Hearing pseudoconvexity with the Kohn Laplacian

Details Hearing pseudoconvexity with the Kohn Laplacian Hearing pseudoconvexity with the Kohn Laplacian

2004-03-22

arxiv.org/abs/math/0403362v1

Mathematics

Complex Variables

8 pages

Scientific paper

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.

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