functions and related topics. Zbl 1159.30001
Arov, Damir Z.; Dym, Harry
2008
Infinite Hankel block matrices and related extension problems. Zbl 0386.15019
Adamyan, V. M.; Arov, D. Z.; Krejn, M. G.
1978
Analytische Eigenschaften von Schmidtschen Paaren des Hankelschen Operators und das verallgemeinerte Problem von Schur-Takagi. Zbl 0243.47023
Adamjan, V. M.; Arov, D. Z.; Krein, M. G.
1971
Problem of search of the minimum of entropy in indeterminate extension problems. Zbl 0484.46060
Arov, D. Z.; Krejn, M. G.
1981
Passive linear stationary dynamical scattering systems with continuous time. Zbl 0838.47004
Arov, D. Z.; Nudelman, M. A.
1996
The extreme terms of a sample and their role in the sum of independent variables. Zbl 0098.11202
Arov, D. Z.; Bobrov, A. A.
1962
Passive linear stationary dynamical systems. Zbl 0414.93014
Arov, D. Z.
1979
On unitary couplings of semiunitary operators. Zbl 0258.47012
Adamjan, V. M.; Arov, D. Z.
1966
On the computation of entropy functionals and their minima in indeterminate extension problems. Zbl 0556.47013
Arov, D. Z.; Kreĭn, M. G.
1983
Infinite Hankel matrices and generalized Caratheodory-Fejer and I. Schur problems. Zbl 0179.46701
Adamyan, V. M.; Arov, D. Z.; Krejn, M. G.
1968
Scattering matrices in the theory of unitary extension of isometric operators. Zbl 0777.47007
Arov, D. Z.; Grossman, L. Z.
1992
Realisation von Matrizenfunktionen nach Darlington. Zbl 0316.30036
Arov, D. Z.
1973
Bitangential direct and inverse problems for systems of integral and differential equations. Zbl 1264.34004
Arov, Damir Z.; Dym, Harry
2012
$$J$$-inner matrix functions, interpolation and inverse problems for canonical systems. I: Foundations. Zbl 0902.30026
Arov, Damir Z.; Dym, Harry
1997
Scattering matrices in the teory of dilations of isometric operators. Zbl 0543.47010
Arov, D. Z.; Grossman, L. Z.
1983
Darlington realization of matrix-valued functions. Zbl 0316.30037
Arov, D. Z.
1975
Stable dissipative linear stationary dynamical scattering systems. Zbl 0461.47005
Arov, D. Z.
1979
$$J$$-inner matrix functions, interpolation and inverse problems for canonical systems. III: More on the inverse monodromy problem. Zbl 0998.30037
Arov, Damir Z.; Dym, Harry
2000
A method for solving initial value problems for linear differential equations in Hilbert space based on the Cayley transform. Zbl 0798.34064
Arov, Damir Z.; Gavrilyuk, Ivan P.
1993
On three Klein extension problems and some generalizations. Zbl 0909.30030
Arov, Damir Z.; Dym, Harry
1998
Regular J-inner matrix-functions and related continuation problems. Zbl 0699.15009
Arov, D. Z.
1990
Passive linear stationary dynamic systems. Zbl 0437.93019
Arov, D. Z.
1979
Two canonical passive state/signal shift realizations of passive discrete time behaviors. Zbl 1190.47014
Arov, Damir Z.; Staffans, Olof J.
2009
State/signal linear time-invariant systems theory. III: Transmission and impedance representations of discrete time systems. Zbl 1190.47092
Arov, Damir Z.; Staffans, Olof J.
2007
State/signal linear time-invariant systems theory. IV: Affine and generalized transfer functions of discrete time systems. Zbl 1149.47059
Arov, Damir Z.; Staffans, Olof J.
2007
State-signal linear time-invariant systems theory. I: Discrete time systems. Zbl 1114.47014
Arov, Damir Z.; Staffans, Olof J.
2006
$$J$$-inner matrix functions, interpolation and inverse problems for canonical systems. II: The inverse monodromy problem. Zbl 0951.30029
Arov, Damir Z.; Dym, Harry
2000
Minimal and optimal linear discrete time-invariant dissipative scattering systems. Zbl 0898.47005
Arov, D. Z.; Kaashoek, M. A.; Pik, D. R.
1997
State/signal linear time-invariant systems theory: Passive discrete time systems. Zbl 1113.93072
Arov, Damir Z.; Staffans, Olof J.
2007
$$J$$-inner matrix functions, interpolation and inverse problems for canonical systems. IV: Direct and inverse bitangential input scattering problems. Zbl 1040.34012
Arov, Damir Z.; Dym, Harry
2002
Gamma-generating matrices, $$J$$-inner matrix functions and related extrapolation problems. IV. Zbl 0844.47011
Arov, D. Z.
1995
Completion problems for $$j_{pq}$$-inner functions. I. Zbl 0781.70008
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1993
On unitary couplings with losses (scattering theory with losses). Zbl 0307.47010
Arov, D. Z.
1974
Darlington’s method for dissipative systems. Zbl 0246.47035
Arov, D. Z.
1971
The Kalman-Yakubovich-Popov inequality for discrete time systems of infinite dimension. Zbl 1117.47005
Arov, D. Z.; Kaashoek, M. A.; Pik, D. R.
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 1009.34007
Arov, Damir Z.; Dym, Harry
2002
Matricial Nehari problems, $$J$$-inner matrix functions and the Muckenhoupt condition. Zbl 0980.47014
Arov, Damir Z.; Dym, Harry
2001
Passive linear systems and scattering theory. Zbl 0921.93005
Arov, D. Z.
1999
Gamma-generating matrices, j-internal matrix-functions and extrapolation problems connected with them. I. Zbl 0701.41006
Arov, D. Z.
1989
A class of scattering operators and of characteristic operator-functions of contractions. Zbl 0125.35001
Adamyan, V. M.; Arov, D. Z.
1965
A Kreĭn space coordinate free version of the de Branges complementary space. Zbl 1180.46018
Arov, Damir Z.; Staffans, Olof J.
2009
The infinite-dimensional continuous time Kalman–Yakubovich–Popov inequality. Zbl 1111.47013
Arov, Damir Z.; Staffans, Olof J.
2006
Conditions for the similarity of all minimal passive realizations of a given transfer function (scattering and resistance matrices). Zbl 1085.47016
Arov, D. Z.; Nudel’man, M. A.
2002
Representation and approximation of solutions of initial value problems for differential equations in Hilbert space based on the Cayley transform. Zbl 0828.34045
Arov, D. Z.; Gavrilyuk, I. P.; Makarov, V. L.
1995
Completion problems for $$j_{pq}$$-inner functions. II. Zbl 0782.30028
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1993
On some completion problems for various subclasses of $${\mathcal J}_{pq}$$- inner functions. Zbl 0781.30029
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1992
Gamma-generating matrices, j-inner matrix-functions, and related extrapolation problems. III. Zbl 0784.47028
Arov, D. Z.
1990
On functions of the class $$\Pi$$. Zbl 0559.47009
Arov, D. Z.
1984
Scattering theory with dissipation of energy. With Addenda (added in translation). Zbl 0315.47005
Arov, D. Z.
1974
Canonical state/signal shift realizations of passive continuous time behaviors. Zbl 1226.93036
Arov, Damir Z.; Kurula, Mikael; Staffans, Olof J.
2011
Canonical conservative state/signal shift realizations of passive discrete time behaviors. Zbl 1216.47015
Arov, Damir Z.; Staffans, Olof J.
2010
Criteria for the strong regularity of $$J$$-inner functions and $$\gamma$$-generating matrices. Zbl 1044.47012
Arov, Damir Z.; Dym, Harry
2003
Criterion of unitary similarity of minimal passive scattering systems with a given transfer function. Zbl 0974.47007
Arov, D. Z.; Nudel’man, M. A.
2000
On block completion problems for $$j_{qq}-J_ q$$-inner functions. I: The case of a given block column. Zbl 0807.30027
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1994
Gamma-generating matrices, j-inner matrix function and related extrapolation problems. I. Zbl 0718.41004
Arov, D. Z.
1990
Conditions of semiboundedness of quadratic functionals on Hardy spaces. Zbl 0493.30029
Arov, D. Z.; Yakubovich, V. A.
1982
Boundary values of a convergent sequence of J-contractive matrix- functions. Zbl 0346.15004
Arov, D. Z.; Simakova, L. A.
1976
On the topological similarity of automorphisms and translations of compact commutative groups. Zbl 0128.02904
Arov, D. Z.
1963
Multivariate prediction, de Branges spaces, and related extension and inverse problems. Zbl 1440.60004
Arov, Damir Z.; Dym, Harry
2018
Boundary control state/signal systems and boundary triplets. Zbl 1294.47017
Arov, Damir Z.; Kurula, Mikael; Staffans, Olof J.
2012
The bitangential inverse spectral problem for canonical systems. Zbl 1073.34012
Arov, Damir Z.; Dym, Harry
2004
The bitangential inverse input impedance problem for canonical systems. I: Weyl-Titchmarsh classification, existence and uniqueness. Zbl 1042.34025
Arov, Damir Z.; Dym, Harry
2003
Stable dissipative linear stationary dynamical scattering systems. Zbl 1049.47005
Arov, D. Z.
2002
On monotone families of $$J$$-contractive matrix-valued functions. Zbl 0907.41017
Arov, D. Z.
1997
On block completion problems for various subclasses of $$j_{pq}$$-inner functions. Zbl 1107.30306
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1993
The generalized bitangent Carathéodory-Nevanlinna-Pick problem, and $$(j,J_ 0)$$-inner matrix-valued functions. Zbl 0797.30030
Arov, D. Z.
1993
Regular and singular J-inner matrix-functions and the corresponding interpolation problems. Zbl 0661.30029
Arov, D. Z.
1988
Optimal and stable passive systems. Zbl 0479.93020
Arov, D. Z.
1979
A general solution of a problem in linear prediction of stationary processes. Zbl 0165.20604
Adamyan, V. M.; Arov, D. Z.
1968
Bi-inner dilations and bi-stable passive scattering realizations of Schur class operator-valued functions. Zbl 1191.47013
Arov, Damir Z.; Staffans, Olof J.
2008
Direct and inverse asymptotic scattering problems for Dirac–Krein systems. Zbl 1156.47010
Arov, D. Z.; Dym, H.
2007
Passive impedance systems with losses of scattering channels. Zbl 1144.47330
Arov, D. Z.; Rozhenko, N. A.
2007
Linear passive stationary scattering systems with Pontryagin state spaces. Zbl 1118.47061
Arov, D. Z.; Rovnyak, J.; Saprikin, S. M.
2006
Direct and inverse problems for differential systems connected with Dirac systems and related factorization problems. Zbl 1119.47047
Arov, Damir Z.; Dym, Harry
2005
Strongly regular $$J$$-inner matrix-valued functions and inverse problems for canonical systems. Zbl 1094.34008
Arov, Damir Z.; Dym, Harry
2005
The bitangential inverse input impedance problem for canonical systems. II. Formulas and examples. Zbl 1067.34007
Arov, Damir Z.; Dym, Harry
2005
Maximal solutions for embedding problem for a generalized Schur function and optimal dissipative scattering systems with Pontryagin state spaces. Zbl 0992.47004
Arov, D. Z.; Saprikin, S. M.
2001
Optimal time-variant systems and factorization of operators. I: Minimal and optimal systems. Zbl 0927.47006
Arov, D. Z.; Kaashoek, M. A.; Pik, D. R.
1998
A function-theoretic approach to a parametrization of the set of solutions of a completely indeterminate matricial Nehari problem. Zbl 0897.30016
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1998
Computation of the resolvent matrix for the generalized bitangential Schur- and Carathéodory-Nevanlinna-Pick interpolation problems in the strictly completely indeterminate case. Zbl 0854.47009
Arov, D. Z.
1995
The influence of V. P. Potapov and M. G. Kreĭn on my scientific work. Zbl 0820.47014
Arov, D. Z.
1994
On block completion problems for $$j_{qq}-J_ q$$-inner functions. II: The case of a given $$q\times q$$ block. Zbl 0831.47012
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1994
Über die Randwerte einer konvergenten Folge von J-kontrahierenden Matrixfunktionen. Zbl 0335.15027
Arov, D. Z.; Simakova, L. A.
1976
A general solution of a problem in linear prediction of stationary processes. Zbl 0179.23802
Adamyan, V. M.; Arov, D. Z.
1968
Functional models of operators and their multivalued extensions in Hilbert space. Zbl 07243099
Arov, Damir Z.; Dym, Harry
2020
Applications of de Branges spaces of vector-valued functions. Zbl 1348.46032
Arov, Damir Z.; Dym, Harry
2015
De Branges spaces of vector-valued functions. Zbl 1348.46031
Arov, Damir Z.; Dym, Harry
2015
Passive state/signal systems and conservative boundary relations. Zbl 1306.47015
Arov, Damir Z.; Kurula, Mikael; Staffans, Olof J.
2012
On the theory of passive resistance systems with losses of scattering channels. Zbl 1196.47011
Arov, D. Z.; Rozhenko, N. A.
2009
Bitangential direct and inverse problems for systems of differential equations. Zbl 1171.34003
Arov, Damir Z.; Dym, Harry
2008
Strongly regular $$J$$-inner matrix functions and related problems. Zbl 1091.47013
Arov, Damir Z.; Dym, Harry
2004
Some remarks on the inverse monodromy problem for $$2\times 2$$ canonical differential systems. Zbl 0980.47015
Arov, Damir Z.; Dym, Harry
2001
Optimal time-variant systems and factorization of operators. II: Factorization. Zbl 0992.47008
Arov, D. Z.; Kaashoek, M. A.; Pik, D. R.
2000
On strictly positive compressions of block Toeplitz operators. Zbl 0906.47018
Arov, D. Z.
1997
On some aspects of V. E. Katsnelson’s investigations on interrelations between left and right Blaschke-Potapov products. Zbl 0869.47009
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1995
On the regular $$j$$-inner matrix-functions and the regular $$\gamma$$- generating matrices. Zbl 0809.15015
Arov, D. Z.
1994
Some problems in the theory of linear stationary passive systems. Zbl 0629.93018
Arov, D. Z.
1987
Functions of class $$\Pi$$. Zbl 0572.47005
Arov, D. Z.
1985
Functional models of operators and their multivalued extensions in Hilbert space. Zbl 07243099
Arov, Damir Z.; Dym, Harry
2020
Multivariate prediction, de Branges spaces, and related extension and inverse problems. Zbl 1440.60004
Arov, Damir Z.; Dym, Harry
2018
Applications of de Branges spaces of vector-valued functions. Zbl 1348.46032
Arov, Damir Z.; Dym, Harry
2015
De Branges spaces of vector-valued functions. Zbl 1348.46031
Arov, Damir Z.; Dym, Harry
2015
Bitangential direct and inverse problems for systems of integral and differential equations. Zbl 1264.34004
Arov, Damir Z.; Dym, Harry
2012
Boundary control state/signal systems and boundary triplets. Zbl 1294.47017
Arov, Damir Z.; Kurula, Mikael; Staffans, Olof J.
2012
Passive state/signal systems and conservative boundary relations. Zbl 1306.47015
Arov, Damir Z.; Kurula, Mikael; Staffans, Olof J.
2012
Canonical state/signal shift realizations of passive continuous time behaviors. Zbl 1226.93036
Arov, Damir Z.; Kurula, Mikael; Staffans, Olof J.
2011
Canonical conservative state/signal shift realizations of passive discrete time behaviors. Zbl 1216.47015
Arov, Damir Z.; Staffans, Olof J.
2010
Two canonical passive state/signal shift realizations of passive discrete time behaviors. Zbl 1190.47014
Arov, Damir Z.; Staffans, Olof J.
2009
A Kreĭn space coordinate free version of the de Branges complementary space. Zbl 1180.46018
Arov, Damir Z.; Staffans, Olof J.
2009
On the theory of passive resistance systems with losses of scattering channels. Zbl 1196.47011
Arov, D. Z.; Rozhenko, N. A.
2009
$$J$$-contractive matrix valued functions and related topics. Zbl 1159.30001
Arov, Damir Z.; Dym, Harry
2008
Bi-inner dilations and bi-stable passive scattering realizations of Schur class operator-valued functions. Zbl 1191.47013
Arov, Damir Z.; Staffans, Olof J.
2008
Bitangential direct and inverse problems for systems of differential equations. Zbl 1171.34003
Arov, Damir Z.; Dym, Harry
2008
State/signal linear time-invariant systems theory. III: Transmission and impedance representations of discrete time systems. Zbl 1190.47092
Arov, Damir Z.; Staffans, Olof J.
2007
State/signal linear time-invariant systems theory. IV: Affine and generalized transfer functions of discrete time systems. Zbl 1149.47059
Arov, Damir Z.; Staffans, Olof J.
2007
State/signal linear time-invariant systems theory: Passive discrete time systems. Zbl 1113.93072
Arov, Damir Z.; Staffans, Olof J.
2007
Direct and inverse asymptotic scattering problems for Dirac–Krein systems. Zbl 1156.47010
Arov, D. Z.; Dym, H.
2007
Passive impedance systems with losses of scattering channels. Zbl 1144.47330
Arov, D. Z.; Rozhenko, N. A.
2007
State-signal linear time-invariant systems theory. I: Discrete time systems. Zbl 1114.47014
Arov, Damir Z.; Staffans, Olof J.
2006
The Kalman-Yakubovich-Popov inequality for discrete time systems of infinite dimension. Zbl 1117.47005
Arov, D. Z.; Kaashoek, M. A.; Pik, D. R.
2006
The infinite-dimensional continuous time Kalman–Yakubovich–Popov inequality. Zbl 1111.47013
Arov, Damir Z.; Staffans, Olof J.
2006
Linear passive stationary scattering systems with Pontryagin state spaces. Zbl 1118.47061
Arov, D. Z.; Rovnyak, J.; Saprikin, S. M.
2006
Direct and inverse problems for differential systems connected with Dirac systems and related factorization problems. Zbl 1119.47047
Arov, Damir Z.; Dym, Harry
2005
Strongly regular $$J$$-inner matrix-valued functions and inverse problems for canonical systems. Zbl 1094.34008
Arov, Damir Z.; Dym, Harry
2005
The bitangential inverse input impedance problem for canonical systems. II. Formulas and examples. Zbl 1067.34007
Arov, Damir Z.; Dym, Harry
2005
The bitangential inverse spectral problem for canonical systems. Zbl 1073.34012
Arov, Damir Z.; Dym, Harry
2004
Strongly regular $$J$$-inner matrix functions and related problems. Zbl 1091.47013
Arov, Damir Z.; Dym, Harry
2004
Criteria for the strong regularity of $$J$$-inner functions and $$\gamma$$-generating matrices. Zbl 1044.47012
Arov, Damir Z.; Dym, Harry
2003
The bitangential inverse input impedance problem for canonical systems. I: Weyl-Titchmarsh classification, existence and uniqueness. Zbl 1042.34025
Arov, Damir Z.; Dym, Harry
2003
$$J$$-inner matrix functions, interpolation and inverse problems for canonical systems. IV: Direct and inverse bitangential input scattering problems. Zbl 1040.34012
Arov, Damir Z.; Dym, Harry
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 1009.34007
Arov, Damir Z.; Dym, Harry
2002
Conditions for the similarity of all minimal passive realizations of a given transfer function (scattering and resistance matrices). Zbl 1085.47016
Arov, D. Z.; Nudel’man, M. A.
2002
Stable dissipative linear stationary dynamical scattering systems. Zbl 1049.47005
Arov, D. Z.
2002
Matricial Nehari problems, $$J$$-inner matrix functions and the Muckenhoupt condition. Zbl 0980.47014
Arov, Damir Z.; Dym, Harry
2001
Maximal solutions for embedding problem for a generalized Schur function and optimal dissipative scattering systems with Pontryagin state spaces. Zbl 0992.47004
Arov, D. Z.; Saprikin, S. M.
2001
Some remarks on the inverse monodromy problem for $$2\times 2$$ canonical differential systems. Zbl 0980.47015
Arov, Damir Z.; Dym, Harry
2001
$$J$$-inner matrix functions, interpolation and inverse problems for canonical systems. III: More on the inverse monodromy problem. Zbl 0998.30037
Arov, Damir Z.; Dym, Harry
2000
$$J$$-inner matrix functions, interpolation and inverse problems for canonical systems. II: The inverse monodromy problem. Zbl 0951.30029
Arov, Damir Z.; Dym, Harry
2000
Criterion of unitary similarity of minimal passive scattering systems with a given transfer function. Zbl 0974.47007
Arov, D. Z.; Nudel’man, M. A.
2000
Optimal time-variant systems and factorization of operators. II: Factorization. Zbl 0992.47008
Arov, D. Z.; Kaashoek, M. A.; Pik, D. R.
2000
Passive linear systems and scattering theory. Zbl 0921.93005
Arov, D. Z.
1999
On three Klein extension problems and some generalizations. Zbl 0909.30030
Arov, Damir Z.; Dym, Harry
1998
Optimal time-variant systems and factorization of operators. I: Minimal and optimal systems. Zbl 0927.47006
Arov, D. Z.; Kaashoek, M. A.; Pik, D. R.
1998
A function-theoretic approach to a parametrization of the set of solutions of a completely indeterminate matricial Nehari problem. Zbl 0897.30016
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1998
$$J$$-inner matrix functions, interpolation and inverse problems for canonical systems. I: Foundations. Zbl 0902.30026
Arov, Damir Z.; Dym, Harry
1997
Minimal and optimal linear discrete time-invariant dissipative scattering systems. Zbl 0898.47005
Arov, D. Z.; Kaashoek, M. A.; Pik, D. R.
1997
On monotone families of $$J$$-contractive matrix-valued functions. Zbl 0907.41017
Arov, D. Z.
1997
On strictly positive compressions of block Toeplitz operators. Zbl 0906.47018
Arov, D. Z.
1997
Passive linear stationary dynamical scattering systems with continuous time. Zbl 0838.47004
Arov, D. Z.; Nudelman, M. A.
1996
Gamma-generating matrices, $$J$$-inner matrix functions and related extrapolation problems. IV. Zbl 0844.47011
Arov, D. Z.
1995
Representation and approximation of solutions of initial value problems for differential equations in Hilbert space based on the Cayley transform. Zbl 0828.34045
Arov, D. Z.; Gavrilyuk, I. P.; Makarov, V. L.
1995
Computation of the resolvent matrix for the generalized bitangential Schur- and Carathéodory-Nevanlinna-Pick interpolation problems in the strictly completely indeterminate case. Zbl 0854.47009
Arov, D. Z.
1995
On some aspects of V. E. Katsnelson’s investigations on interrelations between left and right Blaschke-Potapov products. Zbl 0869.47009
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1995
On block completion problems for $$j_{qq}-J_ q$$-inner functions. I: The case of a given block column. Zbl 0807.30027
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1994
The influence of V. P. Potapov and M. G. Kreĭn on my scientific work. Zbl 0820.47014
Arov, D. Z.
1994
On block completion problems for $$j_{qq}-J_ q$$-inner functions. II: The case of a given $$q\times q$$ block. Zbl 0831.47012
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1994
On the regular $$j$$-inner matrix-functions and the regular $$\gamma$$- generating matrices. Zbl 0809.15015
Arov, D. Z.
1994
A method for solving initial value problems for linear differential equations in Hilbert space based on the Cayley transform. Zbl 0798.34064
Arov, Damir Z.; Gavrilyuk, Ivan P.
1993
Completion problems for $$j_{pq}$$-inner functions. I. Zbl 0781.70008
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1993
Completion problems for $$j_{pq}$$-inner functions. II. Zbl 0782.30028
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1993
On block completion problems for various subclasses of $$j_{pq}$$-inner functions. Zbl 1107.30306
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1993
The generalized bitangent Carathéodory-Nevanlinna-Pick problem, and $$(j,J_ 0)$$-inner matrix-valued functions. Zbl 0797.30030
Arov, D. Z.
1993
Scattering matrices in the theory of unitary extension of isometric operators. Zbl 0777.47007
Arov, D. Z.; Grossman, L. Z.
1992
On some completion problems for various subclasses of $${\mathcal J}_{pq}$$- inner functions. Zbl 0781.30029
Arov, D. Z.; Fritzsche, B.; Kirstein, B.
1992
Regular J-inner matrix-functions and related continuation problems. Zbl 0699.15009
Arov, D. Z.
1990
Gamma-generating matrices, j-inner matrix-functions, and related extrapolation problems. III. Zbl 0784.47028
Arov, D. Z.
1990
Gamma-generating matrices, j-inner matrix function and related extrapolation problems. I. Zbl 0718.41004
Arov, D. Z.
1990
Gamma-generating matrices, j-internal matrix-functions and extrapolation problems connected with them. I. Zbl 0701.41006
Arov, D. Z.
1989
Regular and singular J-inner matrix-functions and the corresponding interpolation problems. Zbl 0661.30029
Arov, D. Z.
1988
Some problems in the theory of linear stationary passive systems. Zbl 0629.93018
Arov, D. Z.
1987
Functions of class $$\Pi$$. Zbl 0572.47005
Arov, D. Z.
1985
On functions of the class $$\Pi$$. Zbl 0559.47009
Arov, D. Z.
1984
On the computation of entropy functionals and their minima in indeterminate extension problems. Zbl 0556.47013
Arov, D. Z.; Kreĭn, M. G.
1983
Scattering matrices in the teory of dilations of isometric operators. Zbl 0543.47010
Arov, D. Z.; Grossman, L. Z.
1983
Conditions of semiboundedness of quadratic functionals on Hardy spaces. Zbl 0493.30029
Arov, D. Z.; Yakubovich, V. A.
1982
Problem of search of the minimum of entropy in indeterminate extension problems. Zbl 0484.46060
Arov, D. Z.; Krejn, M. G.
1981
Passive linear stationary dynamical systems. Zbl 0414.93014
Arov, D. Z.
1979
Stable dissipative linear stationary dynamical scattering systems. Zbl 0461.47005
Arov, D. Z.
1979
Passive linear stationary dynamic systems. Zbl 0437.93019
Arov, D. Z.
1979
Optimal and stable passive systems. Zbl 0479.93020
Arov, D. Z.
1979
Infinite Hankel block matrices and related extension problems. Zbl 0386.15019
Adamyan, V. M.; Arov, D. Z.; Krejn, M. G.
1978
Boundary values of a convergent sequence of J-contractive matrix- functions. Zbl 0346.15004
Arov, D. Z.; Simakova, L. A.
1976
Über die Randwerte einer konvergenten Folge von J-kontrahierenden Matrixfunktionen. Zbl 0335.15027
Arov, D. Z.; Simakova, L. A.
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 0336.30020
Arov, D. Z.
1976
Darlington realization of matrix-valued functions. Zbl 0316.30037
Arov, D. Z.
1975
On unitary couplings with losses (scattering theory with losses). Zbl 0307.47010
Arov, D. Z.
1974
Scattering theory with dissipation of energy. With Addenda (added in translation). Zbl 0315.47005
Arov, D. Z.
1974
Realisation von Matrizenfunktionen nach Darlington. Zbl 0316.30036
Arov, D. Z.
1973
Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur-Takagi problem. Zbl 0248.47019
Adamjan, V. M.; Arov, D. Z.; Krein, M. G.
1972
Analytische Eigenschaften von Schmidtschen Paaren des Hankelschen Operators und das verallgemeinerte Problem von Schur-Takagi. Zbl 0243.47023
Adamjan, V. M.; Arov, D. Z.; Krein, M. G.
1971
Darlington’s method for dissipative systems. Zbl 0246.47035
Arov, D. Z.
1971
Unendliche Hankelsche Blockmatrizen und mit ihnen zusammenhängende Fortsetzungsprobleme. Zbl 0311.15012
Adamyan, V. M.; Arov, D. Z.; Krejn, M. G.
1971
Bounded operators that commute with a contraction of class $$C_{00}$$ of unit rank of nonunitarity. Zbl 0198.48001
Adamyan, V. M.; Arov, D. Z.; Krejn, M. G.
1969
Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems. Zbl 0174.45203
Adamyan, V. M.; Arov, D. Z.; Krejn, M. G.
1968
Infinite Hankel matrices and generalized Caratheodory-Fejer and I. Schur problems. Zbl 0179.46701
Adamyan, V. M.; Arov, D. Z.; Krejn, M. G.
1968
A general solution of a problem in linear prediction of stationary processes. Zbl 0165.20604
Adamyan, V. M.; Arov, D. Z.
1968
A general solution of a problem in linear prediction of stationary processes. Zbl 0179.23802
Adamyan, V. M.; Arov, D. Z.
1968
On unitary couplings of semiunitary operators. Zbl 0258.47012
Adamjan, V. M.; Arov, D. Z.
1966
...and 4 more Documents
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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
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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. Mathematics of Control, Signals, and Systems 12 Functional Analysis and its Applications 12 Journal of Computational and Applied Mathematics 12 Journal of Soviet Mathematics 10 Transactions of the American Mathematical Society 7 Numerical Functional Analysis and Optimization 7 Applied and Computational Harmonic Analysis 6 Journal of Mathematical Physics 6 Ukrainian Mathematical Journal 6 Mathematische Nachrichten 5 Mathematical Notes 5 Proceedings of the American Mathematical Society 5 Siberian Mathematical Journal 5 Zeitschrift für Analysis und ihre Anwendungen 5 Multidimensional Systems and Signal Processing 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Journal of Differential Equations 4 Numerische Mathematik 4 Circuits, Systems, and Signal Processing 4 Stochastic Processes and their Applications 4 Advances in Computational Mathematics 3 Reports on Mathematical Physics 3 Arkiv för Matematik 3 Advances in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Czechoslovak Mathematical Journal 3 Journal of Multivariate Analysis 3 Mathematische Annalen 3 Optimization 3 Probability Theory and Related Fields 3 Constructive Approximation 3 St. Petersburg Mathematical Journal 3 European Journal of Control 3 Analysis and Mathematical Physics 2 Computers & Mathematics with Applications 2 Journal d’Analyse Mathématique 2 Journal of Computational Physics 2 The Annals of Probability 2 Journal of Statistical Planning and Inference 2 SIAM Journal on Algebraic and Discrete Methods 2 Automation and Remote Control 2 Indagationes Mathematicae. New Series 2 International Journal of Robust and Nonlinear Control 2 Numerical Linear Algebra with Applications 2 Bulletin des Sciences Mathématiques 2 Bernoulli 2 Computational Methods and Function Theory 1 Analysis Mathematica 1 Communications in Mathematical Physics 1 International Journal of Systems Science 1 International Journal of Theoretical Physics 1 Linear and Multilinear Algebra 1 Stochastics 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 BIT 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal of Circuit Theory and Applications 1 Journal of Applied Probability 1 Journal of Geometry 1 Mathematical Systems Theory 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Statistics & Probability Letters 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Numerical Methods for Partial Differential Equations 1 Journal of Theoretical Probability 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 Journal of Integral Equations and Applications 1 The Annals of Applied Probability 1 Journal of Global Optimization 1 Applied Mathematical Modelling 1 Communications in Statistics. Theory and Methods 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Stochastics and Stochastics Reports 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Cybernetics and Systems Analysis ...and 21 more Serials
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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)