Toeplitz quantization and asymptotic expansions : Peter Weyl decomposition

0351125 - MÚ 2011 RIV CH eng J - Journal Article
Engliš, Miroslav - Upmeier, H.
Toeplitz quantization and asymptotic expansions : Peter Weyl decomposition.
Integral Equations and Operator Theory. Roč. 68, č. 3 (2010), s. 427-449. ISSN 0378-620X. E-ISSN 1420-8989
R&D Projects: GA ČR GA201/09/0473
Institutional research plan: CEZ:AV0Z10190503
Keywords : bounded symmetric domain * real symmetric domain * star product * Toeplitz operator * Peter-Weyl decomposition
Subject RIV: BA - General Mathematics
Impact factor: 0.521, year: 2010
http://link.springer.com/article/10.1007%2Fs00020-010-1808-5

We obtain the Peter–Weyl decomposition of the star product and star restriction associated to the Toeplitz calculus on complex and real symmetric domains, respectively, under the action of the maximal compact subgroup. Both the Berezin and the Berezin–Toeplitz cases are covered.
Permanent Link: http://hdl.handle.net/11104/0190945