Edit Profile (opens in new tab) Avsyankin, Oleg Gennadievich Co-Author Distance Author ID: avsyankin.oleg-gennadievich Published as: Avsyankin, O. G.; Avsyankin, Oleg Gennadievich; Avsyankin, O. more...less Documents Indexed: 49 Publications since 1999 Co-Authors: 36 Co-Authors with 20 Joint Publications 950 Co-Co-Authors all top 5 Co-Authors 29 single-authored 8 Karapetyants, Nikolaĭ Karapetovich 3 Deundyak, Vladimir Mikhaĭlovich 3 Kusraev, Anatoly Georgievich 2 Guliyev, Vagif Sabir 2 Kamenskikh, Galina Aleksandrovna 2 Karapetyants, Alekseĭ Nikolaevich 2 Karyakin, Mikhail I. 2 Umarov, Khasan Galsanovich 2 Vakulov, Boris Grigorievich 1 Abanin, Aleksandr Vasil’evich 1 Askhabov, Sultan Nazhmudinovich 1 Burenkov, Viktor Ivanovich 1 Chuvenkov, A. F. 1 Erusalimskii, Yakov M. 1 Erusalimskyiĭ, I. M. 1 Gol’dman, Mikhail L’vovich 1 Kokilashvili, Vakhtang Mikhailovich 1 Kostetskaya, G. S. 1 Koval’chuk, Alisa Markovna 1 Kravchenko, Vladislav V. 1 Kusraeva, Zalina Anatol’evna 1 Liflyand, Elijah 1 Miroshnikova, E. I. 1 Peretyatkin, F. G. 1 Pikalova, T. N. 1 Pskhu, Arsen Vladimirovich 1 Rabinovich, Vladimir Samuilovich 1 Rogosin, Sergei V. 1 Rubin, Boris 1 Samko, Natalia G. 1 Samko, Stefan Grigor’evich 1 Soldatov, Aleksandr Pavlovich 1 Spitkovsky, Ilya Matvey 1 Stepanov, Vladimir Dmitrievich 1 Umarkhadzhiev, Salaudin Musaevich 1 Vodop’yanov, Sergeĭ Konstantinovich all top 5 Serials 13 Russian Mathematics 8 Mathematical Notes 8 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 5 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Severo-Kavkazskiĭ Region. Estestvennye Nauki 4 Doklady Mathematics 3 Sibirskiĭ Matematicheskiĭ Zhurnal 3 Differential Equations 2 Siberian Mathematical Journal 2 Journal of Natural Geometry 1 Eurasian Mathematical Journal all top 5 Fields 42 Operator theory (47-XX) 18 Integral equations (45-XX) 3 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 108 times in 33 Documents Cited by ▼ Year ▼ On the \(C^*\)-algebra generated by multidimensional integral operators with homogeneous kernels and multiplicative translations. Zbl 1163.47059Avsyankin, O. G. 13 2008 On the algebra of pair integral operators with homogeneous kernels. Zbl 1075.47036Avsyankin, O. G. 9 2003 Multidimensional integral operators with homogeneous kernels of degree \(-n\). Zbl 1044.47513Avsyankin, O. G.; Karapetyants, N. K. 9 1999 Boundedness and compactness of multidimensional integral operators with homogeneous kernels. Zbl 1284.45004Avsyankin, O. G.; Peretyat’kin, F. G. 7 2013 Algebra of multidimensional integral operators with homogeneous kernels with varying coefficients. Zbl 1027.47040Avsyankin, O. G.; Karapetyants, N. K. 7 2001 Projection method in the theory of integral operators with homogeneous kernels. Zbl 1110.47305Avsyankin, O. G.; Karapetyants, N. K. 6 2004 Projection method for integral operators with homogeneous kernels perturbed by one-sided multiplicative shifts. Zbl 1319.47040Avsyankin, O. 5 2015 On the index of multidimensional integral operators with bihomogeneous kernel and variable coefficients. Zbl 1110.47038Avsyankin, O. G.; Deundyak, V. M. 5 2005 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 pseudospectra of multidimensional integral operators with homogeneous kernels of degree \(-n\). Zbl 1036.45001Avsyankin, O. G.; Karapetyants, N. K. 4 2003 Multidimensional integral operators with bihomogeneous kernels: A projection method and pseudospectra. Zbl 1115.47058Avsyankin, O. G. 3 2006 Invertibility of multidimensional integral operators with bihomogeneous kernels. Zbl 07241903Avsyankin, O. G. 3 2020 On multidimensional integral operators with homogeneous kernels perturbed by one-sided multiplicative shift operators. Zbl 1326.47052Avsyankin, O. G. 3 2013 The projection method for matrix multidimensional dual integral operators with homogeneous kernels. Zbl 1299.45007Avsyankin, O. G. 2 2006 Calculation of the index of multidimensional integral operators with bihomogeneous kernels. Zbl 1127.47315Avsyankin, O. G.; Deundyak, V. M. 2 2003 The spectra and singular values of multidimensional integral operators with bihomogeneous kernels. Zbl 1164.47344Avsyankin, O. G. 2 2008 \(C^\ast\)-algebra of integral operators with homogeneous kernels and oscillating coefficients. Zbl 1358.47042Avsyankin, O. G. 2 2016 On the compactness of convolution-type operators in Morrey spaces. Zbl 06828062Avsyankin, O. G. 2 2017 Volterra type integral operators with homogeneous kernels in weighted \(L_p\)-spaces. Zbl 06837704Avsyankin, O. G. 2 2017 Multidimensional integral operators with homogeneous-difference kernels. Zbl 1250.47046Avsyankin, O. G. 2 2012 Multidimensional integral operators with homogeneous kernels and with coefficients oscillating at infinity. Zbl 1333.45011Avsyankin, O. G. 2 2015 Applicability of projection method to pair integral operators with homogeneous kernels. Zbl 1161.45306Avsyankin, O. G. 2 2002 On an algebra of multidimensional integral operators with homogeneous-difference kernels. Zbl 1331.47071Avsyankin, O. G. 2 2014 On integral operators with homogeneous kernels and trigonometric coefficients. Zbl 07374466Avsyankin, O. G. 2 2021 Multidimensional integral operators with homogeneous kernels in \(L^p\)-spaces with submultiplicative weight. Zbl 1217.47087Avsyankin, O. G.; Miroshnikova, E. I. 2 2010 On the \(C^\ast\)-algebra generated by multiplicative discrete convolution operators with oscillating coefficients. Zbl 1346.47083Avsyankin, O. G. 1 2014 Compactness of some operators of convolution type in generalized Morrey spaces. Zbl 07035812Avsyankin, O. G. 1 2018 On multidimensional integral operators with homogeneous kernels and oscillatory radial coefficients. Zbl 1183.47043Avsyankin, O. G. 1 2007 An algebra generated by multiplicative discrete convolution operators. Zbl 1233.47061Avsyankin, O. G. 1 2011 On the Noethericity of multidimensional integral operators with homogeneous and quasi-homogeneous kernels. Zbl 07092370Avsyankin, O. G. 1 2006 On the compactness of multidimensional integral operators with homogeneous kernels with variable coefficients. Zbl 1053.47045Avsyankin, O. G.; Karapetyants, N. K. 1 2001 On integral operators with homogeneous kernels and trigonometric coefficients. Zbl 07374466Avsyankin, O. G. 2 2021 Invertibility of multidimensional integral operators with bihomogeneous kernels. Zbl 07241903Avsyankin, O. G. 3 2020 Compactness of some operators of convolution type in generalized Morrey spaces. Zbl 07035812Avsyankin, O. G. 1 2018 On the compactness of convolution-type operators in Morrey spaces. Zbl 06828062Avsyankin, O. G. 2 2017 Volterra type integral operators with homogeneous kernels in weighted \(L_p\)-spaces. Zbl 06837704Avsyankin, O. G. 2 2017 \(C^\ast\)-algebra of integral operators with homogeneous kernels and oscillating coefficients. Zbl 1358.47042Avsyankin, O. G. 2 2016 Projection method for integral operators with homogeneous kernels perturbed by one-sided multiplicative shifts. Zbl 1319.47040Avsyankin, O. 5 2015 Multidimensional integral operators with homogeneous kernels and with coefficients oscillating at infinity. Zbl 1333.45011Avsyankin, O. G. 2 2015 On an algebra of multidimensional integral operators with homogeneous-difference kernels. Zbl 1331.47071Avsyankin, O. G. 2 2014 On the \(C^\ast\)-algebra generated by multiplicative discrete convolution operators with oscillating coefficients. Zbl 1346.47083Avsyankin, O. G. 1 2014 Boundedness and compactness of multidimensional integral operators with homogeneous kernels. Zbl 1284.45004Avsyankin, O. G.; Peretyat’kin, F. G. 7 2013 On multidimensional integral operators with homogeneous kernels perturbed by one-sided multiplicative shift operators. Zbl 1326.47052Avsyankin, O. G. 3 2013 Multidimensional integral operators with homogeneous-difference kernels. Zbl 1250.47046Avsyankin, O. G. 2 2012 An algebra generated by multiplicative discrete convolution operators. Zbl 1233.47061Avsyankin, O. G. 1 2011 Multidimensional integral operators with homogeneous kernels in \(L^p\)-spaces with submultiplicative weight. Zbl 1217.47087Avsyankin, O. G.; Miroshnikova, E. I. 2 2010 On the \(C^*\)-algebra generated by multidimensional integral operators with homogeneous kernels and multiplicative translations. Zbl 1163.47059Avsyankin, O. G. 13 2008 The spectra and singular values of multidimensional integral operators with bihomogeneous kernels. Zbl 1164.47344Avsyankin, O. G. 2 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 multidimensional integral operators with homogeneous kernels and oscillatory radial coefficients. Zbl 1183.47043Avsyankin, O. G. 1 2007 Multidimensional integral operators with bihomogeneous kernels: A projection method and pseudospectra. Zbl 1115.47058Avsyankin, O. G. 3 2006 The projection method for matrix multidimensional dual integral operators with homogeneous kernels. Zbl 1299.45007Avsyankin, O. G. 2 2006 On the Noethericity of multidimensional integral operators with homogeneous and quasi-homogeneous kernels. Zbl 07092370Avsyankin, O. G. 1 2006 On the index of multidimensional integral operators with bihomogeneous kernel and variable coefficients. Zbl 1110.47038Avsyankin, O. G.; Deundyak, V. M. 5 2005 Projection method in the theory of integral operators with homogeneous kernels. Zbl 1110.47305Avsyankin, O. G.; Karapetyants, N. K. 6 2004 On the algebra of pair integral operators with homogeneous kernels. Zbl 1075.47036Avsyankin, O. G. 9 2003 On the pseudospectra of multidimensional integral operators with homogeneous kernels of degree \(-n\). Zbl 1036.45001Avsyankin, O. G.; Karapetyants, N. K. 4 2003 Calculation of the index of multidimensional integral operators with bihomogeneous kernels. Zbl 1127.47315Avsyankin, O. G.; Deundyak, V. M. 2 2003 Applicability of projection method to pair integral operators with homogeneous kernels. Zbl 1161.45306Avsyankin, O. G. 2 2002 Algebra of multidimensional integral operators with homogeneous kernels with varying coefficients. Zbl 1027.47040Avsyankin, O. G.; Karapetyants, N. K. 7 2001 On the compactness of multidimensional integral operators with homogeneous kernels with variable coefficients. Zbl 1053.47045Avsyankin, O. G.; Karapetyants, N. K. 1 2001 Multidimensional integral operators with homogeneous kernels of degree \(-n\). Zbl 1044.47513Avsyankin, O. G.; Karapetyants, N. K. 9 1999 all cited Publications top 5 cited Publications all top 5 Cited by 10 Authors 23 Avsyankin, Oleg Gennadievich 9 Deundyak, Vladimir Mikhaĭlovich 1 Bikchentaev, Aĭrat Midkhatovich 1 Denisenko, Valeriĭ Vasil’evich 1 Kamenskikh, Galina Aleksandrovna 1 Koval’chuk, Alisa Markovna 1 Lukin, Aleksandr Vasil’evich 1 Miroshnikova, E. I. 1 Peretyatkin, F. G. 1 Umarkhadzhiev, Salaudin Musaevich all top 5 Cited in 9 Serials 11 Russian Mathematics 8 Mathematical Notes 3 Journal of Mathematical Sciences (New York) 3 Differential Equations 2 Siberian Mathematical Journal 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Proceedings of the Steklov Institute of Mathematics 1 Doklady Mathematics 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki all top 5 Cited in 10 Fields 31 Operator theory (47-XX) 15 Integral equations (45-XX) 3 Abstract harmonic analysis (43-XX) 3 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Numerical analysis (65-XX) Citations by Year