Continuous Sobolev inner products on the unit circle: canonical models

We study the algebraic and asymptotic properties for the orthogonal polynomials with respect to Lebesgue-Sobolev inner products of two different types, which, in a certain sense, can be considered canonical.

Bibliographic Details
Main Authors: E. Berriochoa, A. Cachafeiro
Format: Article
Language:English
Published: Sapienza Università Editrice 1999-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1999(1)/89-106.pdf
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author E. Berriochoa
A. Cachafeiro
author_facet E. Berriochoa
A. Cachafeiro
author_sort E. Berriochoa
collection DOAJ
description We study the algebraic and asymptotic properties for the orthogonal polynomials with respect to Lebesgue-Sobolev inner products of two different types, which, in a certain sense, can be considered canonical.
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language English
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publisher Sapienza Università Editrice
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spelling doaj.art-8c1d8bf3fd954c13a09724b39de422262022-12-22T00:32:21ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33501999-01-0119189106Continuous Sobolev inner products on the unit circle: canonical modelsE. Berriochoa0A. Cachafeiro1Universidad de VigoUniversidad de VigoWe study the algebraic and asymptotic properties for the orthogonal polynomials with respect to Lebesgue-Sobolev inner products of two different types, which, in a certain sense, can be considered canonical.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1999(1)/89-106.pdforthogonal polynomialssobolev inner productsmeasures on the unit circle
spellingShingle E. Berriochoa
A. Cachafeiro
Continuous Sobolev inner products on the unit circle: canonical models
Rendiconti di Matematica e delle Sue Applicazioni
orthogonal polynomials
sobolev inner products
measures on the unit circle
title Continuous Sobolev inner products on the unit circle: canonical models
title_full Continuous Sobolev inner products on the unit circle: canonical models
title_fullStr Continuous Sobolev inner products on the unit circle: canonical models
title_full_unstemmed Continuous Sobolev inner products on the unit circle: canonical models
title_short Continuous Sobolev inner products on the unit circle: canonical models
title_sort continuous sobolev inner products on the unit circle canonical models
topic orthogonal polynomials
sobolev inner products
measures on the unit circle
url https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1999(1)/89-106.pdf
work_keys_str_mv AT eberriochoa continuoussobolevinnerproductsontheunitcirclecanonicalmodels
AT acachafeiro continuoussobolevinnerproductsontheunitcirclecanonicalmodels