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math.CV2005
Spectrum of the d-bar-Neumann Laplacian on polydiscs
Siqi Fu
The spectrum of the d-bar-Neumann Laplacian on a polydisc in several complex variables is explicitly computed. The calculation exhibits that the spectrum consists of eigenvalues, s…
math.CV2005
Hearing the type of a domain in C^2 with the d-bar-Neumann Laplacian
Siqi Fu
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…