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

Siqi Fu
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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 $λ$ has at most polynomial growth as $λ$ goes to infinity.

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Siqi Fu. 2005-08-24. Hearing the type of a domain in C^2 with the d-bar-Neumann Laplacian. https://arxiv.org/abs/math/0508475

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