The Chair of Theory of Functions and Functional Analysis

О кафедре | Сотрудники | Студентам | Аспирантам

Head of the Chair - Professor V.V. Napalkov, Doctor of Physics and Mathematics, Academician, Corresponding Member of the Russian Academy of Sciences
 
The Chair was established in 1972.
 
Main Research Areas
 
The basic field of research is the function theory of one or several complex variables
The main research objectives are:
  1. Exponent series expansion or more common system expansions
  2. Functional equation classes in analytical functional spaces
  3. The Cauchy problem for compression operators and its connection with the Fisher problem in analytical functional spaces
  4. Differential equations in analytical functional spaces
  5. Asymtotic properties of analytical functions in exponent series. Exponent system approximation in complex space series
Teaching Work:
 
The staff members give lectures and have practical classes on the theory of functions of complex variables, functional analysis, generalized functions (for undergraduates) teach special courses on entire functions, the Dirichlet series, function theory of multiple variables, compression equations, automorphic functions etc.
 
The Chair has strong links with the Mathematical Institute of Ufa Centre of Academy of Sciences, the Chair’s graduates have defended more than 60 Candidate and 7 Doctor theses. Our staff together with the scientists from the Mathematical Institute make up the kernel of the scientific school of complex analysis both in Russia and abroad.
 
History
 
Before 1987 the Chair was headed by A.F. Leontev, Corresponding Member of the Russian Academy of Sciences (1917-1987). Since 1987 its Head has been Professor V.V. Napalkov, Doctor of Physics and Mathematics, Corresponding Member of the Russian Academy of Sciences. Professor Leontev is the author of more than 130 studies, including 4 monographs. He has introduced a set of important branches in function theory, such as studying the properties of polynomial series of exponents, analytical functions in exponent series, analytical functions in generalized exponent series, where effective methods of investigation were established. These research approaches are being developed by many mathematicians, including his former students, such as Doctors of Physics and Mathematics G.V. Ulina, Professors V. P. Gromov, Y.N. Frolov, I.F. Krasichkov-Ternovsky, K.K. Murtazin , Y.T. Sultanaev, I.I. Golichev, R.S. Yulmukhamedov, A.B. Sekerin, S.G. Merzlyakov, Associate Professor Komarov.
 
Professor Leontev paid much attention to training prospective staff members selected from gifted students, 35 of his apprentices have defended their theses and 7 of them have got a Doctor’s degree. Professor Leontev was awarded the degree of Honoured Scientific Worker of Bashkortostan, Orders of Labour Red Banner and October Revolution, won a State Prize. The foundation of the Mathematical Institute headed by his former student Professor V.V. Napalkov can be regarded as recognition of his scientific authority.
 
Professor V.V. Napalkov is the Director of the Mathematical Institute, Doctor of Physics and Mathematics, Corresponding Member of the Russian Academy of Sciences. More than 20 of his apprentices have defended their Candidate theses, 7 of them are Doctors of Science. He is the author of more than 100 studies and the founder of a scientific school of complex analysis. He has been awarded the Order “Second Class Patriotic Merit”. He is a member of the Academy of Sciences Bureau of Mathematics.
 
Professor A.M. Gaisin, Doctor of Physics and Mathematics, has been working at the Chair since 1983. He delivers lectures in functional analysis and function theory, has been scientific adviser of 5 Candidate theses, the author of some 60 studies. His research interests lie in the field of complex analysis and theory of entire functions, exponent series, and problems of completeness of analytical functions. He has solved two classical problems proposed by the American mathematician Polya [Polya G. Untersuchungen über Lücken und Singularitäten von Potenzrehen// Meth.Z. 1929. V. 29 p. 549-640]. He has been awarded the Leontev Scientific Prize for his works devoted to the problem of exponent system completeness and asymptotic properties of the Dirichlet series.
 
A.S. Krivosheev, Doctor of Physics and Mathematics, Chief Scientific Associate of the Mathematical Institute of the Academy of Sciences has been working at the Chair since 1995. He has proved the solvability of the inhomogeneous compression equation in the case of multiple variables. He is the main lecturer of the course on Function Theory of Complex Variables.
 
Candidates of Physics and Mathematics, I.S. Galimov and R.A. Bashmakov are experienced lecturers who have worked at the Chair for many years.