On the geometry of $Diff(S^1)$-pseudodifferential operators based on renormalized traces.

In this article, we examine the geometry of a group of Fourier-integral operators, which is the central extension of $Diff(S^1)$ with a group of classical pseudo-differential operators of any order. Several subgroups are considered, and the corresponding groups with formal pseudodifferential operat...

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Auteur principal:	Jean-Pierre Magnot
Format:	Artigo
Langue:	Inglês
Publié:	Odesa National University of Technology 2021-04-01
Collection:	Pracì Mìžnarodnogo Geometričnogo Centru
Sujets:	fourier-integral operators, infinite dimensional groups, schwinger cocycle, pseudo-differential operators, renormalized traces, hilbert-schmidt metric
Accès en ligne:	https://journals.onaft.edu.ua/index.php/geometry/article/view/1784
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