Polynomial hulls and an optimization problem
Complex Variables
2007-05-23 v1 Optimization and Control
Abstract
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)
Cite
@article{arxiv.math/0407023,
title = {Polynomial hulls and an optimization problem},
author = {Marshall A. Whittlesey},
journal= {arXiv preprint arXiv:math/0407023},
year = {2007}
}
Comments
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."