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 $D$.

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