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Calculus on a manifold with edge and boundary - MaRDI portal

Calculus on a manifold with edge and boundary (Q2007933)

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scientific article; zbMATH DE number 7135364
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Calculus on a manifold with edge and boundary
scientific article; zbMATH DE number 7135364

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    Calculus on a manifold with edge and boundary (English)
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    22 November 2019
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    The paper aims to establish a calculus of (pseudo-)differential operators on manifolds with edge singularities and boundary. There are numerous non-equivalent configurations with different choices of metrics. In this paper, cases with incomplete metrics are considered. For this purpose, compositions within the structure are studied via a new Mellin-edge quantization, which is also compared with a more traditional technique.
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    pseudo-differential operators
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    manifold with edge
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    Boutet de Monvel's algebra
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    Mellin quantization
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