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arxiv: math/0302237 · v2 · submitted 2003-02-19 · 🧮 math.CV

Solution of the dbar-Neumann problem on a bi-disc

classification 🧮 math.CV
keywords bi-discdbar-neumannproblemsolutionarctangentarisebehaviorboundary
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In this paper we study the behavior of the solution to the dbar-Neumann problem for (0,1)-forms on a bi-disc in C^2. We show singularities which arise at the distinguished boundary are of logarithmic and arctangent type.

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