453 citations
- Centre National de la Recherche ScientifiqueFR9 papers
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- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR8 papers
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Showing math.CVShow all
3 papers · 1 filter
math.CV2009
On the annihilator of a Dolbeault group
Imre Patyi
We show that any Dolbeault cohomology group , , , of an open subset of a closed finite codimensional complex Hilbert submanifold of is either…
math.CV2009★ 1 cited
On holomorphic domination, I
Imre Patyi
Let be a separable Banach space and locally upper bounded. We show that there are a Banach space and a holomorphic function with $u(x)<\|h(…
math.CV2005
On holomorphic Banach vector bundles over Banach spaces
Imre Patyi
We show, e.g., that a holomorphic Banach vector bundle over a pseudoconvex open subset of, say, Hilbert space is holomorphically trivial if it is continuously trivial. Some applica…