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

Mathematics – Complex Variables

Scientific paper

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27 pages

Scientific paper

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.

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