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math.CV2005★ 3 cited
Analytic sheaves in Banach spaces
Laszlo Lempert
We introduce a class of analytic sheaves in a Banach space X, that we call cohesive sheaves. Cohesion is meant to generalize the notion of coherence from finite dimensional analysi…
math.CV1998
The Dolbeault complex in infinite dimensions. II
Laszlo Lempert
We prove that the equation d-bar u = f can be solved on a ball B(R) of radius R in the Banach space l^1 if f is a closed Lipschitz continuous (0,1) form on B(R). We also present ex…