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Showing 2008 · math.CVShow all
4 papers · 2 filters
math.CV2008
Homomorphisms of infinitely generated analytic sheaves
Vakhid Masagutov
We prove that every homomorphism , with and Banach spaces and , is induced by a -valued hol…
math.CV2008
On the cohomology groups of holomorphic Banach bundles
Laszlo Lempert
We consider a compact complex manifold , and introduce the notion of two holomorphic Banach bundles over being compact perturbations of one another. Given two such bun…
math.CV2008
A splitting theorem for holomorphic Banach bundles
Jaehong Kim
This paper is motivated by Grothendieck's splitting theorem. In the 1960s, Gohberg generalized this to a class of Banach bundles. We consider a compact complex manifold and a h…
math.CV2008
A Riemann mapping theorem for two-connected domains in the plane
Steven R. Bell, Ersin Deger, Thomas Tegtmeyer
We show how to express a conformal map of a general two connected domain in the plane such that neither boundary component is a point to a representative domain which has the virtu…