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arXiv · 2404.06123

$\mu hom$ and multi-microlocal operators

Naofumi Honda·Luca Prelli
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Abstract

In this paper, we construct the multi-microlocalization functor $\mu hom_{{\chi}}$ of homomorphisms, which is a counterpart of the functor $\mu hom$ 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.

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Naofumi Honda, Luca Prelli. 2024-04-09. $\mu hom$ and multi-microlocal operators. https://arxiv.org/abs/2404.06123

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