Distribution in the sense of eigenvalues of g-Toeplitz sequences: Clustering and attraction

This paper considers the spectral distribution and the concept of clustering and attraction in the sense of eigenvalues sequence of g-Toeplitz structures {Tn,g(f)} defined by Tn,g(f)=[fˆr−gs]r,s=0n−1, where g is a given nonnegative parameter, {fˆk} is the sequence of Fourier coefficients of the func...

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Main Author:	Eric Ngondiep
Format:	Article
Language:	English
Published:	Emerald Publishing 2016-01-01
Series:	Arab Journal of Mathematical Sciences
Subjects:	Toeplitz g-Toeplitz Eigenvalues Distribution Clustering Attraction Multilevel blocs
Online Access:	http://www.sciencedirect.com/science/article/pii/S1319516614000073

id	doaj-2176def8e8a346539b2bddec04e24be3
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spelling	doaj-2176def8e8a346539b2bddec04e24be32021-05-02T17:10:55ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662016-01-01221435810.1016/j.ajmsc.2014.05.002Distribution in the sense of eigenvalues of g-Toeplitz sequences: Clustering and attractionEric NgondiepThis paper considers the spectral distribution and the concept of clustering and attraction in the sense of eigenvalues sequence of g-Toeplitz structures {Tn,g(f)} defined by Tn,g(f)=[fˆr−gs]r,s=0n−1, where g is a given nonnegative parameter, {fˆk} is the sequence of Fourier coefficients of the function f∈L1(Td) with T=(−π,π), d is a positive integer, and where f is real-valued and essentially bounded. A detailed treatment of the unilevel case is given, that is, d=1 and g∈N. The generalizations to the blocks and multilevel case are also presented for the case where g is a vector with nonnegative integer entries.http://www.sciencedirect.com/science/article/pii/S1319516614000073Toeplitzg-ToeplitzEigenvaluesDistributionClusteringAttractionMultilevel blocs
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Eric Ngondiep
spellingShingle	Eric Ngondiep Distribution in the sense of eigenvalues of g-Toeplitz sequences: Clustering and attraction Arab Journal of Mathematical Sciences Toeplitz g-Toeplitz Eigenvalues Distribution Clustering Attraction Multilevel blocs
author_facet	Eric Ngondiep
author_sort	Eric Ngondiep
title	Distribution in the sense of eigenvalues of g-Toeplitz sequences: Clustering and attraction
title_short	Distribution in the sense of eigenvalues of g-Toeplitz sequences: Clustering and attraction
title_full	Distribution in the sense of eigenvalues of g-Toeplitz sequences: Clustering and attraction
title_fullStr	Distribution in the sense of eigenvalues of g-Toeplitz sequences: Clustering and attraction
title_full_unstemmed	Distribution in the sense of eigenvalues of g-Toeplitz sequences: Clustering and attraction
title_sort	distribution in the sense of eigenvalues of g-toeplitz sequences: clustering and attraction
publisher	Emerald Publishing
series	Arab Journal of Mathematical Sciences
issn	1319-5166
publishDate	2016-01-01
description	This paper considers the spectral distribution and the concept of clustering and attraction in the sense of eigenvalues sequence of g-Toeplitz structures {Tn,g(f)} defined by Tn,g(f)=[fˆr−gs]r,s=0n−1, where g is a given nonnegative parameter, {fˆk} is the sequence of Fourier coefficients of the function f∈L1(Td) with T=(−π,π), d is a positive integer, and where f is real-valued and essentially bounded. A detailed treatment of the unilevel case is given, that is, d=1 and g∈N. The generalizations to the blocks and multilevel case are also presented for the case where g is a vector with nonnegative integer entries.
topic	Toeplitz g-Toeplitz Eigenvalues Distribution Clustering Attraction Multilevel blocs
url	http://www.sciencedirect.com/science/article/pii/S1319516614000073
work_keys_str_mv	AT ericngondiep distributioninthesenseofeigenvaluesofgtoeplitzsequencesclusteringandattraction
_version_	1721489690040729600

Distribution in the sense of eigenvalues of g-Toeplitz sequences: Clustering and attraction

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