On the decomposition principle and a Persson type theorem for general regular Dirichlet forms (Q2335839)
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| Language | Label | Description | Also known as |
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| English | On the decomposition principle and a Persson type theorem for general regular Dirichlet forms |
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On the decomposition principle and a Persson type theorem for general regular Dirichlet forms (English)
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15 November 2019
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In the paper, a decomposition principle and a Persson type theorem valid for all regular Dirichlet forms satisfying a spatial local compactness condition are presented. It is shown, that this condition is valid in a variety of situations, which include the already known case of Laplace-Beltrami operators on manifolds. Moreover, they also include rather general graphs as well as \(\alpha\)-stable processes in Euclidean space.
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essential spectrum
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Persson theorem
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Dirichlet form
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Laplacian
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spectral geometry
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Markov processes
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