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 the index of convolution operators with slowly varying coefficients on abelian groups. Zbl 0597.47010
Deundyak, V. M.; Shtejnberg, B. Ya. |
|
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. |
|
2012
|
Multidimensional integral operators with homogeneous kernels of compact type and multiplicatively weakly oscillating coefficients. Zbl 1273.47080
Deundyak, V. M. |
|
2010
|
Calculation of the index of multidimensional integral operators with bihomogeneous kernels. Zbl 1127.47315
Avsyankin, O. G.; Deundyak, V. M. |
|
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. |
|
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. |
|
2011
|
Index of families of convolution operators on Abelian groups. Zbl 0726.47035
Deundyak, V. M. |
|
1990
|
On some properties of the Schur-Hadamard product for linear codes and their applications. Zbl 1467.94048
Deundyak, V. M.; Kosolapov, Yu. V. |
|
2020
|
On the decipherment of Sidel’nikov-type cryptosystems. Zbl 1459.94107
Deundyak, Vladimir M.; Kosolapov, Yury V.; Maystrenko, Igor A. |
|
2020
|
Über eine Algebra von Operatoren vom Faltungstyp. Zbl 0313.44012
Deundjak, V. M.; Pilidi, V. S. |
|
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. |
|
2015
|
Index of convolution operators with slowly varying coefficients on abelian groups. Zbl 0609.47024
Deundyak, V. M.; Shtejnberg, B. Ya. |
|
1985
|
A graph-theoretical method for decoding some group MLD-codes. Zbl 1495.94150
Deundyak, Vladimir Mikhaĭlovich; Lelyuk, Evgeniĭ Andreevich |
|
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. |
|
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. |
|
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’ |
|
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. |
|
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 |
|
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. |
|
2020
|
On the Berger-Loidreau cryptosystem on the tensor product of codes. Zbl 1429.94057
Deundyak, Vladimir Mikhaĭlovich; Kosolapov, Yuriĭ Vladimirovich |
|
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. |
|
2009
|
Mathematical model of the Wire-Tap channel of the second type. Zbl 1199.68128
Deundyak, V. M.; Kosolapov, Yu. V. |
|
2008
|
Calculation of the index of a family of multidimensional operators in discrete-continuous convolutions. Zbl 0425.58018
Deundyak, V. M. |
|
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. |
|
2000
|
On the index theorem for multidimensional bisingular integral operators on Hilbert modules. Zbl 1022.19003
Deundyak, V. M. |
|
2001
|
On homotopy properties of the space of invertible matrix one-dimensional singular operators with piecewise continuous coefficients. Zbl 0668.47028
Deundyak, V. M. |
|
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. |
|
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
|
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
|
Homotopic classification and evaluation of index for families of multi-dimensional bisingular integral operators. Zbl 0872.47026
Deundyak, V. M. |
|
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. |
|
1993
|
On topological properties of the algebra of bisingular integral operators with piecewise-continuous coefficients. Zbl 0714.47035
Deundyak, V. M. |
|
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. |
|
2005
|
The local method in pairs of \(L_p\)-spaces and the index. Zbl 0898.46025
Deundyak, V. M.; Simonenko, I. B. |
|
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 |
|
2019
|
Relationship between codes and idempotents in a dihedral group algebra. Zbl 1475.94199
Vedenev, K. V.; Deundyak, V. M. |
|
2020
|
On the solvability of integral operators with bihomogeneous kernels of the compact type and variable coefficients. Zbl 1314.45013
Deundyak, V. M. |
|
2014
|
Fourier method for solving two-sided convolution equations on finite noncommutative groups. Zbl 07002019
Deundyak, V. M.; Leonov, D. A. |
|
2018
|
On some properties of the Schur-Hadamard product for linear codes and their applications. Zbl 1467.94048
Deundyak, V. M.; Kosolapov, Yu. V. |
|
2020
|
On the decipherment of Sidel’nikov-type cryptosystems. Zbl 1459.94107
Deundyak, Vladimir M.; Kosolapov, Yury V.; Maystrenko, Igor A. |
|
2020
|
A graph-theoretical method for decoding some group MLD-codes. Zbl 1495.94150
Deundyak, Vladimir Mikhaĭlovich; Lelyuk, Evgeniĭ Andreevich |
|
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. |
|
2020
|
Relationship between codes and idempotents in a dihedral group algebra. Zbl 1475.94199
Vedenev, K. V.; Deundyak, V. M. |
|
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 |
|
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 |
|
2019
|
On the Berger-Loidreau cryptosystem on the tensor product of codes. Zbl 1429.94057
Deundyak, Vladimir Mikhaĭlovich; Kosolapov, Yuriĭ Vladimirovich |
|
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 a powered broadcast encryption scheme, research of bounds of the scheme applying. Zbl 1224.94034
Deundyak, V. M.; Mkrtichan, V. V. |
|
2009
|
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
|
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
|
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
|
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
|
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
|
On homotopy properties of the space of invertible matrix one-dimensional singular operators with piecewise continuous coefficients. Zbl 0668.47028
Deundyak, V. M. |
|
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
|