{"id":131808,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/polinomios-ortogonales-matriciales-teoria-y-aplicaciones\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"polinomios-ortogonales-matriciales-teoria-y-aplicaciones","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/polinomios-ortogonales-matriciales-teoria-y-aplicaciones\/","title":{"rendered":"Polinomios ortogonales matriciales: teoria y aplicaciones."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Emilio Defez Candel <\/strong><\/h2>\n<p>En esta memoria se introduce el concepto de ortognalidad de una sucesion de polinomios matriciales respecto a funcionales lineales, u bilineales conjugados matriciales. Dichos conceptos estructuran las familias de polinomios matriciales de laguerre, hermite y gegenbauer, introducidas en los dos ultimos a\u00f1os.  propiedades importantes como la relacion de tres terminos, el teorema de favard o la formula de christoffel-darboux se extienden para este concepto de ortogonalidad.  el concepto de funcional bilineal matricial definido positivo permite extender el concepto de ortogonalidad a espacios de funciones mas generales, de un espacio de banach, que en el caso escalar coincide con el espacio de hilbert clasico de las funciones cuadrado integrable respecto a una funcion peso.  el problema de la mejor aproximacion matricial introduce de manera natural el concepto de serie de fourier matricial respecto a una sucesion de polinomios ortogonales matriciales. Analogos matriciales de las desigualdades de bessel-parseval y del lema de riemman-lebesgue son demostrados, asi como la totalidad de familias de polinomios matriciales.  los resultados son aplicados a la obtencion de formulas de cuadratura matricial con obtencion de cotas de error, y a la obtencion de teoremas de desarrollo en serie de polinomios de hermite matriciales.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Polinomios ortogonales matriciales: teoria y aplicaciones.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Polinomios ortogonales matriciales: teoria y aplicaciones. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Emilio Defez Candel <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1996<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Lucas Jodar Sanchez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Marquina Vila <\/li>\n<li>Enrique Navarro Torres (vocal)<\/li>\n<li>Francisco Marcellan Espa\u00f1ol (vocal)<\/li>\n<li>Theodore Chihara (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Emilio Defez Candel En esta memoria se introduce el concepto de ortognalidad de una sucesion de polinomios [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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