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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…
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…