Cross theorem
| dc.creator | Jarnicki, Marek | |
| dc.creator | Pflug, Peter | |
| dc.date | 2001-02-17 | |
| dc.date.accessioned | 2026-07-07T04:40:13Z | |
| dc.date.available | 2026-07-07T04:40:13Z | |
| dc.description | Let $D, G\subset{\Bbb C}$ be domains, let $A\subset D$, $B\subset G$ be locally regular sets, and let $X:=(D\times B)\cup(A\times G)$. Assume that $A$ is a Borel set. Let $M$ be a proper analytic subset of an open neighborhood of $X$. Then there exists a pure 1-dimensional analytic subset $\hat M$ of the envelope of holomorphy $\hat X$ of $X$ such that any function separately holomorphic on $X\setminus M$ extends to a holomorphic function on $\hat X\setminus\hat M$. The result generalizes special cases which were studied in \cite{Ökt 1998}, \cite{Ökt 1999a}, and \cite{Sic 2000}. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0102136 | |
| dc.identifier | http://arxiv.org/abs/math/0102136 | |
| dc.identifier | Ann. Polon. Math. 77 (2001), 295-302 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60961 | |
| dc.subject | Complex Variables | |
| dc.subject | 32D15, 32D10 | |
| dc.title | Cross theorem | |
| dc.type | text |