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arxiv: 1006.4167 · v1 · submitted 2010-06-21 · 🧮 math.CV · math.SP

Positivity of the barpartial-Neumann Laplacian

classification 🧮 math.CV math.SP
keywords laplacianneumannpartialpositivityboundedcharacterizeddomainparticular
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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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