Arov Damir Zyamovich

Publications in Math-Net.Ru

1. To the history of the appearance of the notion of $\epsilon$-entropy of an authomorphism of a Lebesque space and $(\varepsilon,T)$-entropy of a dynamical system with continuous time
   
   Zap. Nauchn. Sem. POMI, 436 (2015),  76–100
2. On the Relation between the Darlington Realizations of Matrix Functions from the Carathéodory Class and Their $J_{p,r}$-Inner SI-Dilations
   
   Mat. Zametki, 90:6 (2011),  821–832
3. To the theory of passive systems of resistance with losses of scattering channels
   
   Zap. Nauchn. Sem. POMI, 355 (2008),  37–71
4. $J_{p,m}$-inner dilations of matrix-valued functions that belong to the Carathódory class and admit pseudocontinuation
   
   Algebra i Analiz, 19:3 (2007),  76–105
5. Direct and Inverse Asymptotic Scattering Problems for Dirac–Krein Systems
   
   Funktsional. Anal. i Prilozhen., 41:3 (2007),  17–33
6. Tests for the similarity of all minimal passive realizations of a fixed transfer function (scattering or resistance matrix)
   
   Mat. Sb., 193:6 (2002),  3–24
7. Scattering matrix and the impedance of a canonical differential system with a dissipative boundary condition in the case where the coefficient is a rational matrix-valued function of the spectral parameter
   
   Algebra i Analiz, 13:4 (2001),  26–53
8. Conditions for the Similarity of All Minimal Passive Scattering Systems with Given Scattering Matrix
   
   Funktsional. Anal. i Prilozhen., 34:4 (2000),  71–74
9. On monotone families of $J$-contractive matrix functions
   
   Algebra i Analiz, 9:6 (1997),  3–37
10. Generalized bitangent Caratheodory–Nevanlinna–Pick problem, and $(j,J_0)$-inner matrix-valued functions
    
    Izv. RAN. Ser. Mat., 57:1 (1993),  3–32
11. Carathéodory theorem for matrix-valued functions and the maximal jump of spectral functions in extension problems
    
    Mat. Zametki, 48:3 (1990),  3–11
12. Regular and singular $J$-inner matrix-functions and the corresponding interpolation problems
    
    Funktsional. Anal. i Prilozhen., 22:1 (1988),  57–59
13. On Realizability of Finite Autocorrelation Functions
    
    Probl. Peredachi Inf., 22:4 (1986),  104–106
14. On functionsof class $\Pi$
    
    Zap. Nauchn. Sem. LOMI, 135 (1984),  5–30
15. Scattering matrices in the teory of dilations of isometric operators
    
    Dokl. Akad. Nauk SSSR, 270:1 (1983),  17–20
16. Problem of search of the minimum of entropy in indeterminate extension problems
    
    Funktsional. Anal. i Prilozhen., 15:2 (1981),  61–64
17. Optimal and stable passive systems
    
    Dokl. Akad. Nauk SSSR, 247:2 (1979),  265–268
18. Boundary values of a convergent sequence of meromorphic matrix-valued functions
    
    Mat. Zametki, 25:3 (1979),  335–339
19. Passive linear steady-state dynamical systems
    
    Sibirsk. Mat. Zh., 20:2 (1979),  211–228
20. Approximating characteristic of functions of class BII
    
    Funktsional. Anal. i Prilozhen., 12:2 (1978),  70–71
21. 7.6. The approximation by functions in $H^\infty+C$
    
    Zap. Nauchn. Sem. LOMI, 81 (1978),  190–192
22. Boundary values of a convergent sequence of J-contractive matrix-functions
    
    Mat. Zametki, 19:4 (1976),  491–500
23. Realization of a canonical system with a dissipative boundary condition at one end of the segment in terms of the coefficient of dynamical compliance
    
    Sibirsk. Mat. Zh., 16:3 (1975),  440–463
24. Scattering theory with dissipation of energy
    
    Dokl. Akad. Nauk SSSR, 216:4 (1974),  713–716
25. On unitary couplings with losses (scattering theory with losses)
    
    Funktsional. Anal. i Prilozhen., 8:4 (1974),  5–22
26. Darlington realization of matrix-valued functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 37:6 (1973),  1299–1331
27. Darlington’s method for dissipative systems
    
    Dokl. Akad. Nauk SSSR, 201:3 (1971),  559–562
28. Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur–Takagi problem
    
    Mat. Sb. (N.S.), 86(128):1(9) (1971),  34–75
29. Bounded operators that commute with a contraction of class $C_{00}$ of unit rank of nonunitarity
    
    Funktsional. Anal. i Prilozhen., 3:3 (1969),  86–87
30. Infinite Hankel matrices and generalized Caretheodory–Fejer and I. Schur Problems
    
    Funktsional. Anal. i Prilozhen., 2:4 (1968),  1–17
31. Infinite hankel matrices and generalized Carathéodory–Fejer and Riesz problems
    
    Funktsional. Anal. i Prilozhen., 2:1 (1968),  1–19
32. A general solution of a problem in linear prediction of stationary processes
    
    Teor. Veroyatnost. i Primenen., 13:3 (1968),  419–431
33. On a class of scattering operators and characteristic operator-functions of contractions
    
    Dokl. Akad. Nauk SSSR, 165:1 (1965),  9–12
34. On a class of scattering operators and characteristic operator-functions of contractions
    
    Dokl. Akad. Nauk SSSR, 160:1 (1965),  9–12
35. Topological similitude of automorphisms and translations of compact commutative groups
    
    Uspekhi Mat. Nauk, 18:5(113) (1963),  133–138
36. The Extreme Terms of a Sample and Their Role in the Sum of Independent Variables
    
    Teor. Veroyatnost. i Primenen., 5:4 (1960),  415–434


37. Mark Grigor'evich Krein (on his eightieth birthday)
    
    Uspekhi Mat. Nauk, 42:4(256) (1987),  201–206