Sch'nol's Theorem For Strongly Local Forms

2007/08/10 by Anne Boutet de Monvel, Daniel Lenz, de Monvel, Anne Boutet +3 · 1 citation
Computer Science · Mathematics · #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math.AP #math.SP

paper · pdf · doi:10.48550/arxiv.0708.1501

18 pages

arxiv created 2007/08/10 · arxiv updated 2009/12/01

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 δ- or Kirchhoff boundary conditions.

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• Localization on Quantum Graphs with Random Edge Lengths

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