Positivity of the $\bar\partial$ -Neumann Laplacian

preprint2010arXivOpen access

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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Positivity of the $\bar\partial$ -Neumann Laplacian

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Positivity of the ∂ˉ\bar\partial∂ˉ-Neumann Laplacian

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Positivity of the $\bar\partial$ -Neumann Laplacian