Hearing the type of a domain in C^2 with the d-bar-Neumann Laplacian

Siqi Fu

Hearing the type of a domain in C^2 with the d-bar-Neumann Laplacian

Complex Variables 2007-05-23 v1 Analysis of PDEs

Authors: Siqi Fu

Abstract

A smooth bounded pseudoconvex domain in two complex variables is of finite type if and only if the number of eigenvalues of the d-bar-Neumann Laplacian that are less than or equal to $\lambda$ has at most polynomial growth as $\lambda$ goes to infinity.

Keywords

pseudoconvex domain finite type d-bar-neumann laplacian eigenvalues polynomial growth several complex variables

Cite

@article{arxiv.math/0508475,
  title  = {Hearing the type of a domain in C^2 with the d-bar-Neumann Laplacian},
  author = {Siqi Fu},
  journal= {arXiv preprint arXiv:math/0508475},
  year   = {2007}
}

Comments

27 pages

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