caa a22 4500 445835516 CHVBK 20180317145329.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00209-010-0702-9 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0702-9 Toeplitz quantization and asymptotic expansions for real bounded symmetric domains [Elektronische Daten] [Miroslav Engliš, Harald Upmeier] An analogue of the star product, familiar from deformation quantization, is studied in the setting of real bounded symmetric domains. The analogue turns out to be a certain invariant operator, which one might call star restriction, from functions on the hermitification of the domain into functions on the domain itself. In particular, we establish the usual (i.e. semiclassical) asymptotic expansion of this star restriction, and further obtain a real- variable analogue of a theorem of Arazy and Ørsted concerning the analogous expansion for the Berezin transform. Springer-Verlag, 2010 Bounded symmetric domain nationallicence Toeplitz operator nationallicence Star product nationallicence Covariant quantization nationallicence Engliš Miroslav Mathematics Institute, Silesian University at Opava, Na Rybníčku 1, 74601, Opava, Czech Republic aut Upmeier Harald Fachbereich Mathematik, Universität Marburg, 35032, Marburg, Germany aut Mathematische Zeitschrift Springer-Verlag 268/3-4(2011-08-01), 931-967 0025-5874 268:3-4<931 2011 268 209 https://doi.org/10.1007/s00209-010-0702-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0702-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Engliš Miroslav Mathematics Institute, Silesian University at Opava, Na Rybníčku 1, 74601, Opava, Czech Republic aut NATIONALLICENCE 700 1- Upmeier Harald Fachbereich Mathematik, Universität Marburg, 35032, Marburg, Germany aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 268/3-4(2011-08-01), 931-967 0025-5874 268:3-4<931 2011 268 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer