Toeplitz quantization and asymptotic expansions : Peter Weyl decomposition

0351125 - MÚ 2011 RIV CH eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA201/09/0473
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: bounded symmetric domain * real symmetric domain * star product * Toeplitz operator * Peter-Weyl decomposition
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.521, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0190945