Dixmier trace and the Fock space
Functional Analysis
2011-07-19 v1 Complex Variables
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. At the same time, analogous results for the Weyl pseudodifferential operators are also obtained.
Cite
@article{arxiv.1107.3254,
title = {Dixmier trace and the Fock space},
author = {Helene Bommier-Hato and Miroslav Englis and El-Hassan Youssfi},
journal= {arXiv preprint arXiv:1107.3254},
year = {2011}
}
Comments
23 pages, no figures