Dixmier traces for discrete pseudo-differential operators
Spectral Theory
2020-03-11 v2 Functional Analysis
Operator Algebras
Abstract
In this paper we provide sharp results for the Dixmier traceability of discrete pseudo-differential operators on . In this setting, we introduce a suitable notion of a class of classical symbols which provide a class of Dixmier traceable discrete pseudo-differential operators. We also present a formula for the Dixmier trace of a Dixmier traceable discrete pseudo-differential operator by using the Connes equivalence between the Wodzicki residue and the Dixmier trace.
Cite
@article{arxiv.1911.03924,
title = {Dixmier traces for discrete pseudo-differential operators},
author = {Duván Cardona and César del Corral and Vishvesh Kumar},
journal= {arXiv preprint arXiv:1911.03924},
year = {2020}
}
Comments
10 pages. Dedicated to Professor L\'azaro Recht on his 79 birthday