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Deundyak, Vladimir Mikhaĭlovich

Co-Author Distance
Author ID: deundyak.v-m Recent zbMATH articles by "Deundyak, Vladimir Mikhaĭlovich"
Published as: Deundyak, V. M.; Deundyak, Vladimir Mikhaĭlovich; Deundjak, V. M.; Deundyak, Vladimir M.
Further Spellings: Деундяк Владимир Михайлович
External Links: MGP · ORCID · ResearchGate · Math-Net.Ru · dblp
Documents Indexed: 65 Publications since 1974, including 1 Additional arXiv Preprint
Reviewing Activity: 162 Reviews
Co-Authors: 27 Co-Authors with 44 Joint Publications
114 Co-Co-Authors
all top 5

Co-Authors

21 single-authored
7 Simonenko, Igor’ Borisovich
5 Georgiev, K. A.
5 Kosolapov, Yuriĭ Vladimirovich
3 Avsyankin, Oleg Gennadievich
3 Glebov, A. V.
3 Stukopin, Vladimir Alekseevich
3 Vedenëv, Kirill Vladimirovich
2 Mkrtichan, V. V.
2 Shtejnberg, B. Ya.
2 Vinogradova, G. Yu.
1 Aydarkin, E. E.
1 Chin’ Ngok Min’
1 Chinh Ngoc Minh
1 Denisenko, Valeriĭ Vasil’evich
1 Lelyuk, Evgeniĭ Andreevich
1 Leonov, D. A.
1 Lukin, Aleksandr Vasil’evich
1 Maystrenko, Igor A.
1 Miroshnikova, E. I.
1 Mkrtichyan, Vyacheslav Vitalievich
1 Mogilevskaya, Nadezhda Sergeevna
1 Pilidi, V. S.
1 Shteĭnberg, Boris Yakovlevich
1 Smolkin, G. G.
1 Taran, Alekseĭ Aleksandrovich
1 Yevpak, Sergej A.
1 Zagumennov, D. V.
all top 5

Serials

8 Russian Mathematics
5 Functional Analysis and its Applications
4 Mathematical Notes
4 Journal of Mathematical Sciences (New York)
2 Funktsional’nyĭ Analiz i ego Prilozheniya
2 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya
2 Siberian Mathematical Journal
2 Izvestiya Severo-Kavkazskogo Nauchnogo Tsentra Vyssheĭ Shkoly. Estestvennye Nauki
2 Russian Academy of Sciences. Doklady. Mathematics
2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Severo-Kavkazskiĭ Region. Estestvennye Nauki
2 Doklady Mathematics
2 Proceedings of the Steklov Institute of Mathematics
2 Diskretnyĭ Analiz i Issledovanie Operatsiĭ
2 Journal of Computational and Engineering Mathematics
2 Prikladnaya Diskretnaya Matematika
1 Matematicheskie Zametki
1 Problems of Information Transmission
1 Russian Mathematical Surveys
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR
1 Soviet Mathematics. Doklady
1 Soviet Mathematics
1 Journal of Natural Geometry
1 Computational Mathematics and Mathematical Physics
1 St. Petersburg Mathematical Journal
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Chebyshevskiĭ Sbornik
1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Modelirovanie i Analiz Informatsionnykh Sistem
all top 5

Fields

43 Operator theory (47-XX)
16 Information and communication theory, circuits (94-XX)
14 Integral equations (45-XX)
12 Functional analysis (46-XX)
5 Algebraic topology (55-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Integral transforms, operational calculus (44-XX)
2 Associative rings and algebras (16-XX)
2 \(K\)-theory (19-XX)
2 Partial differential equations (35-XX)
2 Abstract harmonic analysis (43-XX)
2 Numerical analysis (65-XX)
2 Computer science (68-XX)
1 Combinatorics (05-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Quantum theory (81-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

41 Publications have been cited 87 times in 34 Documents Cited by ▼ Year ▼
On the algebra of multidimensional integral operators with homogeneous \(SO(n)\) -invariant kernels and weakly radially oscillating coefficients. Zbl 1221.47086
Avsyankin, O. G.; Deundyak, V. M.
6
2007
On the index of multidimensional integral operators with bihomogeneous kernel and variable coefficients. Zbl 1110.47038
Avsyankin, O. G.; Deundyak, V. M.
6
2005
On the index of convolution operators with slowly varying coefficients on abelian groups. Zbl 0597.47010
Deundyak, V. M.; Shtejnberg, B. Ya.
6
1985
The boundedness and the Fredholm property of integral operators with anisotropically homogeneous kernels of compact type and variable coefficients. Zbl 1269.47035
Deundyak, V. M.; Miroshnikova, E. I.
5
2012
Multidimensional integral operators with homogeneous kernels of compact type and multiplicatively weakly oscillating coefficients. Zbl 1273.47080
Deundyak, V. M.
5
2010
Calculation of the index of multidimensional integral operators with bihomogeneous kernels. Zbl 1127.47315
Avsyankin, O. G.; Deundyak, V. M.
3
2003
Nikol’skij ideals and their application to the study of algebras of singular integral operators. Zbl 0945.47052
Georgiev, K. A.; Deundyak, V. M.
3
1999
The study of the limits of the application of an information protection scheme based on PC-codes. Zbl 1249.94027
Deundyak, V. M.; Mkrtichan, V. V.
3
2011
Index of families of convolution operators on Abelian groups. Zbl 0726.47035
Deundyak, V. M.
3
1990
On some properties of the Schur-Hadamard product for linear codes and their applications. Zbl 1467.94048
Deundyak, V. M.; Kosolapov, Yu. V.
3
2020
On the decipherment of Sidel’nikov-type cryptosystems. Zbl 1459.94107
Deundyak, Vladimir M.; Kosolapov, Yury V.; Maystrenko, Igor A.
3
2020
Über eine Algebra von Operatoren vom Faltungstyp. Zbl 0313.44012
Deundjak, V. M.; Pilidi, V. S.
2
1974
Convolution operators with weakly oscillating coefficients in Hilbert moduli on groups and applications. (Convolution operators with weakly oscillating coeffcients in Hilbert moduli on groups and applications.) Zbl 1323.47053
Deundyak, V. M.
2
2015
Index of convolution operators with slowly varying coefficients on abelian groups. Zbl 0609.47024
Deundyak, V. M.; Shtejnberg, B. Ya.
2
1985
A graph-theoretical method for decoding some group MLD-codes. Zbl 1495.94150
Deundyak, Vladimir Mikhaĭlovich; Lelyuk, Evgeniĭ Andreevich
2
2020
Analysis of properties of \(q\)-ary Reed-Muller error-correcting codes viewed as codes for copyright protection. Zbl 1396.94108
Deundyak, V. M.; Yevpak, Sergej A.; Mkrtichyan, V. V.
2
2015
Evaluation of index of the convolution operator with slowly varying coefficients on the Abelian groups. Zbl 0765.47003
Deundjak, V. M.; Shteinberg, B. Ya.
2
1992
Symbols and homotopic classification of families of one-dimensional singular operators with piecewise-continuous coefficients. Zbl 0685.47031
Deundyak, V. M.; Simonenko, I. B.; Chin’ Ngok Min’
2
1988
An outer derivation construction on the algebra of singular integral operators with general coefficients in weighted spaces and its applications. Zbl 0988.47019
Deundyak, V. M.; Georgiev, K. A.
2
2000
The use of the direct sum decomposition algorithm for analyzing the strength of some McEliece-type cryptosystems. Zbl 1427.68076
Deundyak, Vladimir Mikhaĭlovich; Kosolapov, Yuriĭ Vladimirovich
2
2019
Fredholm property of integral operators with homogeneous kernels of compact type in the \(L_2\) space on the Heisenberg group. Zbl 1453.43003
Denisenko, V. V.; Deundyak, V. M.
2
2020
On the Berger-Loidreau cryptosystem on the tensor product of codes. Zbl 1429.94057
Deundyak, Vladimir Mikhaĭlovich; Kosolapov, Yuriĭ Vladimirovich
2
2018
Mathematical model of a powered broadcast encryption scheme, research of bounds of the scheme applying. Zbl 1224.94034
Deundyak, V. M.; Mkrtichan, V. V.
1
2009
Mathematical model of the Wire-Tap channel of the second type. Zbl 1199.68128
Deundyak, V. M.; Kosolapov, Yu. V.
1
2008
Calculation of the index of a family of multidimensional operators in discrete-continuous convolutions. Zbl 0425.58018
Deundyak, V. M.
1
1979
The structure of algebras of singular integral translation operators in weight spaces and calculation of the index of families. Zbl 1011.47035
Vinogradova, G. Yu.; Georgiev, K. A.; Deundyak, V. M.
1
2000
On the index theorem for multidimensional bisingular integral operators on Hilbert modules. Zbl 1022.19003
Deundyak, V. M.
1
2001
On homotopy properties of the space of invertible matrix one-dimensional singular operators with piecewise continuous coefficients. Zbl 0668.47028
Deundyak, V. M.
1
1988
Ideals of a Banach algebra of singular integral operators with piecewise continuous coefficients in the space \(L_ p\) on a composite contour. Zbl 0832.46043
Deundyak, V. M.; Simonenko, I. B.; Stukopin, V. A.
1
1993
Structure of algebras of singular integral operators in weighted \(L_ p\)-spaces on the circle. Zbl 0876.47030
Georgiev, K. A.; Deundyak, V. M.
1
1993
A criterion for the weighted Cauchy singular operator to belong to the algebra of singular integral operators with coefficients in a Sarason algebra. Zbl 0844.42007
Georgiev, K. A.; Deundyak, V. M.
1
1994
The index of families of Noether singular and bisingular operators with piecewise continuous coefficients on composite contours. Zbl 0859.45005
Deundyak, V. M.; Simonenko, I. B.; Stukopin, V. A.
1
1994
Homotopic classification and evaluation of index for families of multi-dimensional bisingular integral operators. Zbl 0872.47026
Deundyak, V. M.
1
1996
Homotopy classification of families of Noetherian singular operators with piecewise continuous coefficients on a composite contour. Zbl 0814.45006
Deundyak, V. M.; Simonenko, I. B.; Stukopin, V. A.
1
1993
On topological properties of the algebra of bisingular integral operators with piecewise-continuous coefficients. Zbl 0714.47035
Deundyak, V. M.
1
1990
On homotopy properties and indices of families of singular and bisingular operators with piecewise-continuous coefficients. Zbl 1072.47044
Deundyak, V. M.; Simonenko, I. B.
1
2005
The local method in pairs of \(L_p\)-spaces and the index. Zbl 0898.46025
Deundyak, V. M.; Simonenko, I. B.
1
1996
Projection method for solving equations for multidimensional operators with anisotropically homogeneous kernels of compact type. Zbl 1506.47081
Deundyak, Vladimir Mikhaĭlovich; Lukin, Aleksandr Vasil’evich
1
2019
Relationship between codes and idempotents in a dihedral group algebra. Zbl 1475.94199
Vedenev, K. V.; Deundyak, V. M.
1
2020
On the solvability of integral operators with bihomogeneous kernels of the compact type and variable coefficients. Zbl 1314.45013
Deundyak, V. M.
1
2014
Fourier method for solving two-sided convolution equations on finite noncommutative groups. Zbl 07002019
Deundyak, V. M.; Leonov, D. A.
1
2018
On some properties of the Schur-Hadamard product for linear codes and their applications. Zbl 1467.94048
Deundyak, V. M.; Kosolapov, Yu. V.
3
2020
On the decipherment of Sidel’nikov-type cryptosystems. Zbl 1459.94107
Deundyak, Vladimir M.; Kosolapov, Yury V.; Maystrenko, Igor A.
3
2020
A graph-theoretical method for decoding some group MLD-codes. Zbl 1495.94150
Deundyak, Vladimir Mikhaĭlovich; Lelyuk, Evgeniĭ Andreevich
2
2020
Fredholm property of integral operators with homogeneous kernels of compact type in the \(L_2\) space on the Heisenberg group. Zbl 1453.43003
Denisenko, V. V.; Deundyak, V. M.
2
2020
Relationship between codes and idempotents in a dihedral group algebra. Zbl 1475.94199
Vedenev, K. V.; Deundyak, V. M.
1
2020
The use of the direct sum decomposition algorithm for analyzing the strength of some McEliece-type cryptosystems. Zbl 1427.68076
Deundyak, Vladimir Mikhaĭlovich; Kosolapov, Yuriĭ Vladimirovich
2
2019
Projection method for solving equations for multidimensional operators with anisotropically homogeneous kernels of compact type. Zbl 1506.47081
Deundyak, Vladimir Mikhaĭlovich; Lukin, Aleksandr Vasil’evich
1
2019
On the Berger-Loidreau cryptosystem on the tensor product of codes. Zbl 1429.94057
Deundyak, Vladimir Mikhaĭlovich; Kosolapov, Yuriĭ Vladimirovich
2
2018
Fourier method for solving two-sided convolution equations on finite noncommutative groups. Zbl 07002019
Deundyak, V. M.; Leonov, D. A.
1
2018
Convolution operators with weakly oscillating coefficients in Hilbert moduli on groups and applications. (Convolution operators with weakly oscillating coeffcients in Hilbert moduli on groups and applications.) Zbl 1323.47053
Deundyak, V. M.
2
2015
Analysis of properties of \(q\)-ary Reed-Muller error-correcting codes viewed as codes for copyright protection. Zbl 1396.94108
Deundyak, V. M.; Yevpak, Sergej A.; Mkrtichyan, V. V.
2
2015
On the solvability of integral operators with bihomogeneous kernels of the compact type and variable coefficients. Zbl 1314.45013
Deundyak, V. M.
1
2014
The boundedness and the Fredholm property of integral operators with anisotropically homogeneous kernels of compact type and variable coefficients. Zbl 1269.47035
Deundyak, V. M.; Miroshnikova, E. I.
5
2012
The study of the limits of the application of an information protection scheme based on PC-codes. Zbl 1249.94027
Deundyak, V. M.; Mkrtichan, V. V.
3
2011
Multidimensional integral operators with homogeneous kernels of compact type and multiplicatively weakly oscillating coefficients. Zbl 1273.47080
Deundyak, V. M.
5
2010
Mathematical model of a powered broadcast encryption scheme, research of bounds of the scheme applying. Zbl 1224.94034
Deundyak, V. M.; Mkrtichan, V. V.
1
2009
Mathematical model of the Wire-Tap channel of the second type. Zbl 1199.68128
Deundyak, V. M.; Kosolapov, Yu. V.
1
2008
On the algebra of multidimensional integral operators with homogeneous \(SO(n)\) -invariant kernels and weakly radially oscillating coefficients. Zbl 1221.47086
Avsyankin, O. G.; Deundyak, V. M.
6
2007
On the index of multidimensional integral operators with bihomogeneous kernel and variable coefficients. Zbl 1110.47038
Avsyankin, O. G.; Deundyak, V. M.
6
2005
On homotopy properties and indices of families of singular and bisingular operators with piecewise-continuous coefficients. Zbl 1072.47044
Deundyak, V. M.; Simonenko, I. B.
1
2005
Calculation of the index of multidimensional integral operators with bihomogeneous kernels. Zbl 1127.47315
Avsyankin, O. G.; Deundyak, V. M.
3
2003
On the index theorem for multidimensional bisingular integral operators on Hilbert modules. Zbl 1022.19003
Deundyak, V. M.
1
2001
An outer derivation construction on the algebra of singular integral operators with general coefficients in weighted spaces and its applications. Zbl 0988.47019
Deundyak, V. M.; Georgiev, K. A.
2
2000
The structure of algebras of singular integral translation operators in weight spaces and calculation of the index of families. Zbl 1011.47035
Vinogradova, G. Yu.; Georgiev, K. A.; Deundyak, V. M.
1
2000
Nikol’skij ideals and their application to the study of algebras of singular integral operators. Zbl 0945.47052
Georgiev, K. A.; Deundyak, V. M.
3
1999
Homotopic classification and evaluation of index for families of multi-dimensional bisingular integral operators. Zbl 0872.47026
Deundyak, V. M.
1
1996
The local method in pairs of \(L_p\)-spaces and the index. Zbl 0898.46025
Deundyak, V. M.; Simonenko, I. B.
1
1996
A criterion for the weighted Cauchy singular operator to belong to the algebra of singular integral operators with coefficients in a Sarason algebra. Zbl 0844.42007
Georgiev, K. A.; Deundyak, V. M.
1
1994
The index of families of Noether singular and bisingular operators with piecewise continuous coefficients on composite contours. Zbl 0859.45005
Deundyak, V. M.; Simonenko, I. B.; Stukopin, V. A.
1
1994
Ideals of a Banach algebra of singular integral operators with piecewise continuous coefficients in the space \(L_ p\) on a composite contour. Zbl 0832.46043
Deundyak, V. M.; Simonenko, I. B.; Stukopin, V. A.
1
1993
Structure of algebras of singular integral operators in weighted \(L_ p\)-spaces on the circle. Zbl 0876.47030
Georgiev, K. A.; Deundyak, V. M.
1
1993
Homotopy classification of families of Noetherian singular operators with piecewise continuous coefficients on a composite contour. Zbl 0814.45006
Deundyak, V. M.; Simonenko, I. B.; Stukopin, V. A.
1
1993
Evaluation of index of the convolution operator with slowly varying coefficients on the Abelian groups. Zbl 0765.47003
Deundjak, V. M.; Shteinberg, B. Ya.
2
1992
Index of families of convolution operators on Abelian groups. Zbl 0726.47035
Deundyak, V. M.
3
1990
On topological properties of the algebra of bisingular integral operators with piecewise-continuous coefficients. Zbl 0714.47035
Deundyak, V. M.
1
1990
Symbols and homotopic classification of families of one-dimensional singular operators with piecewise-continuous coefficients. Zbl 0685.47031
Deundyak, V. M.; Simonenko, I. B.; Chin’ Ngok Min’
2
1988
On homotopy properties of the space of invertible matrix one-dimensional singular operators with piecewise continuous coefficients. Zbl 0668.47028
Deundyak, V. M.
1
1988
On the index of convolution operators with slowly varying coefficients on abelian groups. Zbl 0597.47010
Deundyak, V. M.; Shtejnberg, B. Ya.
6
1985
Index of convolution operators with slowly varying coefficients on abelian groups. Zbl 0609.47024
Deundyak, V. M.; Shtejnberg, B. Ya.
2
1985
Calculation of the index of a family of multidimensional operators in discrete-continuous convolutions. Zbl 0425.58018
Deundyak, V. M.
1
1979
Über eine Algebra von Operatoren vom Faltungstyp. Zbl 0313.44012
Deundjak, V. M.; Pilidi, V. S.
2
1974
all cited Publications top 5 cited Publications
all top 5

Cited by 23 Authors

18 Deundyak, Vladimir Mikhaĭlovich
6 Avsyankin, Oleg Gennadievich
3 Kosolapov, Yuriĭ Vladimirovich
2 Lelyuk, Evgeniĭ Andreevich
2 Mkrtichyan, Vyacheslav Vitalievich
2 Vedenëv, Kirill Vladimirovich
2 Zagumennov, D. V.
1 Ashikhmin, Sergey S.
1 Cao, Yonglin
1 Cao, Yuan
1 Denisenko, Valeriĭ Vasil’evich
1 Lukin, Aleksandr Vasil’evich
1 Ma, Fanghui
1 Miklyukov, V. M.
1 Miroshnikova, E. I.
1 Shtejnberg, B. Ya.
1 Simonenko, Igor’ Borisovich
1 Smolkin, G. G.
1 Turchenko, O. Yu.
1 Vinnichuk, I. I.
1 Vinogradova, G. Yu.
1 Willett, Rufus
1 Yevpak, Sergej A.
all top 5

Cited in 14 Serials

6 Journal of Mathematical Sciences (New York)
5 Mathematical Notes
5 Russian Mathematics
3 Prikladnaya Diskretnaya Matematika
2 Siberian Mathematical Journal
2 Proceedings of the Steklov Institute of Mathematics
2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
2 Matematicheskie Voprosy Kriptografii
1 Discrete Mathematics
1 Problems of Information Transmission
1 Functional Analysis and its Applications
1 Integral Equations and Operator Theory
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Modelirovanie i Analiz Informatsionnykh Sistem
all top 5

Cited in 12 Fields

21 Operator theory (47-XX)
12 Information and communication theory, circuits (94-XX)
5 Integral equations (45-XX)
4 Functional analysis (46-XX)
3 Abstract harmonic analysis (43-XX)
3 Computer science (68-XX)
2 Quantum theory (81-XX)
1 Functions of a complex variable (30-XX)
1 Partial differential equations (35-XX)
1 Integral transforms, operational calculus (44-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Numerical analysis (65-XX)

Citations by Year