3 papers
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…
math.CV2004
Hearing pseudoconvexity with the Kohn Laplacian
Siqi Fu
A bounded domain in several complex variables with connected Lipschitz boundary is pseudoconvex if and only if the bottom of the (essential) spectrum of the Kohn Laplacian is posit…