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

Siqi Fu · Birkhäuser Basel eBooks · 2010

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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