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

Siqi Fu

arxiv: math/0508475 · v1 · submitted 2005-08-24 · 🧮 math.CV · math.AP

Hearing the type of a domain in C² with the d-bar-Neumann Laplacian

Siqi Fu This is my paper

classification 🧮 math.CV math.AP

keywords d-bar-neumanndomainlambdalaplaciantypeboundedcomplexeigenvalues

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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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Hearing the type of a domain in C² with the d-bar-Neumann Laplacian

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