A discrete variation on Kronecker's theorem
type: Item
instance of: scholarly article
title: A discrete variation on Kronecker's theorem
zbMATH Open document ID: 0827.15030
DOI: 10.1016/0024-3795(94)00340-J
published in: Linear Algebra and its Applications
publication date: 1995-07-24T00:00:00Z
review text: This note presents a classical theorem 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. A similar result for the Hankel matrices analogously formed from the discrete Fourier transform of a continuous function is also presented.
reviewed by: Seshadri Sridhar
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 65T50
zbMATH DE Number: 778278
zbMATH Keywords: measurable symbol
zbMATH Keywords: Hankel operator
zbMATH Keywords: finite rank
zbMATH Keywords: discrete Fourier transform
author: P. G. Spain
MaRDI profile type: Publication
cites work: Q3713006
cites work: Tracking poles, representing Hankel operators, and the Nehari problem
cites work: Q4040100
description: scientific article; zbMATH DE number 778278