$μhom$ and multi-microlocal operators
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916651093458944 |
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| author | Honda, Naofumi Prelli, Luca |
| author_facet | Honda, Naofumi Prelli, Luca |
| contents | In this paper, we construct the multi-microlocalization functor $μhom_{χ}$ of homomorphisms, which is a counterpart of the functor $μhom$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06123 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $μhom$ and multi-microlocal operators Honda, Naofumi Prelli, Luca Analysis of PDEs In this paper, we construct the multi-microlocalization functor $μhom_{χ}$ of homomorphisms, which is a counterpart of the functor $μhom$ 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. |
| title | $μhom$ and multi-microlocal operators |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.06123 |