Absolute equal distribution of families of finite sets.
type: Item
instance of: scholarly article
title: Absolute equal distribution of families of finite sets.
zbMATH Open document ID: 1037.15011
DOI: 10.1016/S0024-3795(02)00597-9
author: William F. Trench
published in: Linear Algebra and its Applications
publication date: 2003-05-27T00:00:00Z
review text: Motivated by recent results on the distribution of eigenvalues and singular values of Toeplitz matrices, two different definitions dealing with families \(U\), \(V\) of finite real sets with respect to a set \(F\) of continuous real-valued functions are considered, namely equal and absolutely equal distribution. It is shown that under certain conditions on \(F\) these definitions are equivalent. For certain function sets \(F\) sufficient conditions for \(U\), \(V\) being equally distributed are given.
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 1917807
zbMATH Keywords: Absolutely equally distributed
zbMATH Keywords: equally distributed
zbMATH Keywords: singular values
zbMATH Keywords: distribution of eigenvalues
zbMATH Keywords: Toeplitz matrices
reviewed by: Ludwig Elsner
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1917807