Polynomial hulls and an optimization problem
| dc.creator | Whittlesey, Marshall A. | |
| dc.date | 2004-07-02 | |
| dc.date.accessioned | 2026-07-07T05:09:54Z | |
| dc.date.available | 2026-07-07T05:09:54Z | |
| dc.description | Let T be the unit circle in the complex plane C. This paper proves the existence of analytic structure in a compact subset K of T X C^n, where K has so-called "lineally convex" or "hypoconvex" fibers over T. It also addresses a related H-infinity optimization problem. The theorems here remove a number of unnatural assumptions required in an earlier work by the same author, "Polynomial hulls and H-infinity control for a hypoconvex constraint." (See http://www.arxiv.org/abs/math.CV/0001039) | |
| dc.description | 12 pages. To appear in the Journal of Geometric Analysis. This work is the sequel to another paper by the same author, (see http://www.arxiv.org/abs/math.CV/0001039) "Polynomial hulls and H-infinity control for a hypoconvex constraint." | |
| dc.identifier | https://arxiv.org/abs/math/0407023 | |
| dc.identifier | http://arxiv.org/abs/math/0407023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71755 | |
| dc.subject | Complex Variables | |
| dc.subject | Optimization and Control | |
| dc.subject | 32E30, 49K35 (Primary) 30E25 (Secondary) | |
| dc.title | Polynomial hulls and an optimization problem | |
| dc.type | text |