联系我们
Isaac Scientific Publishing
Advances in Analysis
Volodymyr Riazanov,  National Academy of Sciences, Ukraine
Head of Department of Function Theory
Institute of Applied Mathematics and Mechanics
National Academy of Sciences of Ukraine
1 Dobrovolskogo Str., 84100, Slavyansk
UKRAINE
Research Interets
• The main research interests in mathematics are grouped around the topological function theory and related topics in geometry, topology and the theory of partial differential equations.
• The first results have been connected with the convergence and compactness theory and its applications to the study of the local behavior of quasiconformal mappings and their various generalizations in the plane. By the tools, the investigations have been closely connected with the measure theory and topology.
• Later on, the research interests have been removed to the theory of space quasiregular mappings and then to more general discrete and open mappings on manifolds. In this connection, some investigations have been related to algebraic topology of manifolds, suspensions of generalized spheres, generalized homotopy spaces and topological factors of Euclidean spaces.
• Moreover, some investigations are related to general metric spaces with measures. • Simultaneously, the research interest to the topological function theory in space as well as in the plane is kept and, in particular, related to some applications of the theory of the spaces BMO (bounded mean oscillation), VMO (vanishing mean oscillation) and FMO (finite mean oscillation).
• The main research interest in physics is related to the gravitation theory.
Copyright © 2020 Isaac Scientific Publishing Co. All rights reserved.