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

Article ID Journal Published Year Pages File Type
4667430 Advances in Mathematics 2008 36 Pages PDF
Abstract

A smooth bounded pseudoconvex domain in C2 is of finite type if and only if the number of eigenvalues of its -Neumann Laplacian that are less than or equal to λ has at most polynomial growth as λ goes to infinity.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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Hearing the type of a domain in C2 with the -Neumann Laplacian
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Advances in Mathematics
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