$\hat{I}¼hom$ and multi-microlocal operators

Abstract

In this paper, we construct the multi-microlocalization functor $\hat{I}¼ho{m}_{\ddot{I}‡}$ of homomorphisms, which is a counterpart of the functor $\hat{I}¼hom$ studied by M.Kashiwara and P.Schapira. Furthermore, using the new functor, we also introduce several sheaves of multi-microlocal operators which act on multi-microlocalized objects such as a multi-microfunction.