Szego polynomials: a view from the Riemann-Hilbert window
This is an expanded version of the talk given at the conference ``Constructive Functions Tech-04''. We survey some recent results on canonical representation and asymptotic behavior of polynomials orthogonal on the unit circle with respect to an analytic weight. These results are obtained...
| প্রধান লেখক: | |
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| বিন্যাস: | info:eu-repo/semantics/article |
| ভাষা: | English |
| প্রকাশিত: |
2012
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| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | http://hdl.handle.net/10835/1634 |
| _version_ | 1789406321499439104 |
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| author | Martínez-Finkelshtein, Andrei |
| author_facet | Martínez-Finkelshtein, Andrei |
| author_sort | Martínez-Finkelshtein, Andrei |
| collection | DSpace |
| description | This is an expanded version of the talk given at the conference ``Constructive Functions Tech-04''. We survey some recent results on canonical representation and asymptotic behavior of polynomials orthogonal on the unit circle with respect to an analytic weight. These results are obtained using the steepest descent method based on the Riemann-Hilbert characterization of these polynomials. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-1634 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-16342023-04-12T19:36:21Z Szego polynomials: a view from the Riemann-Hilbert window Martínez-Finkelshtein, Andrei Ceros Asintóticas Problemas de Riemann-Hilbert Polinomios de Szego Coeficientes de Verblunsky Zeros Asymptotics Riemann-Hilbert problem Szego polynomials Verblunsky coefficients This is an expanded version of the talk given at the conference ``Constructive Functions Tech-04''. We survey some recent results on canonical representation and asymptotic behavior of polynomials orthogonal on the unit circle with respect to an analytic weight. These results are obtained using the steepest descent method based on the Riemann-Hilbert characterization of these polynomials. 2012-08-02T11:47:34Z 2012-08-02T11:47:34Z 2006 info:eu-repo/semantics/article http://hdl.handle.net/10835/1634 en info:eu-repo/semantics/openAccess Electronic Transactions on Numerical Analysis Vol. 25 (2006) |
| spellingShingle | Ceros Asintóticas Problemas de Riemann-Hilbert Polinomios de Szego Coeficientes de Verblunsky Zeros Asymptotics Riemann-Hilbert problem Szego polynomials Verblunsky coefficients Martínez-Finkelshtein, Andrei Szego polynomials: a view from the Riemann-Hilbert window |
| title | Szego polynomials: a view from the Riemann-Hilbert window |
| title_full | Szego polynomials: a view from the Riemann-Hilbert window |
| title_fullStr | Szego polynomials: a view from the Riemann-Hilbert window |
| title_full_unstemmed | Szego polynomials: a view from the Riemann-Hilbert window |
| title_short | Szego polynomials: a view from the Riemann-Hilbert window |
| title_sort | szego polynomials: a view from the riemann-hilbert window |
| topic | Ceros Asintóticas Problemas de Riemann-Hilbert Polinomios de Szego Coeficientes de Verblunsky Zeros Asymptotics Riemann-Hilbert problem Szego polynomials Verblunsky coefficients |
| url | http://hdl.handle.net/10835/1634 |
| work_keys_str_mv | AT martinezfinkelshteinandrei szegopolynomialsaviewfromtheriemannhilbertwindow |