The talk Vorobyev’s Method of Moments in Applied Mathematics - Part I (Self-adjoint Operators), by Jan Papež, will be held on Monday May 4, 2015 at 8:30 in room K4.
The talk is the first in series of three lectures devoted to Yu. V. Vorobyev's monograph Method of Moments in Applied Mathematics. The thorough monograph published in 1958 (translated to English in 1965) was build on the deep knowledge of the previous results and still might stimulate new developments for the future.
We introduce the general problem of moments in Hilbert space and show that the method of moments allows to approximate solutions of problems with linear bounded operators. Then we restrict ourselves to the class of self-adjoint operators for which we discuss various context of the method of moments.