Mathematics – Complex Variables
Scientific paper
2010-06-21
Mathematics
Complex Variables
Appeared in Complex Analysis: Several complex variables and connections with PDEs and geometry (Fribourg 2008), Trends in Math
Scientific paper
We study the $\bar\partial$-Neumann Laplacian from spectral theoretic
perspectives. In particular, we show how pseudoconvexity of a bounded domain is
characterized by positivity of the $\bar\partial$-Neumann Laplacian.
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