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Dixmier trace and the Fock space |
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| Authors: | Hélène Bommier-Hato Miroslav Engliš El-Hassan Youssfi |
| Institution: | 1. Aix-Marseille Université, CNRS, Centrale Marseille, LATP, UMR 7353, 39 Rue F-Joliot-Curie, 13453 Marseille Cedex 13, France;2. Mathematics Institute, ?itná 25, 11567 Prague 1, Czech Republic;3. Mathematics Institute, Silesian University at Opava, Na Rybní?ku 1, 74601 Opava, Czech Republic |
| Abstract: | We give criteria for products of Toeplitz and Hankel operators on the Fock (Segal–Bargmann) space to belong to the Dixmier class, and compute their Dixmier trace. Along the road, analogous results for the Weyl pseudodifferential operators are also obtained. |
| Keywords: | primary 47B35 secondary 47G30 47B10 30H20 |
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