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Global regularity and spectra of Laplace-Beltrami operators on pseudoconvex domains - MaRDI portal

Global regularity and spectra of Laplace-Beltrami operators on pseudoconvex domains (Q760551)

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scientific article; zbMATH DE number 3884479
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Global regularity and spectra of Laplace-Beltrami operators on pseudoconvex domains
scientific article; zbMATH DE number 3884479

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    Global regularity and spectra of Laplace-Beltrami operators on pseudoconvex domains (English)
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    1983
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    An extensive study of the global boundary regularity and the behaviour of spectra of the Laplace-Beltrami operators on pseudoconvex domains is given. The general results obtained are then applied to the cohomology theory of weakly one-complete manifolds by showing an upper semi- continuity theorem for the dimension of cohomology groups on a family of weakly one-complete manifolds.
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    spectra of the Laplace-Beltrami operators on pseudoconvex domains
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    cohomology theory of weakly one-complete manifolds
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