Hearing pseudoconvexity with the Kohn Laplacian
Complex Variables
2007-05-23 v1 Spectral Theory
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.
Cite
@article{arxiv.math/0403362,
title = {Hearing pseudoconvexity with the Kohn Laplacian},
author = {Siqi Fu},
journal= {arXiv preprint arXiv:math/0403362},
year = {2007}
}
Comments
8 pages