Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
18.05.1948
E-mail: Keywords: non-selfadjoint operators; characteristic operator-function; spectral theory of conractions; finite dementional perturbation of Volterra operators; matrix Muckenhoupt weights; Hilbert space of entire functions; functional models of operators; unconditional bases; oneparametric semiqroups of operators.
Subject:
It was obtained the description of unconditional bases from values of kernels,which are generated by Muchenhoupt weights on the special contours. It was investigated the shift operators in new Hilbert spaces of entire functions. The problem of free interpalation with entire function of finite order from special classes have been formulated and solved. It was suggested the method of integral estimates the norms of resolvents of finite dimentional perturbations of Volterra operators for investigation the special structure such operators. It was found an application the analytic functions from unit disk from Jerbashian classes to spectral theory of non-weak contractions. It was given a description of generators of $C_0$-semigroups, inverse to which are finite dimentianal perturbation of Volterra operators.
Main publications:
Gubreev G. M. Jerbachian A. M. Functions of generalized bounded type in spectral theory of non-weak contractions // Journal of Operator Theory, 1991, 26, 155–190.
