Roots of complex polynomials and Weyl-Heisenberg frame sets |
| |
Authors: | Peter G Casazza Nigel J Kalton |
| |
Institution: | Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri 65211 ; Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri 65211 |
| |
Abstract: | A Weyl-Heisenberg frame for is a frame consisting of modulates and translates , , of a fixed function , for . A fundamental question is to explicitly represent the families so that is a frame for . We will show an interesting connection between this question and a classical problem of Littlewood in complex function theory. In particular, we show that classifying the characteristic functions for which is a frame for is equivalent to classifying the integer sets so that does not have any zeroes on the unit circle in the plane. |
| |
Keywords: | |
|
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 |
|