The density of rational functions in Markov systems: A counterexample to a conjecture of D. J. Newman |
| |
| Authors: | Peter B. Borwein Boris Shekhtman |
| |
| Affiliation: | 1. Department of Mathematics, Statistics, and Computing Science, Dalhousie University, B3H 3J5, Halifax, Nova Scotia, Canada
2. Department of Mathematics, University of South Florida, 33620, Tampa, Florida, USA
|
| |
| Abstract: | We construct a family of infinite Markov systems on [?1, 1] with the property that the rational functions from these systems are not dense inC[?1, 1]. This gives counterexamples to a long-standing conjecture of D. J. Newman. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
