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Deundyak, Vladimir Mikhailovich

Statistics Math-Net.Ru
Total publications: 30
Scientific articles: 30
Presentations: 1

Number of views:
This page:3267
Abstract pages:7503
Full texts:1827
References:720
Associate professor
Candidate of physico-mathematical sciences (1976)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 1.01.1950
E-mail:
Keywords: banach algebras, Fredholmness, index, convolution, model of information defense.

Subject:

Operator banach algebras, solvebilities of operators equations, mathematical methods of information defense.

   
Main publications:
  1. O. G. Avsyankin, V. M. Deundyak, “On the algebra of multidimensional integral operators with homogeneous SO(n)-invariant kernels and radially weakly oscillating coefficients”, Mathematical Notes, 82:2 (2007), 141–152  crossref  mathscinet

http://www.mathnet.ru/eng/person22884
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/227885

Publications in Math-Net.Ru
2018
1. V. M. Deundyak, Yu. V. Kosolapov, “On the Berger–Loidreau cryptosystem on the tensor product of codes”, J. Comp. Eng. Math., 5:2 (2018),  16–33  mathnet  mathscinet  elib
2. K. V. Vedenev, V. M. Deundyak, “Codes in dihedral group algebra”, Model. Anal. Inform. Sist., 25:2 (2018),  232–245  mathnet  elib
3. V. M. Deundyak, D. A. Leonov, “Fourier method for solving two-sided convolution equations on finite noncommutative groups”, Zh. Vychisl. Mat. Mat. Fiz., 58:10 (2018),  1616–1626  mathnet  elib; Comput. Math. Math. Phys., 58:10 (2018), 1562–1572  isi  scopus
2017
4. V. M. Deundyak, Yu. V. Kosolapov, E. A. Lelyuk, “Decoding the tensor product of $ \mathrm{MLD} $ codes and applications for code cryptosystems”, Model. Anal. Inform. Sist., 24:2 (2017),  239–252  mathnet  elib
2016
5. V. M. Deundyak, Yu. V. Kosolapov, “Cryptosystem based on induced group codes”, Model. Anal. Inform. Sist., 23:2 (2016),  137–152  mathnet  mathscinet  elib
6. V. M. Deundyak, N. S. Mogilevskaya, “On correctness conditions of a soft-decisions decoder for ternary Reed–Muller codes of second order”, Vladikavkaz. Mat. Zh., 18:4 (2016),  23–33  mathnet
2015
7. V. M. Deundyak, Yu. V. Kosolapov, “Algorithms for majority decoding of group codes”, Model. Anal. Inform. Sist., 22:4 (2015),  464–482  mathnet  mathscinet  elib
8. V. M. Deundyak, S. A. Yevpak, V. V. Mkrtichyan, “Analysis of properties of $q$-ary Reed–Muller error-correcting codes viewed as codes for copyright protection”, Probl. Peredachi Inf., 51:4 (2015),  99–111  mathnet  elib; Problems Inform. Transmission, 51:4 (2015), 398–408  isi  scopus
2012
9. V. M. Deundyak, E. I. Miroshnikova, “The boundedness and the Fredholm property of integral operators with anisotropically homogeneous kernels of compact type and variable coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, 7,  3–17  mathnet  mathscinet; Russian Math. (Iz. VUZ), 56:7 (2012), 1–14  scopus
10. V. M. Deundyak, J. V. Kosolapov, “On the Firmness Code Noising to the Statistical Analysis of the Observable Data of Repeated Repetition”, Model. Anal. Inform. Sist., 19:4 (2012),  110–127  mathnet  elib
11. V. M. Deundyak, “Topological methods in solvability theory of multidimensional pair integral operators with homogeneous kernels of compact type”, Tr. Mat. Inst. Steklova, 278 (2012),  59–67  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 278 (2012), 51–59  isi  elib  scopus
2011
12. V. M. Deundyak, V. V. Mkrtichan, “Research of applying bounds of the information protection scheme based on PS-codes”, Diskretn. Anal. Issled. Oper., 18:3 (2011),  21–38  mathnet  mathscinet  zmath
2010
13. V. M. Deundyak, “Multidimensional Integral Operators with Homogeneous Kernels of Compact Type and Multiplicatively Weakly Oscillating Coefficients”, Mat. Zametki, 87:5 (2010),  704–720  mathnet  mathscinet; Math. Notes, 87:5 (2010), 672–686  isi  scopus
2007
14. V. M. Deundyak, G. G. Smolkin, “Discrete convolution operators with discontinuous symbols”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, 8,  74–76  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 51:8 (2007), 71–73
15. O. G. Avsyankin, V. M. Deundyak, “On the Algebra of Multidimensional Integral Operators with Homogeneous $SO(n)$-Invariant Kernels and Weakly Radially Oscillating Coefficients”, Mat. Zametki, 82:2 (2007),  163–176  mathnet  mathscinet  elib; Math. Notes, 82:2 (2007), 141–152  isi  scopus
2005
16. O. G. Avsyankin, V. M. Deundyak, “On the index of multidimensional integral operators with bihomogeneous kernels and variable coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, 3,  3–12  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 2005, no. 3, 1–10
2004
17. V. M. Deundyak, “Application of Nikol'skii ideals to the investigation of the solvability of bisingular integral operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, 9,  85–87  mathnet  mathscinet  elib; Russian Math. (Iz. VUZ), 48:9 (2004), 80–82
2002
18. G. Yu. Vinogradova, V. M. Deundyak, “On the index and homotopic classification of families of singular operators with a dihedral shift group and $PC$-coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, 11,  71–74  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 46:11 (2002), 66–69
2000
19. G. Yu. Vinogradova, K. A. Georgiev, V. M. Deundyak, “On the structure of algebras of singular integral operators with shift in weighted spaces, and the calculation of the index of families”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, 5,  68–71  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 44:5 (2000), 66–69
1999
20. K. A. Georgiev, V. M. Deundyak, “Nikol'skii ideals and their application to the study of algebras of singular integral operators”, Algebra i Analiz, 11:2 (1999),  88–108  mathnet  mathscinet  zmath; St. Petersburg Math. J., 11:2 (2000), 269–284
1996
21. V. M. Deundyak, “Homotopic classification and calculation of the index of families of multidimensional bisingular integral operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, 5,  34–46  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 40:5 (1996), 32–44
1994
22. K. A. Georgiev, V. M. Deundyak, “A Criterion for the Weighted Cauchy Singular Operator to Belong to the Algebra of Singular Integral Operators with Coefficients in a Sarason Algebra”, Funktsional. Anal. i Prilozhen., 28:4 (1994),  80–82  mathnet  mathscinet  zmath; Funct. Anal. Appl., 28:4 (1994), 287–288  isi
1993
23. V. M. Deundyak, I. B. Simonenko, V. A. Stukopin, “Ideals of a Banach Algebra of Singular Integral Operators with Piecewise Continuous Coefficients in the Space $L_p$”, Funktsional. Anal. i Prilozhen., 27:4 (1993),  69–71  mathnet  mathscinet  zmath; Funct. Anal. Appl., 27:4 (1993), 277–279  isi
24. K. A. Georgiev, V. M. Deundyak, “Structure of algebras of singular integral operators in weighted $L_p$-spaces on the circle”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, 2,  84–87  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 37:2 (1993), 81–84
1988
25. V. M. Deundyak, I. B. Simonenko, Chin' Ngok Min', “Symbols and a homotopy classification of families of one-dimensional singular operators with piecewise-continuous coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, 12,  17–27  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 32:12 (1988), 23–39
1985
26. V. M. Deundyak, B. J. Steinberg, “Index of convolution operators with slowly varying coefficients on Abelian groups”, Funktsional. Anal. i Prilozhen., 19:4 (1985),  84–85  mathnet  mathscinet  zmath; Funct. Anal. Appl., 19:4 (1985), 321–323  isi
1980
27. V. M. Deundyak, “Homotopy properties of the set of noetherian elements of the $C^*$-algebra of multidimensional generalized Toeplitz operators”, Funktsional. Anal. i Prilozhen., 14:3 (1980),  79–80  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:3 (1980), 230–231  isi
28. V. M. Deundyak, “Computation of the homotopy groups of the set of invertible elements of certain $C^*$-algebras of operators, and applications”, Uspekhi Mat. Nauk, 35:3(213) (1980),  174–178  mathnet  mathscinet  zmath; Russian Math. Surveys, 35:3 (1980), 217–222  isi
1979
29. V. M. Deundyak, “Homotopic classification of noetherian systems of multidimensional bisingular integral operators”, Mat. Zametki, 25:6 (1979),  857–869  mathnet  mathscinet  zmath; Math. Notes, 25:6 (1979), 443–449  isi
1978
30. A. V. Glebov, V. M. Deundyak, “Homotopic classification of noetherian systems of singular and bisingular integral operators with discontinuous coefficients”, Funktsional. Anal. i Prilozhen., 12:3 (1978),  76–77  mathnet  mathscinet  zmath; Funct. Anal. Appl., 12:3 (1978), 222–224

Presentations in Math-Net.Ru
1. Two-dimensional homogeneous integral operators of the singular type in layers and Douglas-Sarason algebras
V. M. Deundyak
International Conference on Differential Equations and Dynamical Systems
July 4, 2014 16:10

Organisations
 
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