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Positivity of the \( \bar \partial \)-Neumann Laplacian

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Complex Analysis

Part of the book series: Trends in Mathematics ((TM))

Abstract

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.

The author was supported in part by NSF grant DMS-0805852.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Rutgers University-Camden, Camden, NJ, 08102, USA

    Siqi Fu

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  1. Siqi Fu
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Dedicated to Professor Linda Rothschild

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Fu, S. (2010). Positivity of the \( \bar \partial \)-Neumann Laplacian. In: Complex Analysis. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0009-5_8

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