The analytic singularities of the Bergman kernels on strongly pseudoconvex domains |
Posted on:2004-07-30 | Degree:Ph.D | Type:Dissertation |
University:Columbia University | Candidate:Lee, Hanjin | Full Text:PDF |
GTID:1460390011473130 | Subject:Mathematics |
Abstract/Summary: | |
We set the formula of expressing the singularities of the Bergman kernels in terms of those of the Szego kernels on bounded strongly pseudoconvex domains with smooth boundaries with respect to standard Euclidean volume form and its induced surface element. We express explicitly the pole type singularities of the Bergman kernels in terms of those of the Szego kernels for the dimension 2 case. |
Keywords/Search Tags: | Bergman kernels, Singularities, Strongly pseudoconvex domains |
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