Abstract
In this work, we study the ramified Cauchy problem for operators with multiple characteristics of constant multiplicity. We show that the theorems of Hamada-Leray-Wagschal, Hamada-Takeuchi and Leichtnam can be reduce to an unique integro-differential equation where the datas are holomorphic on the universal covering of an open set of C 2 and holomorphic in an neighbourhood of the origin of C n+1 with respect the other variables.
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