Edit Profile (opens in new tab) Deundyak, Vladimir Mikhaĭlovich Co-Author Distance Author ID: deundyak.v-m Published as: Deundyak, V. M.; Deundyak, Vladimir Mikhaĭlovich; Deundjak, V. M.; Deundyak, Vladimir M. more...less Further Spellings: Деундяк Владимир Михайлович External Links: MGP · ORCID · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 64 Publications since 1974 Reviewing Activity: 162 Reviews Co-Authors: 27 Co-Authors with 43 Joint Publications 107 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 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 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) 15 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 \(K\)-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 Associative rings and algebras (16-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 36 Publications have been cited 70 times in 27 Documents Cited by ▼ Year ▼ On the index of convolution operators with slowly varying coefficients on abelian groups. Zbl 0597.47010Deundyak, V. M.; Shtejnberg, B. Ya. 6 1985 On the index of multidimensional integral operators with bihomogeneous kernel and variable coefficients. Zbl 1110.47038Avsyankin, O. G.; Deundyak, V. M. 5 2005 The boundedness and the Fredholm property of integral operators with anisotropically homogeneous kernels of compact type and variable coefficients. Zbl 1269.47035Deundyak, V. M.; Miroshnikova, E. I. 5 2012 Multidimensional integral operators with homogeneous kernels of compact type and multiplicatively weakly oscillating coefficients. Zbl 1273.47080Deundyak, V. M. 5 2010 On the algebra of multidimensional integral operators with homogeneous \(SO(n)\) -invariant kernels and weakly radially oscillating coefficients. Zbl 1221.47086Avsyankin, O. G.; Deundyak, V. M. 4 2007 Nikol’skij ideals and their application to the study of algebras of singular integral operators. Zbl 0945.47052Georgiev, 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 1249.94027Deundyak, V. M.; Mkrtichan, V. V. 3 2011 Evaluation of index of the convolution operator with slowly varying coefficients on the Abelian groups. Zbl 0765.47003Deundjak, V. M.; Shteinberg, B. Ya. 2 1992 Analysis of properties of \(q\)-ary Reed-Muller error-correcting codes viewed as codes for copyright protection. Zbl 1396.94108Deundyak, V. M.; Yevpak, Sergej A.; Mkrtichyan, V. V. 2 2015 Symbols and homotopic classification of families of one-dimensional singular operators with piecewise-continuous coefficients. Zbl 0685.47031Deundyak, V. M.; Simonenko, I. B.; Chin’ Ngok Min’ 2 1988 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 1323.47053Deundyak, V. M. 2 2015 Index of convolution operators with slowly varying coefficients on abelian groups. Zbl 0609.47024Deundyak, V. M.; Shtejnberg, B. Ya. 2 1985 Über eine Algebra von Operatoren vom Faltungstyp. Zbl 0313.44012Deundjak, V. M.; Pilidi, V. S. 2 1974 Index of families of convolution operators on Abelian groups. Zbl 0726.47035Deundyak, V. M. 2 1990 Calculation of the index of multidimensional integral operators with bihomogeneous kernels. Zbl 1127.47315Avsyankin, O. G.; Deundyak, V. M. 2 2003 An outer derivation construction on the algebra of singular integral operators with general coefficients in weighted spaces and its applications. Zbl 0988.47019Deundyak, V. M.; Georgiev, K. A. 2 2000 On the Berger-Loidreau cryptosystem on the tensor product of codes. Zbl 1429.94057Deundyak, Vladimir Mikhaĭlovich; Kosolapov, Yuriĭ Vladimirovich 2 2018 The local method in pairs of \(L_p\)-spaces and the index. Zbl 0898.46025Deundyak, V. M.; Simonenko, I. B. 1 1996 On the index theorem for multidimensional bisingular integral operators on Hilbert modules. Zbl 1022.19003Deundyak, V. M. 1 2001 On homotopy properties and indices of families of singular and bisingular operators with piecewise-continuous coefficients. Zbl 1072.47044Deundyak, V. M.; Simonenko, I. B. 1 2005 Calculation of the index of a family of multidimensional operators in discrete-continuous convolutions. Zbl 0425.58018Deundyak, V. M. 1 1979 The structure of algebras of singular integral translation operators in weight spaces and calculation of the index of families. Zbl 1011.47035Vinogradova, G. Yu.; Georgiev, K. A.; Deundyak, V. M. 1 2000 On homotopy properties of the space of invertible matrix one-dimensional singular operators with piecewise continuous coefficients. Zbl 0668.47028Deundyak, V. M. 1 1988 On the solvability of integral operators with bihomogeneous kernels of the compact type and variable coefficients. Zbl 1314.45013Deundyak, V. M. 1 2014 The index of families of Noether singular and bisingular operators with piecewise continuous coefficients on composite contours. Zbl 0859.45005Deundyak, 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 0872.47026Deundyak, V. M. 1 1996 On topological properties of the algebra of bisingular integral operators with piecewise-continuous coefficients. Zbl 0714.47035Deundyak, V. M. 1 1990 Structure of algebras of singular integral operators in weighted \(L_ p\)-spaces on the circle. Zbl 0876.47030Georgiev, 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 0844.42007Georgiev, K. A.; Deundyak, V. M. 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 0832.46043Deundyak, V. M.; Simonenko, I. B.; Stukopin, V. A. 1 1993 Homotopy classification of families of Noetherian singular operators with piecewise continuous coefficients on a composite contour. Zbl 0814.45006Deundyak, V. M.; Simonenko, I. B.; Stukopin, V. A. 1 1993 Mathematical model of the Wire-Tap channel of the second type. Zbl 1199.68128Deundyak, V. M.; Kosolapov, Yu. V. 1 2008 Fourier method for solving two-sided convolution equations on finite noncommutative groups. Zbl 07002019Deundyak, V. M.; Leonov, D. A. 1 2018 The use of the direct sum decomposition algorithm for analyzing the strength of some McEliece-type cryptosystems. Zbl 1427.68076Deundyak, Vladimir Mikhaĭlovich; Kosolapov, Yuriĭ Vladimirovich 1 2019 Projection method for solving equations for multidimensional operators with anisotropically homogeneous kernels of compact type. Zbl 1506.47081Deundyak, Vladimir Mikhaĭlovich; Lukin, Aleksandr Vasil’evich 1 2019 Relationship between codes and idempotents in a dihedral group algebra. Zbl 1475.94199Vedenev, K. V.; Deundyak, V. M. 1 2020 Relationship between codes and idempotents in a dihedral group algebra. Zbl 1475.94199Vedenev, 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 1427.68076Deundyak, Vladimir Mikhaĭlovich; Kosolapov, Yuriĭ Vladimirovich 1 2019 Projection method for solving equations for multidimensional operators with anisotropically homogeneous kernels of compact type. Zbl 1506.47081Deundyak, Vladimir Mikhaĭlovich; Lukin, Aleksandr Vasil’evich 1 2019 On the Berger-Loidreau cryptosystem on the tensor product of codes. Zbl 1429.94057Deundyak, Vladimir Mikhaĭlovich; Kosolapov, Yuriĭ Vladimirovich 2 2018 Fourier method for solving two-sided convolution equations on finite noncommutative groups. Zbl 07002019Deundyak, V. M.; Leonov, D. A. 1 2018 Analysis of properties of \(q\)-ary Reed-Muller error-correcting codes viewed as codes for copyright protection. Zbl 1396.94108Deundyak, V. M.; Yevpak, Sergej A.; Mkrtichyan, V. V. 2 2015 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 1323.47053Deundyak, V. M. 2 2015 On the solvability of integral operators with bihomogeneous kernels of the compact type and variable coefficients. Zbl 1314.45013Deundyak, V. M. 1 2014 The boundedness and the Fredholm property of integral operators with anisotropically homogeneous kernels of compact type and variable coefficients. Zbl 1269.47035Deundyak, 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 1249.94027Deundyak, V. M.; Mkrtichan, V. V. 3 2011 Multidimensional integral operators with homogeneous kernels of compact type and multiplicatively weakly oscillating coefficients. Zbl 1273.47080Deundyak, V. M. 5 2010 Mathematical model of the Wire-Tap channel of the second type. Zbl 1199.68128Deundyak, 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 1221.47086Avsyankin, O. G.; Deundyak, V. M. 4 2007 On the index of multidimensional integral operators with bihomogeneous kernel and variable coefficients. Zbl 1110.47038Avsyankin, O. G.; Deundyak, V. M. 5 2005 On homotopy properties and indices of families of singular and bisingular operators with piecewise-continuous coefficients. Zbl 1072.47044Deundyak, V. M.; Simonenko, I. B. 1 2005 Calculation of the index of multidimensional integral operators with bihomogeneous kernels. Zbl 1127.47315Avsyankin, O. G.; Deundyak, V. M. 2 2003 On the index theorem for multidimensional bisingular integral operators on Hilbert modules. Zbl 1022.19003Deundyak, 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 0988.47019Deundyak, 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 1011.47035Vinogradova, 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 0945.47052Georgiev, K. A.; Deundyak, V. M. 3 1999 The local method in pairs of \(L_p\)-spaces and the index. Zbl 0898.46025Deundyak, V. M.; Simonenko, I. B. 1 1996 Homotopic classification and evaluation of index for families of multi-dimensional bisingular integral operators. Zbl 0872.47026Deundyak, V. M. 1 1996 The index of families of Noether singular and bisingular operators with piecewise continuous coefficients on composite contours. Zbl 0859.45005Deundyak, V. M.; Simonenko, I. B.; Stukopin, V. A. 1 1994 A criterion for the weighted Cauchy singular operator to belong to the algebra of singular integral operators with coefficients in a Sarason algebra. Zbl 0844.42007Georgiev, K. A.; Deundyak, V. M. 1 1994 Structure of algebras of singular integral operators in weighted \(L_ p\)-spaces on the circle. Zbl 0876.47030Georgiev, K. A.; Deundyak, V. M. 1 1993 Ideals of a Banach algebra of singular integral operators with piecewise continuous coefficients in the space \(L_ p\) on a composite contour. Zbl 0832.46043Deundyak, V. M.; Simonenko, I. B.; Stukopin, V. A. 1 1993 Homotopy classification of families of Noetherian singular operators with piecewise continuous coefficients on a composite contour. Zbl 0814.45006Deundyak, 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 0765.47003Deundjak, V. M.; Shteinberg, B. Ya. 2 1992 Index of families of convolution operators on Abelian groups. Zbl 0726.47035Deundyak, V. M. 2 1990 On topological properties of the algebra of bisingular integral operators with piecewise-continuous coefficients. Zbl 0714.47035Deundyak, V. M. 1 1990 Symbols and homotopic classification of families of one-dimensional singular operators with piecewise-continuous coefficients. Zbl 0685.47031Deundyak, 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 0668.47028Deundyak, V. M. 1 1988 On the index of convolution operators with slowly varying coefficients on abelian groups. Zbl 0597.47010Deundyak, V. M.; Shtejnberg, B. Ya. 6 1985 Index of convolution operators with slowly varying coefficients on abelian groups. Zbl 0609.47024Deundyak, V. M.; Shtejnberg, B. Ya. 2 1985 Calculation of the index of a family of multidimensional operators in discrete-continuous convolutions. Zbl 0425.58018Deundyak, V. M. 1 1979 Über eine Algebra von Operatoren vom Faltungstyp. Zbl 0313.44012Deundjak, V. M.; Pilidi, V. S. 2 1974 all cited Publications top 5 cited Publications all top 5 Cited by 21 Authors 18 Deundyak, Vladimir Mikhaĭlovich 3 Avsyankin, Oleg Gennadievich 2 Mkrtichyan, Vyacheslav Vitalievich 2 Zagumennov, D. V. 1 Cao, Yonglin 1 Cao, Yuan 1 Denisenko, Valeriĭ Vasil’evich 1 Kosolapov, Yuriĭ Vladimirovich 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 Vedenëv, Kirill Vladimirovich 1 Vinnichuk, I. I. 1 Vinogradova, G. Yu. 1 Willett, Rufus 1 Yevpak, Sergej A. all top 5 Cited in 14 Serials 5 Russian Mathematics 5 Journal of Mathematical Sciences (New York) 3 Mathematical Notes 2 Siberian Mathematical Journal 2 Proceedings of the Steklov Institute of Mathematics 2 Prikladnaya Diskretnaya Matematika 1 Discrete Mathematics 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 Modelirovanie i Analiz Informatsionnykh Sistem 1 Matematicheskie Voprosy Kriptografii all top 5 Cited in 12 Fields 18 Operator theory (47-XX) 8 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 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) Citations by Year