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arxiv: 0708.1501 · v1 · submitted 2007-08-10 · 🧮 math.SP · math.AP

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Sch'nol's Theorem For Strongly Local Forms

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keywords formslocalstronglytheoremapplicationboundaryconditionsdelta
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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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