Control of radii of convergence and extension of subanalytic functions
| dc.creator | Bierstone, Edward | |
| dc.date | 2001-11-23 | |
| dc.date.accessioned | 2026-07-07T04:44:44Z | |
| dc.date.available | 2026-07-07T04:44:44Z | |
| dc.description | Let g denote a real analytic function on an open subset U of Euclidean space, and let S denote the boundary points of U where g does not admit a local analytic extension. We show that if g is semialgebraic (respectively, globally subanalytic), then S is semialgebraic (respectively, subanalytic) and g extends to a neighbourhood of cl(U)§as an analytic function that is semialgebraic (respectively, globally subanalytic). (In the general subanalytic case, S is not necessarily subanalytic.) Our proof depends on controlling the radii of convergence of power series G centred at points in the image of an analytic mapping, in terms of the radii of convergence of the pull-backs of G at points of the source. | |
| dc.description | AMS-TEX, 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0111249 | |
| dc.identifier | http://arxiv.org/abs/math/0111249 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62714 | |
| dc.subject | Complex Variables | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13J07, 14P10, 32B20 | |
| dc.title | Control of radii of convergence and extension of subanalytic functions | |
| dc.type | text |