Weighted Bergman kernels and virtual Bergman kernels

Mathematics – Complex Variables

Scientific paper

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12 pages. One-hour lecture for graduate students, SCV 2004, August 2004, Beijing, P.R. China. V2: typo corrected

Scientific paper

We introduce the notion of "virtual Bergman kernel" and apply it to the
computation of the Bergman kernel of "domains inflated by Hermitian balls", in
particular when the base domain is a bounded symmetric domain.

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