{"id":79916,"date":"2006-12-05T00:00:00","date_gmt":"2006-12-05T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/ortogonalidad-no-estandar-problemas-directos-e-inversos\/"},"modified":"2006-12-05T00:00:00","modified_gmt":"2006-12-05T00:00:00","slug":"ortogonalidad-no-estandar-problemas-directos-e-inversos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/funciones-especiales\/ortogonalidad-no-estandar-problemas-directos-e-inversos\/","title":{"rendered":"Ortogonalidad no estandar     problemas directos e inversos"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Delgado Amaro Antonia Mar\u00eda <\/strong><\/h2>\n<p>La tesis est\u00e1 estructurada en siete cap\u00edtulos, cinco de los cuales (del 2 al 6) constituyen el n\u00facleo principal de la tesis. En ella se realizan diversos estudios que podemos enmarcar dentro de la teor\u00eda general de polinomios ortogonales.  el cap\u00edtulo 1 tiene un car\u00e1cter introductorio a la teor\u00eda general de polinomios ortogonales.  el cap\u00edtulo 2 est\u00e1 dedicado al an\u00e1lisis de funcionales lineales semicl\u00e1sicos y el estudio del problema de simetrizaci\u00f3n de este tipo de funcionales. En particular, describimos todos los funcionales definidos positivos sim\u00e9tricos semicl\u00e1sicos de clase 2, que los deduciremos mediante un proceso de simetrizaci\u00f3n a partir de funcionales semicl\u00e1sicos de clase 1.  en los cap\u00edtulos 3 y 4 realizamos un an\u00e1lisis de las familias de polinomios ortogonales con respecto a ciertos pares de funcionales sobre los que supondremos que  verifican ciertas condiciones que llamaremos de coherencia generalizada. Tales condiciones proporcionan una herramienta \u00fatil para el estudio de los polinomios de sobolev que son ortogonales con respecto al producto escalar de sobolev definido a partir de dicho par de funcionales. en los cap\u00edtulos 5 y 6 hacemos una incursi\u00f3n en la teor\u00eda de polinomios ortogonales en varias variables, estableciendo las definiciones apropiadas de ortogonalidad y desarrollando una teor\u00eda constructiva de los mismos. Concretamente, presentamos una teor\u00eda de polinomio ortogonales en dos variables correspondiente al proceso de ortogonalizaci\u00f3n teniendo en cuenta los \u00f3rdenes lexicogr\u00e1fico y lexicogr\u00e1fico inverso. finalmente, en el cap\u00edtulo 7, exponemos las conclusiones de la memoria de tesis, incluyendo una secci\u00f3n donde planteamos algunos problemas abiertos que han surgido durante su elaboraci\u00f3n.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Ortogonalidad no estandar     problemas directos e inversos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Ortogonalidad no estandar     problemas directos e inversos <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Delgado Amaro Antonia Mar\u00eda <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Carlos III de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 12\/05\/2006<\/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>Francisco Marcellan Espa\u00f1ol<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: guillermo Lopez lagomasino <\/li>\n<li>eduardo Godoy malvar (vocal)<\/li>\n<li>l Littlejohn lance (vocal)<\/li>\n<li>Miguel \u00e1ngel Pi\u00f1ar gonz\u00e1lez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Delgado Amaro Antonia Mar\u00eda La tesis est\u00e1 estructurada en siete cap\u00edtulos, cinco de los cuales (del 2 [&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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