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26 April 2024 |
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Analytic cohomology in a Banach space | | Imre Patyi
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26 Jul 2005 | | Subject: | Complex Variables MSC-class: 32L10 | math.CV | | Abstract: | Among other things, we show that the ideal sheaf of a complex Hilbert submanifold of a pseudoconvex open subset of Hilbert space is acyclic over the ambient pseudoconvex open set. We also prove a vanishing theorem for a fairly general class of analytic sheaves over pseudoconvex open sets of a large class of Banach spaces. Some applications are also given. | | Source: | arXiv, math.CV/0507520 | | Services: | Forum | Review | PDF | Favorites | |
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