Persons: Avsyankin, Oleg Gennadievich

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Avsyankin, Oleg Gennadievich

Statistics Math-Net.Ru
Total publications:	37
Scientific articles:	33
Presentations:	6

Number of views:
This page:	3117
Abstract pages:	10712
Full texts:	3356
References:	1725

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:

Avsyankin O.G., Karapetyants N.K., “Mnogomernye integralnye operatory s odnorodnymi stepeni $n$ yadrami”, Doklady RAN, 368:6 (1999), 727–729
Avsyankin O.G., “Ob algebre parnykh integralnykh operatorov s odnorodnymi yadrami”, Matem. zametki, 73:4 (2003), 483–493
Avsyankin O.G., “O $C^*$-algebre, porozhdennoi mnogomernymi integralnymi operatorami s odnorodnymi yadrami i operatorami multiplikativnogo sdviga”, Doklady RAN, 419:6 (2008), 727–728
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

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/615115

https://orcid.org/0000-0001-9091-417X

	Publications in Math-Net.Ru	Citations
	2024
1.	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 ; Math. Notes, 116:3 (2024), 397–407
	2023
2.	O. G. Avsyankin, “Projection method for a class of integral operators with bihomogeneous kernels”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 3, 3–11	1
3.	O. G. Avsyankin, “On Integral Operators with Homogeneous Kernels in Weighted Lebesgue Spaces on the Heisenberg Group”, Mat. Zametki, 114:1 (2023), 144–148 ; Math. Notes, 114:1 (2023), 117–121	3
	2022
4.	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 ; Sib. Math. J., 64:4 (2023), 955–962	2
	2021
5.	O. G. Avsyankin, “On integral operators with homogeneous kernels in Morrey spaces”, Eurasian Math. J., 12:1 (2021), 92–96	2
6.	O. G. Avsyankin, “On integral operators with homogeneous kernels and trigonometric coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 4, 3–10 ; Russian Math. (Iz. VUZ), 65:4 (2021), 1–7	5
	2020
7.	O. G. Avsyankin, “Integral operators with periodic kernels in spaces of integrable functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 2, 3–9 ; Russian Math. (Iz. VUZ), 64:2 (2020), 1–7
8.	O. G. Avsyankin, “Invertibility of Multidimensional Integral Operators with Bihomogeneous Kernels”, Mat. Zametki, 108:2 (2020), 291–295 ; Math. Notes, 108:2 (2020), 277–281	10
	2019
9.	O. G. Avsyankin, “On invertibility of convolution type operators in Morrey spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 6, 3–10 ; Russian Math. (Iz. VUZ), 63:6 (2019), 1–7	1
	2018
10.	O. G. Avsyankin, “Compactness of Some Operators of Convolution Type in Generalized Morrey Spaces”, Mat. Zametki, 104:3 (2018), 336–344 ; Math. Notes, 104:3 (2018), 331–338	4
11.	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
	2017
12.	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 ; Russian Math. (Iz. VUZ), 61:11 (2017), 1–9	5
13.	O. G. Avsyankin, “On the Compactness of Convolution-Type Operators in Morrey Spaces”, Mat. Zametki, 102:4 (2017), 483–489 ; Math. Notes, 102:4 (2017), 437–443	2
	2016
14.	O. G. Avsyankin, “$C^*$-Algebra of Integral Operators with Homogeneous Kernels and Oscillating Coefficients”, Mat. Zametki, 99:3 (2016), 323–332 ; Math. Notes, 99:3 (2016), 345–353	7
15.	O. G. Avsyankin, “Paired integral operators with homogeneous-difference kernels”, Vladikavkaz. Mat. Zh., 18:2 (2016), 3–11
	2015
16.	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 ; Russian Math. (Iz. VUZ), 59:2 (2015), 7–13	7
	2014
17.	O. G. Avsyankin, “On an Algebra of Multidimensional Integral Operators with Homogeneous-Difference Kernels”, Mat. Zametki, 95:2 (2014), 163–169 ; Math. Notes, 95:2 (2014), 143–148	2
18.	O. G. Avsyankin, “On the $C^*$-algebra generated by multiplicative discrete convolution operators with oscillating coefficients”, Sibirsk. Mat. Zh., 55:6 (2014), 1199–1207 ; Siberian Math. J., 55:6 (2014), 977–983	2
	2013
19.	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 ; Russian Math. (Iz. VUZ), 57:11 (2013), 57–60	10
20.	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	3
	2011
21.	O. G. Avsyankin, “An algebra generated by multiplicative discrete convolution operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1, 3–9 ; Russian Math. (Iz. VUZ), 55:1 (2011), 1–6	2
	2008
22.	O. G. Avsyankin, “The spectra and singular values of multidimensional integral operators with bihomogeneous kernels”, Sibirsk. Mat. Zh., 49:3 (2008), 490–496 ; Siberian Math. J., 49:3 (2008), 389–394	2
	2007
23.	O. G. Avsyankin, “Multidimensional integral operators with kernels of mixed homogeneity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 8, 66–69 ; Russian Math. (Iz. VUZ), 51:8 (2007), 63–66
24.	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 ; Math. Notes, 82:2 (2007), 141–152	7
	2006
25.	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 ; Russian Math. (Iz. VUZ), 50:11 (2006), 1–8	2
26.	O. G. Avsyankin, “Multidimensional integral operators with bihomogeneous kernels: A projection method and pseudospectra”, Sibirsk. Mat. Zh., 47:3 (2006), 501–513 ; Siberian Math. J., 47:3 (2006), 410–421	4
27.	O. G. Avsyankin, “The projection method for matrix multidimensional dual integral operators with homogeneous kernels”, Vladikavkaz. Mat. Zh., 8:1 (2006), 3–10	1
	2005
28.	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 ; Russian Math. (Iz. VUZ), 2005, no. 3, 1–10	8
	2004
29.	O. G. Avsyankin, N. K. Karapetyants, “Projection Method in the Theory of Integral Operators with Homogeneous Kernels”, Mat. Zametki, 75:2 (2004), 163–172 ; Math. Notes, 75:2 (2004), 149–157	13
	2003
30.	O. G. Avsyankin, “On the Algebra of Pair Integral Operators with Homogeneous Kernels”, Mat. Zametki, 73:4 (2003), 483–493 ; Math. Notes, 73:4 (2003), 457–466	17
31.	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 ; Siberian Math. J., 44:6 (2003), 935–950	9
	2002
32.	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 ; Russian Math. (Iz. VUZ), 46:8 (2002), 1–5	5
	2001
33.	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 ; Russian Math. (Iz. VUZ), 45:1 (2001), 1–8	9

	2023
34.	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
	2021
35.	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
36.	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
	2011
37.	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

Presentations in Math-Net.Ru

1.	«Интегральные операторы с разностными и однородными ядрами в пространствах Морри». O. G. Avsyankin Functional Analysis and applications March 12, 2024 12:00
2.	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
3.	Two algebras generated by integral operators with homogeneous kernels O. G. Avsyankin International scientific workshop OTHA Fall 2023 December 18, 2023 16:05
4.	Boundedness and compactness of integral operators with homogeneous kernels O. G. Avsyankin International scientific workshop OTHA Fall 2022 December 20, 2022 15:10
5.	Multidimensional integral operators with bihomogeneous kernels O. G. Avsyankin International scientific (offline) workshop OTHA Spring 2022 April 26, 2022 15:25
6.	О многомерных интегральных операторах с биоднородными ядрами O. G. Avsyankin August 12, 2021 15:30

Organisations

Institute of Mathematics, Mechanics and Computer Sciences, Southern Federal University, Rostov-on-Don

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