Simple matrix representations of the orthogonal polynomials for a rational spectral density on the unit circle


Hokkaido University \| Library \| HUSCAP	Advanced Search		言語

	Home
	About HUSCAP
	Open Access Policy

	Browse by Author

Browse
	Communities & Collections

	Scholarly Journals
	Theses
	Doctoral Dissertations Listed by Graduate Schools
	Conference Procs.
	Events

	HUSCAP Senior (in Japanese)

	Societies

	Downloads (country)

For university staff
	How to post your papers to HUSCAP
	Publication of theses
	Helpline about theses publication

Open Archives Compliant

You can search our collection also at:
	Google
	Google Scholar
	CiNii
	IRDB
	OAIster
	NDLTD

Files in This Item:

IK-JMAA-rev.pdf

92.31 kB

PDF

Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/79065

Title:	Simple matrix representations of the orthogonal polynomials for a rational spectral density on the unit circle
Authors:	Inoue, Akihiko Browse this author
Authors:	Kasahara, Yukio Browse this author
Keywords:	Orthogonal polynomials on the unit circle
	Verblunsky coefficients
	Rational spectral density
	Seghier's formula
Issue Date:	15-Aug-2018
Publisher:	Elsevier
Journal Title:	Journal of mathematical analysis and applications
Volume:	464
Issue:	2
Start Page:	1366
End Page:	1374
Publisher DOI:	10.1016/j.jmaa.2018.04.062
Abstract:	In this note, by using a discrete analog of a projection formula introduced by A. Seghier in 1978, we calculate the orthogonal polynomials on the unit circle for a rational spectral density having no zeros there, and derive simple matrix representations of themselves, their squared norms, and the Verblunsky coefficients. (C) 2018 Elsevier Inc. All rights reserved.
Rights:	©2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Rights:	http://creativecommons.org/licenses/by-nc-nd/4.0/
Type:	article (author version)
URI:	http://hdl.handle.net/2115/79065
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 笠原雪夫

OAI-PMH ( junii2 , jpcoar_1.0 )

- Hokkaido University