Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Phone: +7 (863) 297 51 16
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

Publications in Math-Net.Ru

Presentations in Math-Net.Ru

Personal pages:

• 
• 
• 

Organisations:

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