%0 Unpublished work %T Dixmier trace and the Fock space %+ Laboratoire d'Analyse, Topologie, Probabilités (LATP) %+ Mathematics institue, Prague %A Bommier-Hato, Helene %A Englis, Miroslav %A Youssfi, El-Hassan %Z 23 pages, no figures %8 2011-07-16 %D 2011 %Z 1107.3254 %K Dixmier trace %K Fock space %K Toeplitz operators %Z Mathematics [math]/Functional Analysis [math.FA] %Z Mathematics [math]/Complex Variables [math.CV]Preprints, Working Papers, ... %X 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. At the same time, analogous results for the Weyl pseudodifferential operators are also obtained. %G English %L hal-00816129 %U https://hal.science/hal-00816129 %~ LATP %~ CNRS %~ UNIV-AMU %~ I2M