Hearing pseudoconvexity with the Kohn Laplacian

2004/03/22 by Siqi Fu, Fu, Siqi
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analytic and geometric function theory #Geometric and Algebraic Topology #math.CV #math.SP #msc:32W10

paper · pdf · doi:10.48550/arxiv.math/0403362

8 pages

arxiv created 2004/03/22 · arxiv updated 2009/12/01

Abstract

A bounded domain in several complex variables with connected Lipschitz boundary is pseudoconvex if and only if the bottom of the (essential) spectrum of the Kohn Laplacian is positive on all (0, q)-forms with square-integrable coefficients.

Citations

• Can One Hear the Shape of a Drum?

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