Dixmier Trace for Toeplitz Operators on Symmetric Domains
Functional Analysis
2015-08-20 v1
Abstract
For Toeplitz operators on bounded symmetric domains of arbitrary rank, we define a Hilbert quotient module corresponding to partitions of length and prove that it belongs to the Macaev class . We next obtain an explicit formula for the Dixmier trace of Toeplitz commutators in terms of the underlying boundary geometry.
Cite
@article{arxiv.1508.04710,
title = {Dixmier Trace for Toeplitz Operators on Symmetric Domains},
author = {Harald Upmeier and Kai Wang},
journal= {arXiv preprint arXiv:1508.04710},
year = {2015}
}