Avsyankin Oleg Gennadievich, Doctor of Physics and Mathematical Sciences (Habilitation, Second Degree), Head of the Department of Differential and Integral Equations and Chief Researcher of the Regional Mathematical Center of the Southern Federal University (Rostov-on-Don, Russia), turned 55 on May 9, 2024.
Professor Oleg Avsyankin is the author of several textbooks and new educational programs for various levels of
education and has 25 years of experience in scientific and pedagogical work. He has published more than 100
scientific and 15 scholarly works, and he is a member of the Dissertation Council in Mathematics and the Expert
Council “Mathematics, Mechanics and Informatics” (Southern Federal University), co-chairman of the organizing
committee of the well-established international conference “Modern problems and methods of operator theory and
harmonic analysis, and their applications,” a member of the organizing committee of the International Conferences
“Mathematics. Economy. Education,” etc.
On the photo, Professor Avsyankin delivers a plenary lecture at the OTHA-Fall-2022 workshop in Sirius Educational Center.
Professor O.G. Avsyankin has been heading the Department of Differential and Integral Equations since 2012. He has a special gift for finding a common language with all colleagues in the team and building relationships with
department employees on the principles of mutual respect and the most favorable attitude towards department
employees, while simultaneously maintaining strict and high level of requirements for the quality of teaching and
fulfillment of the academic load. Oleg Gennadievich also teaches basic courses, including differential equations and probability theory, which are in great demand among students and are successfully accepted by them thanks to the exceptional teaching talent of Professor Oleg Avsyankin.
The area of scientific interests of Professor O.G. Avsyankin includes but is not limited to the following areas of mathematics: multidimensional integral operators with homogeneous and bihomogeneous kernels, operators of convolution type, Banach algebras, projection methods for solving operator equations, spectral theory of operators, integral operators with periodic kernels, and Morrey-type spaces. He obtained a number of fundamental results, and some are listed below: a complete study of multidimensional integral operators whose kernels are homogeneous of degree (−n) and invariant under all rotations, including criteria for the invertibility and Noetherian nature of these operators; he described the Banach algebras generated by such operators and established criteria for applicability of projection methods to operators with homogeneous kernels, and also studied the limiting behavior of the spectral characteristics of truncated operators. Also, the C*-algebra generated by multidimensional integral operators with bihomogeneous kernels was studied, and a criterion for the applicability of the projection method was obtained. Necessary and sufficient conditions for invertibility and Noetherian property for integral operators with homogeneous-difference kernels are obtained. A complete study of multidimensional integral operators with homogeneous kernels perturbed by multiplicative shift operators is carried out. The compactness of integral operators of convolution type with variable coefficients in Morrey spaces is studied.
Professor Oleg Avsyankin continues to expand the range of applicability of his knowledge, exploring operators in new function spaces, developing the technique of operator algebras with homogeneous kernels in the widest formulation, and also paying special attention to the education and training of undergraduate and graduate students within the framework of classical topics, harmoniously combining this with the use of modern methods and approaches.
Professor O.G. Avsyankin has joined the Regional Mathematical Center since its founding and is one of the leading scientists, heading an important scientific direction within the framework of the Center’s Development Program.
Oleg Avsyankin has taken on a very important role in our scientific activity: conferences, publications, and journal developments, and he is very well known to many leading scientists around the world. On behalf of colleagues and friends of Oleg Avsyankin, let us wish Professor Avsyankin further creative achievements in scientific and educational activities, prosperity, good health, and long, happy years of life!
The editorial letter in the Journal of Mathematical Sciences can be downloaded here:
https://msrn-files.sfedu.ru/editorial/letters/editorial_avsyankin.pdf
