Geometric States
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916130969354240 |
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| author | Dherin, Benoit Weinstein, Alan |
| author_facet | Dherin, Benoit Weinstein, Alan |
| contents | We introduce a special family of distributional alpha-densities and give a transversality criterion stating when their product is defined, closely related to Hormander's criterion for general distributions. Moreover, we show that for the subspace of distributional half-densities in this family the distribution product naturally yields a pairing that extends the usual one on smooth half-densities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11854 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometric States Dherin, Benoit Weinstein, Alan Functional Analysis Mathematical Physics 46C50, 46F10, 53C99, 81S1 We introduce a special family of distributional alpha-densities and give a transversality criterion stating when their product is defined, closely related to Hormander's criterion for general distributions. Moreover, we show that for the subspace of distributional half-densities in this family the distribution product naturally yields a pairing that extends the usual one on smooth half-densities. |
| title | Geometric States |
| topic | Functional Analysis Mathematical Physics 46C50, 46F10, 53C99, 81S1 |
| url | https://arxiv.org/abs/2402.11854 |