LAURENT POLYNOMIAL PERTURBATIONS OF LINEAR FUNCTIONALS. AN INVERSE PROBLEM.
| Audiencia | Público en general | es_ES |
| Cobertura | México | es_ES |
| Fecha de ingreso | 2026-10-05T16:32:42Z | |
| Fecha de publicación | 2009-01-01 | |
| Resumen | Given a linear functional L in the linear space P of polynomials with complex coefficients, we analyze those linear functionals (L) over tilde such that, for a fixed alpha is an element of C, <(L) over tilde, (z + z(-1) - (alpha + (alpha) over bar))p > = < L, p > for every p is an element of P. We obtain the relation between the corresponding Caratheodory functions in such a way that a linear spectral transform appears. If L is a positive definite linear functional, the necessary and sufficient conditions in order for (L) over tilde to be a quasi-definite linear functional are given. The relation between the corresponding sequences of monic orthogonal polynomials is presented. | es_ES |
| URI | https://riuat.uat.edu.mx/handle/123456789/4526 | |
| Idioma | en | es_ES |
| Editorial | KENT STATE UNIVERSITY | es_ES |
| Relación | Electronic Transactions on Numerical Analysis | es_ES |
| Derechos | Acceso restringido / Suscripción (Metadatos de producción científica) | es_ES |
| Licencia | http://purl.org/coar/access_right/c_16ec | es_ES |
| Fuente | Electronic Transactions on Numerical Analysis | |
| Palabra clave | Orthogonal polynomials | es_ES |
| Palabra clave | linear functionals | es_ES |
| Palabra clave | Laurent polynomials | es_ES |
| Palabra clave | linear spectral transformations | es_ES |
| Título | LAURENT POLYNOMIAL PERTURBATIONS OF LINEAR FUNCTIONALS. AN INVERSE PROBLEM. | es_ES |
| Tipo | Artículo | es_ES |
| Arbitrado | Ha sido Arbitrado | es_ES |
| Autor | Castillo, Kenier | |
| Autor | Garza, Luis | |
| Autor | Marcellan, Francisco | |
| Autor | Castillo, Kenier | es_ES |
| Autor | Garza, Luis | es_ES |
| Autor | Marcellan, Francisco | es_ES |
| Institución | Universidad Autónoma de Tamaulipas | |
| Institución | Universidad Autónoma de Tamaulipas | es_ES |
| Número | SI | es_ES |
| Rango de páginas | 83-98 | es_ES |
| Tipo de artículo | Indexado | |
| Tipo de artículo | Indexado | es_ES |
| Volumen | 36 | es_ES |
