A discrete variation on Kronecker's theorem

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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