Rigidity of the Hamburger and Stieltjes moment sequences
Abstract:
This paper aims at finding conditions on a Hamburger or Stieltjes moment sequence, under which the change of at most a finite number of its entries produces another sequence of the same type. It turns out that a moment sequence allows all small enough variations of this kind precisely when it is indeterminate. We also show that a determinate moment sequence has the finite index of determinacy if and only if the corresponding finite number of its entries can be changed in a certain way.
Keywords:
moment problems, index of determinacy
Publication language:russian, pages:31
Research direction:
Mathematical modelling in actual problems of science and technics
