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The Szego kernel for certain non-pseudoconvex domains in C^2
The Szego kernel certain non-pseudoconvex domains Complex Variables
2011/8/30
Abstract: We consider the Szeg\"o kernel for domains \Omega in C^2 given by \Omega = {(z,w): Im w > b(Re z)} where b is a non-convex quartic polynomial with positive leading coefficient. Such domains ...
The Szego kernel for non-pseudoconvex tube domains in C^2
Szego kernel non-pseudoconvex domains Complex Variables
2011/8/31
Abstract: We consider the Szeg\"o kernel for non-pseudoconvex domains in C^2 given by \Omega = {(z,w): Im w > b(Re z)} for b a non-convex even-degree polynomial with positive leading coefficient. This...
Bottom of spectrum of Kahler manifolds with strongly pseudoconvex boundary
Bottom of spectrum of Kahler manifolds pseudoconvex boundary
2011/1/21
The study of the spectrum of the Laplace operator has been a very active subject in Riemannian geometry. In the compact case, the spectrum consists of eigenvalues.On a noncompact complete Riemannian m...
Global hypoellipticity of the Kohn-Laplacian $\Box_b$ on pseudoconvex CR manifolds
Global hypoellipticity Kohn-Laplacian $\Box_b$ pseudoconvex CR manifolds
2011/3/1
Let X be a complex manifold andM ⊂ X a compact, smooth, pseudoconvex CR manifold of dimension 2n − 1. (Here n ≥ 3 or, in case n = 2, it is made the extra assumption that ¯@b has close...