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Indice d'un opérateur différentiel $p$-adique IV. Cas des systèmes. Mesure de l'irrégularité dans un disque
We are interested in showing that the differential operator of order 1,d dx+G, where G is a k×k matrix with rational coefficients, has an index in the space of functions analytic in a ball; we then wish to compute this index. In the case k=1, we show that this index …