Article thumbnail
Location of Repository


By Laurent Bruneau, Jan Dereziński and Vladimir Georgescu


ABSTRACT. The differential expression Lm = − ∂ 2 x + (m2 − 1/4)x −2 defines a self-adjoint operator Hm on L 2 (0, ∞) in a natural way when m 2 ≥ 1. We study the dependence of Hm on the parameter m, show that it has a unique holomorphic extension to the half-plane Re m> −1, and analyze spectral and scattering properties of this family of operators. 1

Year: 2010
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.