
arXiv: math/0410109
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.
12 pages. One-hour lecture for graduate students, SCV 2004, August 2004, Beijing, P.R. China. V2: typo corrected
weight function, Mathematics - Complex Variables, 32A25; 32M15, Integral representations; canonical kernels (Szegő, Bergman, etc.), FOS: Mathematics, 32A25, virtual Bergman kernel, Complex Variables (math.CV), Bergman kernel, 32M15
weight function, Mathematics - Complex Variables, 32A25; 32M15, Integral representations; canonical kernels (Szegő, Bergman, etc.), FOS: Mathematics, 32A25, virtual Bergman kernel, Complex Variables (math.CV), Bergman kernel, 32M15
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 16 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
