Berezin transforms and Laplace–Beltrami operators on homogeneous Siegel domains

Invariant Operators and the Berezin Tran

Invariant Operators and the Berezin Transform on Cartan Domains

✍ Miroslav Engliš 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 651 KB

Let R be an irreducible Cartan domain of rank r and genus p and B, (Y > p -1) be the Berezin transform on R. It is known that as v tends to infinity, the Berezin transform admits the asymptotic expansion B, M C' p,, Q k U k where the Qk'S are certain invariant differential operatorsfor instance, Qo