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ABSTRACT BERGMAN KERNEL EXPANSION AND ITS APPLICATIONS.

Authors :
CHIUNG-JU LIU
ZHIQIN LU
Source :
Transactions of the American Mathematical Society; Feb2016, Vol. 368 Issue 2, p1467-1495, 29p
Publication Year :
2016

Abstract

We give a purely complex geometric proof of the existence of the Bergman kernel expansion. Our method actually provides a sharper estimate, and in the case that the metrics are real analytic, we prove that the remainder decays faster than any polynomial. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029947
Volume :
368
Issue :
2
Database :
Complementary Index
Journal :
Transactions of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
111415890
Full Text :
https://doi.org/10.1090/tran/6621