activity
20102023
most citedClassification of traces and hypertraces on spaces of classical pseudodifferential operators

6 citations · 12 across the 5 of their papers we have counts for

collaborators

5 papers

math.OA2023

Pseudodifferential Operators on Noncommutative Tori: a Survey

Carolina Neira Jiménez

This article presents a survey of recent developments on pseudodifferential operators on noncommutative tori. We describe currently available constructions of those operators: by m…

astro-ph.GA2017★ 5 cited

Multiwavelength characterisation of an ACT-selected, lensed dusty star-forming galaxy at z=2.64

G. W. Roberts-Borsani, M. J. Jiménez-Donaire, M. Daprà +19

We present \ci\,(2--1) and multi-transition CO observations of a dusty star-forming galaxy, ACT\,J2029+0120, which we spectroscopically confirm to lie at \,=\,2.64. We de…

math.AP2013★ 1 cited

The canonical trace and the noncommutative residue on the noncommutative torus

Cyril Levy, Carolina Neira Jiménez, Sylvie Paycha

Using a global symbol calculus for pseudodifferential operators on tori, we build a canonical trace on classical pseudodifferential operators on noncommutative tori in terms of a c…

math.OA2011

Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions

Carolina Neira Jiménez, Marie Françoise Ouedraogo

To supplement the already known classification of traces on classical pseudodifferential operators, we present a classification of traces on the algebras of odd-class pseudodiffere…

math.OA2010★ 6 cited

Classification of traces and hypertraces on spaces of classical pseudodifferential operators

Matthias Lesch, Carolina Neira Jiménez

Let M be a closed manifold and let CL(M) be the algebra of classical pseudodifferential operators. The aim of this note is to classify trace functionals on the subspaces CL^a(M) of…