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Publications in Math-Net.Ru |
Citations |
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2015 |
| 1. |
D. Z. Arov, “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   ; J. Math. Sci. (N. Y.), 215:6 (2016), 677–692  |
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2011 |
| 2. |
D. Z. Arov, N. A. Rozhenko, “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 ; Math. Notes, 90:6 (2011), 801–812  |
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2008 |
| 3. |
D. Z. Arov, N. A. Rozhenko, “To the theory of passive systems of resistance with losses of scattering channels”, Zap. Nauchn. Sem. POMI, 355 (2008), 37–71  ; J. Math. Sci. (N. Y.), 156:5 (2009), 742–760 |
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2007 |
| 4. |
D. Z. Arov, N. A. Rozhenko, “$J_{p,m}$-inner dilations of matrix-valued functions that belong to the Carathódory class and admit pseudocontinuation”, Algebra i Analiz, 19:3 (2007), 76–105  ; St. Petersburg Math. J., 19:3 (2008), 375–395 |
4
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| 5. |
D. Z. Arov, H. Dym, “Direct and Inverse Asymptotic Scattering Problems for Dirac–Krein Systems”, Funktsional. Anal. i Prilozhen., 41:3 (2007), 17–33 ; Funct. Anal. Appl., 41:3 (2007), 181–195 |
3
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2002 |
| 6. |
D. Z. Arov, M. A. Nudelman, “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 ; Sb. Math., 193:6 (2002), 791–810 |
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2001 |
| 7. |
D. Z. Arov, “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 ; St. Petersburg Math. J., 13:4 (2002), 527–547 |
1
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2000 |
| 8. |
D. Z. Arov, “Conditions for the Similarity of All Minimal Passive Scattering Systems with Given Scattering Matrix”, Funktsional. Anal. i Prilozhen., 34:4 (2000), 71–74 ; Funct. Anal. Appl., 34:4 (2000), 293–295 |
3
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1997 |
| 9. |
D. Z. Arov, “On monotone families of $J$-contractive matrix functions”, Algebra i Analiz, 9:6 (1997), 3–37 ; St. Petersburg Math. J., 9:6 (1998), 1025–1051 |
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1993 |
| 10. |
D. Z. Arov, “Generalized bitangent Caratheodory–Nevanlinna–Pick problem, and $(j,J_0)$-inner
matrix-valued functions”, Izv. RAN. Ser. Mat., 57:1 (1993), 3–32 ; Russian Acad. Sci. Izv. Math., 42:1 (1994), 1–26 |
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1990 |
| 11. |
D. Z. Arov, “Carathéodory theorem for matrix-valued functions and the maximal jump of spectral functions in extension problems”, Mat. Zametki, 48:3 (1990), 3–11 ; Math. Notes, 48:3 (1990), 873–879 |
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1988 |
| 12. |
D. Z. Arov, “Regular and singular $J$-inner matrix-functions and the corresponding interpolation problems”, Funktsional. Anal. i Prilozhen., 22:1 (1988), 57–59 ; Funct. Anal. Appl., 22:1 (1988), 46–48 |
6
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1986 |
| 13. |
Yu. I. Abramovich, D. Z. Arov, “On Realizability of Finite Autocorrelation Functions”, Probl. Peredachi Inf., 22:4 (1986), 104–106 |
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1984 |
| 14. |
D. Z. Arov, “On functionsof class $\Pi$”, Zap. Nauchn. Sem. LOMI, 135 (1984), 5–30 |
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1983 |
| 15. |
D. Z. Arov, L. Z. Grossman, “Scattering matrices in the teory of dilations of isometric operators”, Dokl. Akad. Nauk SSSR, 270:1 (1983), 17–20 |
1
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1981 |
| 16. |
D. Z. Arov, M. G. Krein, “Problem of search of the minimum of entropy in indeterminate extension problems”, Funktsional. Anal. i Prilozhen., 15:2 (1981), 61–64 ; Funct. Anal. Appl., 15:2 (1981), 123–126 |
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1979 |
| 17. |
D. Z. Arov, “Optimal and stable passive systems”, Dokl. Akad. Nauk SSSR, 247:2 (1979), 265–268 |
4
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| 18. |
D. Z. Arov, “Boundary values of a convergent sequence of meromorphic matrix-valued functions”, Mat. Zametki, 25:3 (1979), 335–339 ; Math. Notes, 25:3 (1979), 174–177 |
| 19. |
D. Z. Arov, “Passive linear steady-state dynamical systems”, Sibirsk. Mat. Zh., 20:2 (1979), 211–228 ; Siberian Math. J., 20:1 (1979), 149–162 |
23
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1978 |
| 20. |
D. Z. Arov, “Approximating characteristic of functions of class BII”, Funktsional. Anal. i Prilozhen., 12:2 (1978), 70–71 ; Funct. Anal. Appl., 12:2 (1978), 133–134 |
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| 21. |
V. M. Adamyan, D. Z. Arov, M. G. Krein, “7.6. The approximation by functions in $H^\infty+C$”, Zap. Nauchn. Sem. LOMI, 81 (1978), 190–192 ; J. Soviet Math., 26:5 (1984), 2224–2225 |
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1976 |
| 22. |
D. Z. Arov, L. A. Simakova, “Boundary values of a convergent sequence of J-contractive matrix-functions”, Mat. Zametki, 19:4 (1976), 491–500 ; Math. Notes, 19:4 (1976), 301–306 |
1
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1975 |
| 23. |
D. Z. Arov, “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 ; Siberian Math. J., 16:3 (1975), 335–352 |
9
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1974 |
| 24. |
D. Z. Arov, “Scattering theory with dissipation of energy”, Dokl. Akad. Nauk SSSR, 216:4 (1974), 713–716 |
1
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| 25. |
D. Z. Arov, “On unitary couplings with losses (scattering theory with losses)”, Funktsional. Anal. i Prilozhen., 8:4 (1974), 5–22 ; Funct. Anal. Appl., 8:4 (1974), 280–294 |
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1973 |
| 26. |
D. Z. Arov, “Darlington realization of matrix-valued functions”, Izv. Akad. Nauk SSSR Ser. Mat., 37:6 (1973), 1299–1331 ; Math. USSR-Izv., 7:6 (1973), 1295–1326 |
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1971 |
| 27. |
D. Z. Arov, “Darlington’s method for dissipative systems”, Dokl. Akad. Nauk SSSR, 201:3 (1971), 559–562 |
5
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| 28. |
V. M. Adamyan, D. Z. Arov, M. G. Krein, “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 ; Math. USSR-Sb., 15:1 (1971), 31–73 |
434
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1969 |
| 29. |
V. M. Adamyan, D. Z. Arov, M. G. Krein, “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 ; Funct. Anal. Appl., 3:3 (1969), 242–243 |
10
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1968 |
| 30. |
V. M. Adamyan, D. Z. Arov, M. G. Krein, “Infinite Hankel matrices and generalized Caretheodory–Fejer and I. Schur Problems”, Funktsional. Anal. i Prilozhen., 2:4 (1968), 1–17 ; Funct. Anal. Appl., 2:4 (1968), 269–281 |
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| 31. |
V. M. Adamyan, D. Z. Arov, M. G. Krein, “Infinite hankel matrices and generalized Carathéodory–Fejer and Riesz problems”, Funktsional. Anal. i Prilozhen., 2:1 (1968), 1–19 ; Funct. Anal. Appl., 2:1 (1968), 1–18 |
154
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| 32. |
V. M. Adamyan, D. Z. Arov, “A general solution of a problem in linear prediction of stationary processes”, Teor. Veroyatnost. i Primenen., 13:3 (1968), 419–431 ; Theory Probab. Appl., 13:3 (1968), 394–407 |
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1965 |
| 33. |
V. M. Adamyan, D. Z. Arov, “On a class of scattering operators and characteristic operator-functions of contractions”, Dokl. Akad. Nauk SSSR, 165:1 (1965), 9–12 |
| 34. |
V. M. Adamyan, D. Z. Arov, “On a class of scattering operators and characteristic operator-functions of contractions”, Dokl. Akad. Nauk SSSR, 160:1 (1965), 9–12 |
5
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1963 |
| 35. |
D. Z. Arov, “Topological similitude of automorphisms and translations of compact commutative groups”, Uspekhi Mat. Nauk, 18:5(113) (1963), 133–138 |
12
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1960 |
| 36. |
D. Z. Arov, A. A. Bobrov, “The Extreme Terms of a Sample and Their Role in the Sum of Independent Variables”, Teor. Veroyatnost. i Primenen., 5:4 (1960), 415–434 ; Theory Probab. Appl., 5:4 (1960), 377–396 |
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1987 |
| 37. |
D. Z. Arov, Yu. M. Berezanskii, N. N. Bogolyubov, V. I. Gorbachuk, M. L. Gorbachuk, Yu. A. Mitropol'skii, L. D. Faddeev, “Mark Grigor'evich Krein (on his eightieth birthday)”, Uspekhi Mat. Nauk, 42:4(256) (1987), 201–206 ; Russian Math. Surveys, 42:4 (1987), 165–173 |
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