{"id":37652,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/productos-escalares-con-derivadas-y-modificaciones-a-traves-de-formas-lineales\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"productos-escalares-con-derivadas-y-modificaciones-a-traves-de-formas-lineales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/productos-escalares-con-derivadas-y-modificaciones-a-traves-de-formas-lineales\/","title":{"rendered":"Productos escalares con derivadas y modificaciones a traves de formas lineales."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Elias Berriochoa Esnaola <\/strong><\/h2>\n<p>Se estudian dos problemas de ortogonalidad sobolev, generales y relacionados, sobre la circunferencia unidad (t):  problema de ortogonalidad lebesgue sobolev, que utiliza como desegunda componente del producto escalar la ponderaci\u00f3n de las primeras derivadas de los polinomios con la medida de lebesgue sobre t. Se estudian las sucesiones de polinomios ortogonales para tres tipos de medidas can\u00f3nicas sobre t. Las propiedades fundamentales se generalizan a medidas de la clase szego.  problemas de ortogonalidad discretos de tipo sobolev, que utilizan como segunda componente del producto escalar la correspondiente a una medida at\u00f3mica sobre cero, que afecta a las derivadas de un orden arbitrario.  se estudian las nuevas sucesiones de polinomios ortogonales obteniendose sus propiedades fundamentales.  el m\u00e9todo de an\u00e1lisis introduce una generalizaci\u00f3n del concepto habitual de polinomio ortogonal que es tambi\u00e9n estudiada.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Productos escalares con derivadas y modificaciones a traves de formas lineales.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Productos escalares con derivadas y modificaciones a traves de formas lineales. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Elias Berriochoa Esnaola <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Vigo<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1998<\/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>Mar\u00eda  Alicia Cachafeiro Lopez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco Marcellan Espa\u00f1ol <\/li>\n<li>Guillermo Lopez Lagomasino (vocal)<\/li>\n<li>Manuel Alfaro Garcia (vocal)<\/li>\n<li>Walter Van Assche (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Elias Berriochoa Esnaola Se estudian dos problemas de ortogonalidad sobolev, generales y relacionados, sobre la circunferencia unidad [&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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