Linchuk Yu. S.
On the equivalence of some perturbations of the operator of multiplication by the independent variable
Ukr. Mat. Zh. - 2016. - 68, № 11. - pp. 1579-1584
We study the conditions of equivalence of two operators obtained as perturbations of the operator of multiplication by the independent variable by certain Volterra operators in the space of functions analytic in an arbitrary domain of the complex plane starlike with respect to the origin.
Ukr. Mat. Zh. - 2011. - 63, № 12. - pp. 1710-1716
We describe all pairs of linear continuous operators that act in spaces of functions analytic in domains and satisfy a relation that is an operator analog of the Rubel equation.
Ukr. Mat. Zh. - 2007. - 59, № 6. - pp. 859–864
Commutants of some classes of operators associated with shift operators are described in the space of entire functions.
Ukr. Mat. Zh. - 2007. - 59, № 1. - pp. 136–139
We describe solutions of an integro-differential operator equation in the class of linear continuous operators acting in spaces of functions analytic in domains.