Cohomology with bounds and Carleman estimates for the -operator on Stein manifolds.
Darko, Patrick W. (2002)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “The union problem on complex manifolds.”
Cohomology with bounds and Carleman estimates for the -operator on Stein manifolds.
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By an open neighbourhood in ℂⁿ of an open subset Ω of ℝⁿ we mean an open subset Ω' of ℂⁿ such that ℝⁿ ∩ Ω' = Ω. A well known result of H. Grauert implies that any open subset of ℝⁿ admits a fundamental system of Stein open neighbourhoods in ℂⁿ. Another way to state this property is to say that each open subset of ℝⁿ is Stein. We shall prove a similar result in the subanalytic category: every subanalytic open subset in a paracompact real analytic manifold M admits a fundamental system...
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