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Analytic cohomology in a Banach space

Imre Patyi
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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.

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Imre Patyi. 2005-07-25. Analytic cohomology in a Banach space. https://arxiv.org/abs/math/0507520

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