Original Articles

ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM, II

Published in: Quaestiones Mathematicae
Volume 10 , issue 1 , 1986 , pages: 1–48

DOI: 10.1080/16073606.1986.9631590

Author(s): D.B. Hinton Department of Mathematics, , J.K. Shaw Department of Mathematics Virginia Tech,

Keywords: Titchmarsh-Weyl theory , spectral theory , Titchmarsh-Weyl theory , spectral theory

Abstract

In this paper we connect the pole structure of the Titchmarsh-Weyl m-coefficients with the spectrum of a Hamiltonian system which is singular at each end of an interval. Characterizations are given for the resolvent set, point spectrum, continuous spectrum and point-continuous spectrum. We allow the system to be of either limit point or limit circle type at each end.

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