English

$\mu hom$ and multi-microlocal operators

Analysis of PDEs 2025-03-14 v2

Abstract

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

Cite

@article{arxiv.2404.06123,
  title  = {$\mu hom$ and multi-microlocal operators},
  author = {Naofumi Honda and Luca Prelli},
  journal= {arXiv preprint arXiv:2404.06123},
  year   = {2025}
}
R2 v1 2026-06-28T15:48:29.788Z