- 97-644 Simon B.
- The Classical Moment Problem as a Self-Adjoint
Finite Difference Operator
Dec 22, 97
(auto. generated ps),
of related papers
Abstract. This is a comprehensive exposition of the classical moment
problem using methods from the theory of finite difference
operators. Among the advantages of this approach is that the
Nevanlinna functions appear as elements of a transfer matrix
and convergence of Pad\'e approximants appears as the strong
resolvent convergence of finite matrix approximations to a
Jacobi matrix. As a bonus of this, we obtain new results on the
convergence of certain Pad\'e approximants for series of Hamburger.