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Approximation and the n -Berezin transform of operators on the Bergman space

✍ Scribed by Suárez, Daniel

Book ID
121843732
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2005
Tongue
English
Weight
192 KB
Volume
2005
Category
Article
ISSN
0075-4102

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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