Rational modules and higher order Cauchy transforms

We apply the higher order Cauchy transforms to describe the closures of rational modules with respect to the LP norms, the uniform norm and different Lipschitz norms on a compact set in the plane.

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Bibliographic Details
Main Author: James Li-Ming Wang
Format: Article
Language:English
Published: Wiley 1981-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171281000501
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author James Li-Ming Wang
author_facet James Li-Ming Wang
author_sort James Li-Ming Wang
collection DOAJ
description We apply the higher order Cauchy transforms to describe the closures of rational modules with respect to the LP norms, the uniform norm and different Lipschitz norms on a compact set in the plane.
format Article
id doaj-art-dfbd270ca24a47f4a2caf2d6b8f9f519
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1981-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-dfbd270ca24a47f4a2caf2d6b8f9f5192025-02-03T05:53:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-014466166510.1155/S0161171281000501Rational modules and higher order Cauchy transformsJames Li-Ming Wang0Department of Mathematics, The University of Alabama, University, 35486, Alabama, USAWe apply the higher order Cauchy transforms to describe the closures of rational modules with respect to the LP norms, the uniform norm and different Lipschitz norms on a compact set in the plane.http://dx.doi.org/10.1155/S0161171281000501rational moduleCauchy transform.
spellingShingle James Li-Ming Wang
Rational modules and higher order Cauchy transforms
International Journal of Mathematics and Mathematical Sciences
rational module
Cauchy transform.
title Rational modules and higher order Cauchy transforms
title_full Rational modules and higher order Cauchy transforms
title_fullStr Rational modules and higher order Cauchy transforms
title_full_unstemmed Rational modules and higher order Cauchy transforms
title_short Rational modules and higher order Cauchy transforms
title_sort rational modules and higher order cauchy transforms
topic rational module
Cauchy transform.
url http://dx.doi.org/10.1155/S0161171281000501
work_keys_str_mv AT jameslimingwang rationalmodulesandhigherordercauchytransforms