Sch'nol's Theorem For Strongly Local Forms

Details Sch'nol's Theorem For Strongly Local Forms Sch'nol's Theorem For Strongly Local Forms

2007-08-10

arxiv.org/abs/0708.1501v1

Mathematics

Spectral Theory

18 pages

Scientific paper

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.

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