Spain, P. G. (1995) A discrete variation on Kronecker's theorem. Linear Algebra and its Applications, 223-22, pp. 631-636. (doi: 10.1016/0024-3795(94)00340-J)
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Abstract
It is a classical therem due to Kronecker that a Hankel operator with bounded measurable symbol on the unit circle has finite rank precisely when the antianalytic part of the symbol is rational. There is a similar result for the Hankel matrices analogously formed from the discrete Fourier transform of a continuous function: namely, that these matrices have uniformly bounded finite rank precisely when the symbol itself is rational.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Spain, Dr Philip |
| Authors: | Spain, P. G. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Linear Algebra and its Applications |
| Publisher: | Elsevier B.V. |
| ISSN: | 0024-3795 |
| ISSN (Online): | 1873-1856 |
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