Distributions in spaces with thick submanifolds
| Autor: | Ding, Jiajia, Vindas, Jasson, Yang, Yunyun |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | This article generalizes the results of [J. Math. Anal. Appl. 512 (2022), Article No. 126075], which presented a theory of distributions (generalized functions) with a singular curve contained in the domain of the test functions. In this present article we construct a theory of distributions in $\mathbb{R}^n$ with a ``thick submanifold'', that is, a new theory of thick distributions in $\mathbb{R}^n$ whose domain contains a submanifold on which test functions may be singular. Comment: 18 pages |
| Databáze: | arXiv |
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