arXiv math/05084752005-08-24math.CVmath.AP

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

Siqi Fu

备注：: 27 pages

英文摘要：

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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