{"id":93130,"date":"2009-05-05T00:00:00","date_gmt":"2009-05-05T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sobre-perturbaciones-de-polinomios-ortogonales-clasicos\/"},"modified":"2009-05-05T00:00:00","modified_gmt":"2009-05-05T00:00:00","slug":"sobre-perturbaciones-de-polinomios-ortogonales-clasicos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/analisis-y-analisis-funcional\/sobre-perturbaciones-de-polinomios-ortogonales-clasicos\/","title":{"rendered":"Sobre perturbaciones de polinomios ortogonales clasicos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Herbert Alonso Due\u00f1as Ruiz <\/strong><\/h2>\n<p>En la tesis se realizan perturbaciones de funcionales lineales cl\u00e1sicos. En particular, se enfatiza en la adici\u00f3n al producto escalar correspondiente a los polinomios ortogonales de laguerre, de una masa de dirac en el cero y derivadas de diferentes \u00f3rdenes en el cero. Esto nos permiti\u00f3 obtener dos tipos de polinomios, los polinomios ortogonales tipo laguerre y los polinomios ortogonales tipo laguerre-sobolev. El procedimiento en cada uno de los casos estudiados fue encontrar una f\u00f3rmula de conexi\u00f3n entre los nuevos polinomios y los polinomios de laguerre, realizar un estudio de la distribuci\u00f3n de los ceros de estos nuevos polinomios, estudiar propiedades asint\u00f3ticas y, salvo en el caso de la adici\u00f3n de una derivada de orden superior, hallar una ecuaci\u00f3n holon\u00f3mica que satisfacen estos polinomios. por otra parte, perturbamos funcionales cl\u00e1sicos de primera especie de laguerre-hahn, mediante adici\u00f3n de la derivada de una delta de dirac. Se determina la clase y la ecuaci\u00f3n diferencial de riccati que satisface la correspondiente funci\u00f3n de stieltjes y se obtiene la expresi\u00f3n expl\u00edcita de los polinomios ortogonales respecto al funcional lineal de primera especie de laguerre.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sobre perturbaciones de polinomios ortogonales clasicos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sobre perturbaciones de polinomios ortogonales clasicos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Herbert Alonso Due\u00f1as Ruiz <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Carlos III de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 05\/05\/2009<\/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>dimitar Kolev dimitrov (vocal)<\/li>\n<li>eduardo Godoy malvar (vocal)<\/li>\n<li>Juan  Jos\u00e9 Moreno balcazar (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Herbert Alonso Due\u00f1as Ruiz En la tesis se realizan perturbaciones de funcionales lineales cl\u00e1sicos. En particular, se [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[3183,18550],"tags":[192443,107284,4781,4785,192442,192444],"class_list":["post-93130","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-carlos-iii-de-madrid","tag-dimitar-kolev-dimitrov","tag-eduardo-godoy-malvar","tag-francisco-marcellan-espanol","tag-guillermo-lopez-lagomasino","tag-herbert-alonso-duenas-ruiz","tag-juan-jose-moreno-balcazar"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/93130","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=93130"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/93130\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=93130"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=93130"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=93130"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}