Real Berezin transforms and asymptotic expansion for symmetric spaces of compact and non-compact type

0386415 - MÚ 2013 RIV CH eng C - Conference Paper (international conference)
Engliš, Miroslav - Upmeier, H.
Real Berezin transforms and asymptotic expansion for symmetric spaces of compact and non-compact type.
Recent Progress in Operator Theory and Its Applications. Basel: Birkhäuser/Springer, 2012 - (Ball, J.; Curto, R.; Grudsky, S.), s. 97-114. Operator Theory: Advances and Applications, vol. 220. ISBN 978-3-0348-0345-8.
[20th International Workshop on Operator Theory and Applications (IWOTA 2009). Guanajuato (MX), 21.09.2009-25.09.2009]
R&D Projects: GA ČR GA201/09/0473
Institutional research plan: CEZ:AV0Z10190503
Keywords : symmetric domain * symmetric space of compact type * Berezin transform
Subject RIV: BA - General Mathematics
http://link.springer.com/chapter/10.1007%2F978-3-0348-0346-5_6

We obtain formulas for the asymptotic expansion of the Berezin transform on symmetric spaces in terms of invariant differential operators associated with the Peter-Weyl decomposition under the maximal compact subgroup. A unified treatment makes it possible to derive the formulas for the complex (hermitian) as well as for the real case, and for all types of symmetric spaces (non-compact, compact and flat).
Permanent Link: http://hdl.handle.net/11104/0219393