Dif f + (S 1 )−PSEUDO-DIFFERENTIAL OPERATORS AND THE KADOMTSEV-PETVIASHVILI HIERARCHY
Résumé
We establish a non-formal link between the structure of the group of Fourier integral operators Cl 0, * odd (S 1 , V)Dif f + (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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