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Conference Paper: Polynomials versus finite Blaschke products
| Title | Polynomials versus finite Blaschke products |
|---|---|
| Authors | |
| Keywords | Approximation Chebyshev polynomials Finite Blaschke products Polynomials Ritt's theorems |
| Issue Date | 2013 |
| Publisher | American 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? |
| Abstract | In 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. |
| Description | The Speaker abstracts’ website is located at http://www.fields.utoronto.ca/programs/scientific/11-12/Blaschke_prod/abstracts.html |
| Persistent Identifier | http://hdl.handle.net/10722/186798 |
| ISBN | |
| ISSN |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Ng, PTW | en_US |
| dc.contributor.author | Tsang, CY | en_US |
| dc.date.accessioned | 2013-08-20T12:20:29Z | - |
| dc.date.available | 2013-08-20T12:20:29Z | - |
| dc.date.issued | 2013 | en_US |
| dc.identifier.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 | en_US |
| dc.identifier.isbn | 978-146145340-6 | - |
| dc.identifier.issn | 1069-5265 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/186798 | - |
| dc.description | The Speaker abstracts’ website is located at http://www.fields.utoronto.ca/programs/scientific/11-12/Blaschke_prod/abstracts.html | - |
| dc.description.abstract | In 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.language | eng | en_US |
| dc.publisher | American Mathematical Society. | en_US |
| dc.relation.ispartof | Fields Institute Communications | en_US |
| dc.subject | Approximation | - |
| dc.subject | Chebyshev polynomials | - |
| dc.subject | Finite Blaschke products | - |
| dc.subject | Polynomials | - |
| dc.subject | Ritt's theorems | - |
| dc.title | Polynomials versus finite Blaschke products | en_US |
| dc.type | Conference_Paper | en_US |
| dc.identifier.email | Ng, PTW: ngtw@hku.hk | en_US |
| dc.identifier.authority | Ng, PTW=rp00768 | en_US |
| dc.identifier.doi | 10.1007/978-1-4614-5341-3_14 | - |
| dc.identifier.scopus | eid_2-s2.0-84874326360 | - |
| dc.identifier.hkuros | 220067 | en_US |
| dc.identifier.volume | 65 | en_US |
| dc.identifier.spage | 249 | en_US |
| dc.identifier.epage | 273 | en_US |
| dc.publisher.place | United States | en_US |
| dc.customcontrol.immutable | sml 140312 | - |
| dc.identifier.issnl | 1069-5265 | - |