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Science in China Series A Mathematics
Article . 2005 . Peer-reviewed
License: Springer TDM
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Article . 2005
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2004
License: arXiv Non-Exclusive Distribution
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Weighted Bergman kernels and virtual Bergman kernels

Authors: Roos, Guy;

Weighted Bergman kernels and virtual Bergman kernels

Abstract

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

Keywords

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

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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).
BIP!Citations provided by BIP!
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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Average
Top 10%
Average
Green
bronze