**
Journal of Lie Theory, Vol. 10, No. 1, pp. 111-126 (2000)
**

#
Berezin transform on line bundles over bounded symmetric domains

##
Genkai Zhang

Department of Mathematics

University of Karlstad

S-651 88 Karlstad

Sweden

genkai.zhang@kau.se

**Abstract:** Let $D=G/K$ be a bounded symmetric domain. We consider the Berezin transform on line bundles over $D$. We find the symbol of the Berezin transform as a function of the $G$-invariant differential operators on the line bundles. We further calculate the symbol of the Berezin transform on the compact dual of $D$.

**Full text of the article:**

[Previous Article] [Next Article] [Contents of this Number]

*
© 2000--2001 ELibM for
the EMIS Electronic Edition
*