Title of article :
THE NEVANLINNA-TYPE PARAMETRIZATION FOR THE OPERATOR HAMBURGER MOMENT PROBLEM
Author/Authors :
ZAGORODNYUK ، SERGEY M. - V.N. Karazin Kharkiv National University
Abstract :
In this paper we obtain a Nevanlinna-type parametrization for the operator Hamburger moment problem. The moment problem is not supposed to be necessarily completely indeterminate. No assumptions besides the solvability of the moment problem are posed. An appropriate L2(H, dF(t))-type space is defined and used.
Keywords :
Moment problem , operator , valued function , symmetric operator
Journal title :
Journal of Advanced Mathematical Studies
Journal title :
Journal of Advanced Mathematical Studies