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Berezin Transform, Mellin Transform and Toeplitz Operators

✍ Scribed by Željko Čučković; Bo Li

Book ID
107508754
Publisher
SP Birkhäuser Verlag Basel
Year
2010
Tongue
English
Weight
332 KB
Volume
6
Category
Article
ISSN
1661-8254

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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