• Corpus ID: 119158259

$\boldsymbol{Diff_+(S^1)-}$pseudo-differential operators and the Kadomtsev-Petviashvili hierarchy

@article{Magnot2018boldsymbolDiff\_S1pseudodifferential,
  title={\$\boldsymbol\{Diff\_+(S^1)-\}\$pseudo-differential operators and the Kadomtsev-Petviashvili hierarchy},
  author={Jean-Pierre Magnot and Enrique G. Reyes},
  journal={arXiv: Mathematical Physics},
  year={2018}
}
We establish a non-formal link between the structure of the group of Fourier integral operators $Cl^{0,*}_{odd}(S^1,V)\rtimes Diff_+(S^1)$ and the solutions of the Kadomtsev-Petviashvili hierarchy, using infinite-dimensional groups of series of non-formal pseudo-differential operators. 
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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 Dif f (S 1) with a group of classical pseudo-differential operators of any order.…

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