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Conference Paper: Polynomials versus finite Blaschke products

TitlePolynomials versus finite Blaschke products
Authors
KeywordsApproximation
Chebyshev polynomials
Finite Blaschke products
Polynomials
Ritt's theorems
Issue Date2013
PublisherAmerican Mathematical Society.
Citation
The Fields Institute's 2011 Conference on Blaschke Products and their Applications, University of Toronto, ON., 25-29 July 2011. In Fields Institute Communications, 2013, v. 65, p. 249-273 How to Cite?
AbstractIn a recent joint work with Mingxi Wang, a version of Ritt's theory on the factorization of finite Blaschke products has been developed. In this Ritt's theory on the unit disk, a special class of finite Blaschke products has been introduced as the counterpart of Chebyshev polynomials in Ritt's theory for polynomials. These special finite Blaschke products are therefore called Chebyshev-Blaschke products. In this talk, I will explain the construction of them and also discuss some of their interesting properties.
DescriptionThe Speaker abstracts’ website is located at http://www.fields.utoronto.ca/programs/scientific/11-12/Blaschke_prod/abstracts.html
Persistent Identifierhttp://hdl.handle.net/10722/186798
ISBN
ISSN
2015 SCImago Journal Rankings: 0.341

 

DC FieldValueLanguage
dc.contributor.authorNg, PTWen_US
dc.contributor.authorTsang, CYen_US
dc.date.accessioned2013-08-20T12:20:29Z-
dc.date.available2013-08-20T12:20:29Z-
dc.date.issued2013en_US
dc.identifier.citationThe Fields Institute's 2011 Conference on Blaschke Products and their Applications, University of Toronto, ON., 25-29 July 2011. In Fields Institute Communications, 2013, v. 65, p. 249-273en_US
dc.identifier.isbn978-146145340-6-
dc.identifier.issn1069-5265-
dc.identifier.urihttp://hdl.handle.net/10722/186798-
dc.descriptionThe Speaker abstracts’ website is located at http://www.fields.utoronto.ca/programs/scientific/11-12/Blaschke_prod/abstracts.html-
dc.description.abstractIn a recent joint work with Mingxi Wang, a version of Ritt's theory on the factorization of finite Blaschke products has been developed. In this Ritt's theory on the unit disk, a special class of finite Blaschke products has been introduced as the counterpart of Chebyshev polynomials in Ritt's theory for polynomials. These special finite Blaschke products are therefore called Chebyshev-Blaschke products. In this talk, I will explain the construction of them and also discuss some of their interesting properties.-
dc.languageengen_US
dc.publisherAmerican Mathematical Society.en_US
dc.relation.ispartofFields Institute Communicationsen_US
dc.subjectApproximation-
dc.subjectChebyshev polynomials-
dc.subjectFinite Blaschke products-
dc.subjectPolynomials-
dc.subjectRitt's theorems-
dc.titlePolynomials versus finite Blaschke productsen_US
dc.typeConference_Paperen_US
dc.identifier.emailNg, PTW: ngtw@hku.hken_US
dc.identifier.authorityNg, PTW=rp00768en_US
dc.identifier.doi10.1007/978-1-4614-5341-3_14-
dc.identifier.scopuseid_2-s2.0-84874326360-
dc.identifier.hkuros220067en_US
dc.identifier.volume65en_US
dc.identifier.spage249en_US
dc.identifier.epage273en_US
dc.publisher.placeUnited Statesen_US
dc.customcontrol.immutablesml 140312-

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