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 Author ID: deundyak.v-m 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: 62 Publications since 1974 Reviewing Activity: 162 Reviews Co-Authors: 25 Co-Authors with 41 Joint Publications 91 Co-Co-Authors
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### 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 2 Mkrtichan, V. V. 2 Shtejnberg, B. Ya. 2 Vedenëv, Kirill Vladimirovich 2 Vinogradova, G. Yu. 1 Aydarkin, E. E. 1 Chin’ Ngok Min’ 1 Chinh Ngoc Minh 1 Denisenko, Valeriĭ Vasil’evich 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 Yevpak, Sergej A. 1 Zagumennov, D. V.
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### 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 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 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
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### Fields

 42 Operator theory (47-XX) 14 Integral equations (45-XX) 12 Functional analysis (46-XX) 12 Information and communication theory, circuits (94-XX) 5 Algebraic topology (55-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Integral transforms, operational calculus (44-XX) 3 Computer science (68-XX) 2 $$K$$-theory (19-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

34 Publications have been cited 63 times in 24 Documents Cited by Year
On the index of convolution operators with slowly varying coefficients on abelian groups. Zbl 0597.47010
Deundyak, V. M.; Shtejnberg, B. Ya.
1985
Multidimensional integral operators with homogeneous kernels of compact type and multiplicatively weakly oscillating coefficients. Zbl 1273.47080
Deundyak, V. M.
2010
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.
2007
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.
2012
On the index of multidimensional integral operators with bihomogeneous kernel and variable coefficients. Zbl 1110.47038
Avsyankin, O. G.; Deundyak, V. M.
2005
Nikol’skij ideals and their application to the study of algebras of singular integral operators. Zbl 0945.47052
Georgiev, K. A.; Deundyak, V. M.
1999
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.
2000
Index of families of convolution operators on Abelian groups. Zbl 0726.47035
Deundyak, V. M.
1990
Calculation of the index of multidimensional integral operators with bihomogeneous kernels. Zbl 1127.47315
Avsyankin, O. G.; Deundyak, V. M.
2003
Über eine Algebra von Operatoren vom Faltungstyp. Zbl 0313.44012
Deundjak, V. M.; Pilidi, V. S.
1974
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.
2011
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.
2015
Index of convolution operators with slowly varying coefficients on abelian groups. Zbl 0609.47024
Deundyak, V. M.; Shtejnberg, B. Ya.
1985
Evaluation of index of the convolution operator with slowly varying coefficients on the Abelian groups. Zbl 0765.47003
Deundjak, V. M.; Shteinberg, B. Ya.
1992
On the Berger-Loidreau cryptosystem on the tensor product of codes. Zbl 1429.94057
2018
On topological properties of the algebra of bisingular integral operators with piecewise-continuous coefficients. Zbl 0714.47035
Deundyak, V. M.
1990
On the index theorem for multidimensional bisingular integral operators on Hilbert modules. Zbl 1022.19003
Deundyak, V. M.
2001
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.
2000
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.
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.
1993
Calculation of the index of a family of multidimensional operators in discrete-continuous convolutions. Zbl 0425.58018
Deundyak, V. M.
1979
Homotopic classification and evaluation of index for families of multi-dimensional bisingular integral operators. Zbl 0872.47026
Deundyak, V. M.
1996
The local method in pairs of $$L_p$$-spaces and the index. Zbl 0898.46025
Deundyak, V. M.; Simonenko, I. B.
1996
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.
2005
Mathematical model of the Wire-Tap channel of the second type. Zbl 1199.68128
Deundyak, V. M.; Kosolapov, Yu. V.
2008
On homotopy properties of the space of invertible matrix one-dimensional singular operators with piecewise continuous coefficients. Zbl 0668.47028
Deundyak, V. M.
1988
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’
1988
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.
2015
On the solvability of integral operators with bihomogeneous kernels of the compact type and variable coefficients. Zbl 1314.45013
Deundyak, V. M.
2014
Structure of algebras of singular integral operators in weighted $$L_ p$$-spaces on the circle. Zbl 0876.47030
Georgiev, K. A.; Deundyak, V. M.
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.
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.
1994
The use of the direct sum decomposition algorithm for analyzing the strength of some McEliece-type cryptosystems. Zbl 1427.68076
2019
Fourier method for solving two-sided convolution equations on finite noncommutative groups. Zbl 07002019
Deundyak, V. M.; Leonov, D. A.
2018
The use of the direct sum decomposition algorithm for analyzing the strength of some McEliece-type cryptosystems. Zbl 1427.68076
2019
On the Berger-Loidreau cryptosystem on the tensor product of codes. Zbl 1429.94057
2018
Fourier method for solving two-sided convolution equations on finite noncommutative groups. Zbl 07002019
Deundyak, V. M.; Leonov, D. A.
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.
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.
2015
On the solvability of integral operators with bihomogeneous kernels of the compact type and variable coefficients. Zbl 1314.45013
Deundyak, V. M.
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.
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.
2011
Multidimensional integral operators with homogeneous kernels of compact type and multiplicatively weakly oscillating coefficients. Zbl 1273.47080
Deundyak, V. M.
2010
Mathematical model of the Wire-Tap channel of the second type. Zbl 1199.68128
Deundyak, V. M.; Kosolapov, Yu. V.
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.
2007
On the index of multidimensional integral operators with bihomogeneous kernel and variable coefficients. Zbl 1110.47038
Avsyankin, O. G.; Deundyak, V. M.
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.
2005
Calculation of the index of multidimensional integral operators with bihomogeneous kernels. Zbl 1127.47315
Avsyankin, O. G.; Deundyak, V. M.
2003
On the index theorem for multidimensional bisingular integral operators on Hilbert modules. Zbl 1022.19003
Deundyak, V. M.
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.
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.
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.
1999
Homotopic classification and evaluation of index for families of multi-dimensional bisingular integral operators. Zbl 0872.47026
Deundyak, V. M.
1996
The local method in pairs of $$L_p$$-spaces and the index. Zbl 0898.46025
Deundyak, V. M.; Simonenko, I. B.
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.
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.
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.
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.
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.
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.
1992
Index of families of convolution operators on Abelian groups. Zbl 0726.47035
Deundyak, V. M.
1990
On topological properties of the algebra of bisingular integral operators with piecewise-continuous coefficients. Zbl 0714.47035
Deundyak, V. M.
1990
On homotopy properties of the space of invertible matrix one-dimensional singular operators with piecewise continuous coefficients. Zbl 0668.47028
Deundyak, V. M.
1988
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&rsquo; Ngok Min&rsquo;
1988
On the index of convolution operators with slowly varying coefficients on abelian groups. Zbl 0597.47010
Deundyak, V. M.; Shtejnberg, B. Ya.
1985
Index of convolution operators with slowly varying coefficients on abelian groups. Zbl 0609.47024
Deundyak, V. M.; Shtejnberg, B. Ya.
1985
Calculation of the index of a family of multidimensional operators in discrete-continuous convolutions. Zbl 0425.58018
Deundyak, V. M.
1979
Über eine Algebra von Operatoren vom Faltungstyp. Zbl 0313.44012
Deundjak, V. M.; Pilidi, V. S.
1974
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### Cited by 17 Authors

 18 Deundyak, Vladimir Mikhaĭlovich 2 Avsyankin, Oleg Gennadievich 2 Mkrtichyan, Vyacheslav Vitalievich 1 Denisenko, Valeriĭ Vasil’evich 1 Kosolapov, Yuriĭ Vladimirovich 1 Lukin, Aleksandr Vasil’evich 1 Miroshnikova, E. I. 1 Shtejnberg, B. Ya. 1 Simonenko, Igor’ Borisovich 1 Smolkin, G. G. 1 Turchenko, O. Yu. 1 Vedenëv, Kirill Vladimirovich 1 Vinnichuk, I. I. 1 Vinogradova, G. Yu. 1 Willett, Rufus 1 Yevpak, Sergej A. 1 Zagumennov, D. V.
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### Cited in 12 Serials

 5 Journal of Mathematical Sciences (New York) 4 Russian Mathematics 3 Mathematical Notes 2 Siberian Mathematical Journal 2 Proceedings of the Steklov Institute of Mathematics 2 Prikladnaya Diskretnaya Matematika 1 Problems of Information Transmission 1 Functional Analysis and its Applications 1 Integral Equations and Operator Theory 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Matematicheskie Voprosy Kriptografii
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### Cited in 13 Fields

 16 Operator theory (47-XX) 6 Information and communication theory, circuits (94-XX) 4 Integral equations (45-XX) 3 Abstract harmonic analysis (43-XX) 3 Functional analysis (46-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-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) 1 Quantum theory (81-XX)