Carrier cones of analytic functionals
| dc.creator | Soloviev, M. A. | |
| dc.date | 2005-07-06 | |
| dc.date | 2005-07-08 | |
| dc.date.accessioned | 2026-07-07T04:32:12Z | |
| dc.date.available | 2026-07-07T04:32:12Z | |
| dc.description | We prove that every continuous linear functional on the space $S^0(R^d)$ consisting of the entire analytic functions whose Fourier transforms belong to the Schwartz space $\mathcal D$ has a unique minimal carrier cone in $R^d$, which substitutes for the support. The proof is based on a relevant decomposition theorem for elements of the spaces $S^0(K)$ associated naturally with closed cones $K\subset R^d$. These results, essential for applications to nonlocal quantum field theory, are similar to those obtained previously for functionals on the Gelfand-Shilov spaces $S^0_α$, but their derivation is more sophisticated because $S^0(K)$ are not DFS spaces and have more complicated topological structure. | |
| dc.description | 10 pages, LaTeX2e, no figures; minor typos corrected | |
| dc.identifier | https://arxiv.org/abs/math-ph/0507011 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0507011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58102 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Functional Analysis | |
| dc.subject | 46F15, 32C81 (Primary); 46E10, 46F05 (Secondary) | |
| dc.title | Carrier cones of analytic functionals | |
| dc.type | text |