On Extensions of a Theorem of Baxter
We combine the Riemann-Hilbert approach with the techniques of Banach algebras to obtain an extension of Baxter's Theorem for polynomials orthogonal on the unit circle. This is accomplished by using the link between the negative Fourier coefficients of the scattering function and the coefficien...
| Main Authors: | , |
|---|---|
| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
2012
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/1633 |
| _version_ | 1789406363217035264 |
|---|---|
| author | Geronimo, J. S. Martínez-Finkelshtein, Andrei |
| author_facet | Geronimo, J. S. Martínez-Finkelshtein, Andrei |
| author_sort | Geronimo, J. S. |
| collection | DSpace |
| description | We combine the Riemann-Hilbert approach with the techniques of Banach algebras to obtain an extension of Baxter's Theorem for polynomials orthogonal on the unit circle. This is accomplished by using the link between the negative Fourier coefficients of the scattering function and the coefficients in the recurrence formula satisfied by these polynomials. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-1633 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-16332023-04-12T19:36:59Z On Extensions of a Theorem of Baxter Geronimo, J. S. Martínez-Finkelshtein, Andrei Teorema de Baxter Polinomios ortogonales Círculo unitario Baxter's Theorem Polynomials orthogonal Unit circle We combine the Riemann-Hilbert approach with the techniques of Banach algebras to obtain an extension of Baxter's Theorem for polynomials orthogonal on the unit circle. This is accomplished by using the link between the negative Fourier coefficients of the scattering function and the coefficients in the recurrence formula satisfied by these polynomials. 2012-08-02T11:15:10Z 2012-08-02T11:15:10Z 2006 info:eu-repo/semantics/article http://hdl.handle.net/10835/1633 en info:eu-repo/semantics/openAccess Journal of approximation theory Vol. 139 Nº(1-2) (2006) |
| spellingShingle | Teorema de Baxter Polinomios ortogonales Círculo unitario Baxter's Theorem Polynomials orthogonal Unit circle Geronimo, J. S. Martínez-Finkelshtein, Andrei On Extensions of a Theorem of Baxter |
| title | On Extensions of a Theorem of Baxter |
| title_full | On Extensions of a Theorem of Baxter |
| title_fullStr | On Extensions of a Theorem of Baxter |
| title_full_unstemmed | On Extensions of a Theorem of Baxter |
| title_short | On Extensions of a Theorem of Baxter |
| title_sort | on extensions of a theorem of baxter |
| topic | Teorema de Baxter Polinomios ortogonales Círculo unitario Baxter's Theorem Polynomials orthogonal Unit circle |
| url | http://hdl.handle.net/10835/1633 |
| work_keys_str_mv | AT geronimojs onextensionsofatheoremofbaxter AT martinezfinkelshteinandrei onextensionsofatheoremofbaxter |