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pro vyhledávání: '"Jiménez, Carolina Neira"'
Autor:
Jiménez, Carolina Neira
Publikováno v:
La Matematica (2024).
This article presents a survey of recent developments on pseudodifferential operators on noncommutative tori. We describe currently available constructions of those operators: by means of a $C^*$--dynamical system, by using an analogue of the Fourier
Externí odkaz:
http://arxiv.org/abs/2303.03584
Autor:
Abels, Helmut, Jiménez, Carolina Neira
We study pseudodifferential boundary value problems in the context of the Boutet de Monvel calculus or Green operators, with nonsmooth coefficients on smooth compact manifolds with boundary. In order to have a definition that is independent of the ch
Externí odkaz:
http://arxiv.org/abs/1709.04157
We revisit traces of holomorphic families of pseudodifferential operators on a closed manifold in view of geometric applications. We then transpose the corresponding analytic constructions to two different geometric frameworks; the noncommutative tor
Externí odkaz:
http://arxiv.org/abs/1501.06338
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 canonical discrete sum on the underlying toroidal symbols. We character
Externí odkaz:
http://arxiv.org/abs/1303.0241
Publikováno v:
SIGMA 8 (2012), 023, 25 pages
To supplement the already known classification of traces on classical pseudodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order acting on smooth functions on a
Externí odkaz:
http://arxiv.org/abs/1111.6750
Publikováno v:
J. Noncommut. Geom. 7 (2013), 457-498
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 CL(M) of operators of order a. CL^a(M) is a CL^0(M)-module for any re
Externí odkaz:
http://arxiv.org/abs/1011.3238
Publikováno v:
Transactions of the American Mathematical Society, 2016 Feb 01. 368(2), 1051-1095.
Externí odkaz:
https://www.jstor.org/stable/tranamermathsoci.368.2.1051
Autor:
Jiménez, Carolina Neira
This article presents a survey of recent developments on pseudodifferential operators on the noncommutative torus in two frameworks, as a Rieffel deformation and as a spectral triple. We describe currently available constructions of pseudodifferentia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b681bad3b7fbe7651a88d2874c2d6bd0
Autor:
Abels, Helmut, Jiménez, Carolina Neira
Publikováno v:
Journal of Pseudo-Differential Operators & Applications; Jun2019, Vol. 10 Issue 2, p415-453, 39p
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