Continuation of Direct Products of Distributions
| dc.creator | Petermann, A. | |
| dc.date | 2000-01-18 | |
| dc.date.accessioned | 2026-07-07T04:27:36Z | |
| dc.date.available | 2026-07-07T04:27:36Z | |
| dc.description | If, in some problems, one has to deal with the ``product'' of distributions $\rm f_i$ (also called generalized functions) $\rm\bar T = Π^m_{i=1} f_i$, this product has a priori no definite meaning as a functional $(\rm \bar T, ϕ) $ for $\rmϕ\in S$. But if $\rm x^{κ+1} Π^m_{i=1} f_i$ exists, whatever the associativity is between some powers $\rm r_i$ of $\rm x$ ($\rm r_i \in \Bbb N, \sum_i r_i\leq κ+1, r_i \geq 0$) and the various $\rm f_i$, then a continuation of the linear functional $\rm \bar T$ from $\rm M$ onto $\rm S^{(N)}$ for some $\rm N$ is shown to exist in such a way that $\rm x^{κ+1} \bar T$ is defined unambiguously, and $\rm (\bar T, ϕ), ϕ\in S$, significant, though not unique. | |
| dc.description | 3 pages, latex | |
| dc.identifier | https://arxiv.org/abs/math-ph/0001025 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0001025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56473 | |
| dc.subject | Mathematical Physics | |
| dc.title | Continuation of Direct Products of Distributions | |
| dc.type | text |