Dixmier trace and the Fock space

Details Dixmier trace and the Fock space Dixmier trace and the Fock space

2011-07-16

arxiv.org/abs/1107.3254v1

Mathematics

Functional Analysis

23 pages, no figures

Scientific paper

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.

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