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arxiv: 0909.1107 · v1 · submitted 2009-09-06 · 🧮 math.SP · math-ph· math.MP

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Generalized eigenfunctions and spectral theory for strongly local Dirichlet forms

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keywords dirichleteigenfunctionsformsframeworkgeneralizedlocalspectralstrongly
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We present an introduction to the framework of strongly local Dirichlet forms and discuss connections between the existence of certain generalized eigenfunctions and spectral properties within this framework. The range of applications is illustrated by a list of examples.

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