Sch'nol's Theorem For Strongly Local Forms

Abstract

We prove a variant of Sch'nol's theorem in a general setting: for generators of strongly local Dirichlet forms perturbed by measures. As an application, we discuss quantum graphs with $\delta$- or Kirchhoff boundary conditions.

18 pages

References in corpus (2)

• Absolutely Continuous Spectra of Quantum Tree Graphs with Weak Disorder
• Eigenfunction expansion for Schrodinger operators on metric graphs