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Avsyankin, Oleg Gennadievich
Associate professor
Doctor of physico-mathematical sciences (2009)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: integral operator, homogeneous kernel, convolution operator, invertibility, the Noetherian property, index, Banach algebra, spectrum, pseudospectrum, projection method, Morrey space
UDC: 517.9, 517.968, 517.948

Subject:

Multidimensional integral operators with homogeneous kernels, convolution type operators, operator Banach algebras, projection methods for solving operator equations
   
Main publications:
  1. Avsyankin O.G., Karapetyants N.K., “Mnogomernye integralnye operatory s odnorodnymi stepeni $n$ yadrami”, Doklady RAN, 368:6 (1999), 727–729
  2. Avsyankin O.G., “Ob algebre parnykh integralnykh operatorov s odnorodnymi yadrami”, Matem. zametki, 73:4 (2003), 483–493
  3. Avsyankin O.G., “O $C^*$-algebre, porozhdennoi mnogomernymi integralnymi operatorami s odnorodnymi yadrami i operatorami multiplikativnogo sdviga”, Doklady RAN, 419:6 (2008), 727–728
  4. Avsyankin O.G., “O spektrakh i singulyarnykh znacheniyakh mnogomernykh integralnykh operatorov s biodnorodnymi yadrami”, Sib. matem. zhurnal, 49:3 (2008), 490–496

https://www.mathnet.ru/eng/person18240
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/615115
https://orcid.org/0000-0001-9091-417X

Publications in Math-Net.Ru Citations
2025
1. O. G. Avsyankin, “On the compactness of integral operators with homogeneous kernels and variable coefficients on the Heisenberg group”, Mat. Zametki, 118:1 (2025),  143–148  mathnet; Math. Notes, 118:1 (2025), 193–198
2. O. G. Avsyankin, G. A. Tikhonova, “Boundedness of Integral Operators with Homogeneous Kernels in Weighted Lp-spaces with Radial Weights”, Izvestiya Vuzov. Severo-Kavkazskii Region. Natural Science, 2025, no. 3,  9–16  mathnet  elib
2024
3. O. G. Avsyankin, S. S. Ashihmin, “On the compactness of integral operators with homogeneous kernels in local Morrey spaces”, Mat. Zametki, 116:3 (2024),  327–338  mathnet; Math. Notes, 116:3 (2024), 397–407  scopus 1
2023
4. O. G. Avsyankin, “Projection method for a class of integral operators with bihomogeneous kernels”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 3,  3–11  mathnet; Russian Math. (Iz. VUZ), 67:3 (2023), 1–8 1
5. O. G. Avsyankin, “On Integral Operators with Homogeneous Kernels in Weighted Lebesgue Spaces on the Heisenberg Group”, Mat. Zametki, 114:1 (2023),  144–148  mathnet  mathscinet; Math. Notes, 114:1 (2023), 117–121  scopus 5
2022
6. O. G. Avsyankin, G. A. Kamenskikh, “On the algebra generated by Volterra integral operators with homogeneous kernels and continuous coefficients”, Vladikavkaz. Mat. Zh., 24:4 (2022),  19–29  mathnet  mathscinet; Sib. Math. J., 64:4 (2023), 955–962 3
2021
7. O. G. Avsyankin, “On integral operators with homogeneous kernels in Morrey spaces”, Eurasian Math. J., 12:1 (2021),  92–96  mathnet  isi  scopus 3
8. O. G. Avsyankin, “On integral operators with homogeneous kernels and trigonometric coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 4,  3–10  mathnet; Russian Math. (Iz. VUZ), 65:4 (2021), 1–7  isi  scopus 4
2020
9. O. G. Avsyankin, “Integral operators with periodic kernels in spaces of integrable functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 2,  3–9  mathnet; Russian Math. (Iz. VUZ), 64:2 (2020), 1–7  isi  scopus
10. O. G. Avsyankin, “Invertibility of Multidimensional Integral Operators with Bihomogeneous Kernels”, Mat. Zametki, 108:2 (2020),  291–295  mathnet  mathscinet  elib; Math. Notes, 108:2 (2020), 277–281  isi  scopus 10
2019
11. O. G. Avsyankin, “On invertibility of convolution type operators in Morrey spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 6,  3–10  mathnet; Russian Math. (Iz. VUZ), 63:6 (2019), 1–7  isi  scopus 1
2018
12. O. G. Avsyankin, “Compactness of Some Operators of Convolution Type in Generalized Morrey Spaces”, Mat. Zametki, 104:3 (2018),  336–344  mathnet  mathscinet  elib; Math. Notes, 104:3 (2018), 331–338  isi  scopus 4
13. O. G. Avsyankin, A. M. Koval'chuk, “Paired integral operators with homogeneous kernels perturbated by operators of multiplicative shift”, Vladikavkaz. Mat. Zh., 20:1 (2018),  10–20  mathnet  elib
2017
14. O. G. Avsyankin, “Volterra type integral operators with homogeneous kernels in weighted $L_p$-spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 11,  3–12  mathnet; Russian Math. (Iz. VUZ), 61:11 (2017), 1–9  isi  scopus 6
15. O. G. Avsyankin, “On the Compactness of Convolution-Type Operators in Morrey Spaces”, Mat. Zametki, 102:4 (2017),  483–489  mathnet  mathscinet  elib; Math. Notes, 102:4 (2017), 437–443  isi  scopus 2
2016
16. O. G. Avsyankin, “$C^*$-Algebra of Integral Operators with Homogeneous Kernels and Oscillating Coefficients”, Mat. Zametki, 99:3 (2016),  323–332  mathnet  mathscinet  elib; Math. Notes, 99:3 (2016), 345–353  isi  scopus 7
17. O. G. Avsyankin, “Paired integral operators with homogeneous-difference kernels”, Vladikavkaz. Mat. Zh., 18:2 (2016),  3–11  mathnet
2015
18. O. G. Avsyankin, “Projection method for integral operators with homogeneous kernels perturbed by one-sided multiplicative shifts”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 2,  10–17  mathnet; Russian Math. (Iz. VUZ), 59:2 (2015), 7–13  scopus 6
2014
19. O. G. Avsyankin, “On an Algebra of Multidimensional Integral Operators with Homogeneous-Difference Kernels”, Mat. Zametki, 95:2 (2014),  163–169  mathnet  mathscinet  elib; Math. Notes, 95:2 (2014), 143–148  isi  elib  scopus 2
20. O. G. Avsyankin, “On the $C^*$-algebra generated by multiplicative discrete convolution operators with oscillating coefficients”, Sibirsk. Mat. Zh., 55:6 (2014),  1199–1207  mathnet  mathscinet; Siberian Math. J., 55:6 (2014), 977–983  isi  scopus 2
2013
21. O. G. Avsyankin, F. G. Peretyat'kin, “On boundedness and compactness of multidimensional integral operators with homogeneous kernels”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 11,  64–68  mathnet; Russian Math. (Iz. VUZ), 57:11 (2013), 57–60  scopus 10
22. O. G. Avsyankin, “On multidimensional integral operators with homogeneous kernels perturbated by one-sided multiplicative shift operators”, Vladikavkaz. Mat. Zh., 15:1 (2013),  5–13  mathnet 3
2011
23. O. G. Avsyankin, “An algebra generated by multiplicative discrete convolution operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1,  3–9  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:1 (2011), 1–6  scopus 2
2008
24. O. G. Avsyankin, “The spectra and singular values of multidimensional integral operators with bihomogeneous kernels”, Sibirsk. Mat. Zh., 49:3 (2008),  490–496  mathnet  mathscinet  zmath; Siberian Math. J., 49:3 (2008), 389–394  isi  scopus 2
2007
25. O. G. Avsyankin, “Multidimensional integral operators with kernels of mixed homogeneity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 8,  66–69  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 51:8 (2007), 63–66
26. O. G. Avsyankin, V. M. Deundyak, “On the Algebra of Multidimensional Integral Operators with Homogeneous $SO(n)$-Invariant Kernels and Weakly Radially Oscillating Coefficients”, Mat. Zametki, 82:2 (2007),  163–176  mathnet  mathscinet  elib; Math. Notes, 82:2 (2007), 141–152  isi  scopus 7
2006
27. O. G. Avsyankin, “On the Noethericity of multidimensional integral operators with homogeneous and quasi-homogeneous kernels”, Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 11,  3–10  mathnet  mathscinet; Russian Math. (Iz. VUZ), 50:11 (2006), 1–8 2
28. O. G. Avsyankin, “Multidimensional integral operators with bihomogeneous kernels: A projection method and pseudospectra”, Sibirsk. Mat. Zh., 47:3 (2006),  501–513  mathnet  mathscinet  zmath; Siberian Math. J., 47:3 (2006), 410–421  isi  scopus 4
29. O. G. Avsyankin, “The projection method for matrix multidimensional dual integral operators with homogeneous kernels”, Vladikavkaz. Mat. Zh., 8:1 (2006),  3–10  mathnet  mathscinet 1
2005
30. O. G. Avsyankin, V. M. Deundyak, “On the index of multidimensional integral operators with bihomogeneous kernels and variable coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 3,  3–12  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 2005, no. 3, 1–10 8
2004
31. O. G. Avsyankin, N. K. Karapetyants, “Projection Method in the Theory of Integral Operators with Homogeneous Kernels”, Mat. Zametki, 75:2 (2004),  163–172  mathnet  mathscinet  zmath; Math. Notes, 75:2 (2004), 149–157  isi 12
2003
32. O. G. Avsyankin, “On the Algebra of Pair Integral Operators with Homogeneous Kernels”, Mat. Zametki, 73:4 (2003),  483–493  mathnet  mathscinet  zmath; Math. Notes, 73:4 (2003), 457–466  isi  scopus 17
33. O. G. Avsyankin, N. K. Karapetyants, “On the pseudospectra of multidimensional integral operators with homogeneous kernels of degree $-n$”, Sibirsk. Mat. Zh., 44:6 (2003),  1199–1216  mathnet  mathscinet  zmath; Siberian Math. J., 44:6 (2003), 935–950  isi 9
2002
34. O. G. Avsyankin, “On an application of the projection method to paired integral operators with homogeneous kernels”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 8,  3–7  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 46:8 (2002), 1–5 5
2001
35. O. G. Avsyankin, N. K. Karapetyants, “On the algebra of multidimensional integral operators with homogeneous kernels with variable coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 1,  3–10  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 45:1 (2001), 1–8 9
2025
36. O. G. Avsyankin, V. P. Burskii, V. V. Goryainov, V. P. Zastavnyi, A. Yu. Ivanov, A. A. Kovalevsky, S. V. Konyagin, D. V. Lymanskyi, A. D. Manov, P. A. Masharov, L. L. Oridoroga, I. P. Polovinkin, S. M. Sitnik, È. L. Shishkina, “Valerii Vladimirovich Volchkov (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 80:2(482) (2025),  184–189  mathnet  mathscinet; Russian Math. Surveys, 80:2 (2025), 359–364  isi
2023
37. O. G. Avsyankin, S. N. Askhabov, B. G. Vakulov, V. S. Guliev, I. M. Erusalimskyi, A. N. Karapetyants, G. S. Rostetskaya, A. G. Kusraev, N. G. Samko, S. G. Samko, Kh. G. Umarov, A. F. Chuvenkov, “Salaudin Musaevich Umarkhadzhiev (on the occasion of his 70th birthday)”, Vladikavkaz. Mat. Zh., 25:1 (2023),  141–142  mathnet  mathscinet
2021
38. O. G. Avsyankin, M. I. Karyakin, V. V. Kravchenko, A. G. Kusraev, Z. A. Kusraeva, A. F. Tedeev, “Alexey Nikolaevich Karapetyants (on the occasion of his 50th birthday)”, Vladikavkaz. Mat. Zh., 23:4 (2021),  131–132  mathnet
39. A. V. Abanin, O. G. Avsyankin, V. I. Burenkov, B. G. Vakulov, S. K. Vodopyanov, M. L. Gol'dman, V. S. Guliev, I. M. Erusalimskyi, A. N. Karapetyants, M. I. Karyakin, V. M. Kokilashvili, A. G. Kusraev, E. R. Liflyand, A. V. Pskhu, V. S. Rabinovich, S. V. Rogozin, B. S. Rubin, A. P. Soldatov, I. M. Spitkovsky, V. D. Stepanov, Kh. G. Umarov, S. M. Umarkhadzhiev, “Stefan Grigorievich Samko (on the occasion of his 80th birthday)”, Vladikavkaz. Mat. Zh., 23:3 (2021),  126–129  mathnet
2011
40. O. G. Avsyankin, B. G. Vakulov, I. M. Erusalimskyi, A. N. Karapetyants, M. I. Karyakin, A. G. Kusraev, “Stefan Grigog'evich Samko (on his seventieth birthday)”, Vladikavkaz. Mat. Zh., 13:2 (2011),  67–68  mathnet

Presentations in Math-Net.Ru
1. Some classes of integral operators in Morrey spaces
O. G. Avsyankin
International scientific workshop OTHA Fall 2024 on operator theory and harmonic analysis and their applications
December 16, 2024 16:10   
2. «Интегральные операторы с разностными и однородными ядрами в пространствах Морри»
O. G. Avsyankin
Functional Analysis and applications
March 12, 2024 12:00
3. On algebras generated by integral operators with homogeneous kernels
O. G. Avsyankin
Seminar on Analysis, Differential Equations and Mathematical Physics
February 8, 2024 18:00
4. Two algebras generated by integral operators with homogeneous kernels
O. G. Avsyankin
International scientific workshop OTHA Fall 2023
December 18, 2023 16:05   
5. Boundedness and compactness of integral operators with homogeneous kernels
O. G. Avsyankin
International scientific workshop OTHA Fall 2022
December 20, 2022 15:10   
6. Multidimensional integral operators with bihomogeneous kernels
O. G. Avsyankin
International scientific (offline) workshop OTHA Spring 2022
April 26, 2022 15:25   
7. О многомерных интегральных операторах с биоднородными ядрами
O. G. Avsyankin

August 12, 2021 15:30

Organisations