{"id":70652,"date":"2004-04-10T00:00:00","date_gmt":"2004-04-10T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/teoria-de-muestreo-y-espacios-de-hilbert-con-nucleo-reproductor\/"},"modified":"2004-04-10T00:00:00","modified_gmt":"2004-04-10T00:00:00","slug":"teoria-de-muestreo-y-espacios-de-hilbert-con-nucleo-reproductor","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/teoria-de-muestreo-y-espacios-de-hilbert-con-nucleo-reproductor\/","title":{"rendered":"Teoria de muestreo y espacios de hilbert con nucleo reproductor"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Alberto Portal Ruiz <\/strong><\/h2>\n<p>La teor\u00eda de muestreo trata de la reconstrucci\u00f3n de una funci\u00f3n f a partir de sus valores (muestras) en una sucesi\u00f3n {tn}, es decir, {f(tn)}. En la memoria, se desarrolla la denominada teor\u00eda geom\u00e9trica de muestreo en un espacio de hilbert con n\u00facleo reproductor h definido a partir de un espacio de hilbert separable h y una aplicaci\u00f3n k definida en un subconjunto de r con valores en h. La convergencia de los desarrollos muestrales obtenidos es puntual, absoluta y uniforme en subconjuntos de   donde la norma de k(t) (t  ) est\u00e1 acotada. Los resultados obtenidos no s\u00f3lo hacen uso de muestras de la funci\u00f3n f que queremos recuperar, sino que tambi\u00e9n se pueden utilizar muestras de otras funciones relacionadas con f. Es posible usar varias condiciones interpolatorias en el sentido que se precisa en la memoria. tambi\u00e9n se estudia el error de truncamiento cometido al considerar una cantidad finita de t\u00e9rminos en la f\u00f3rmula muestral con la que estemos trabajando. se muestra, asimismo, que esta teor\u00eda engloba la teor\u00eda de muestreo asociada a un operador sim\u00e9trico con resolvente compacta definido en un espacio de hilbert h. Se demuestra, finalmente, una f\u00f3rmula de muestreo irregular para procesos armonizables generalizados.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Teoria de muestreo y espacios de hilbert con nucleo reproductor<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Teoria de muestreo y espacios de hilbert con nucleo reproductor <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Alberto Portal Ruiz <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Carlos III de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 04\/10\/2004<\/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>Antonio Garcia Garcia<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: alberto Ibort latre <\/li>\n<li>pedro Jimenez guerra (vocal)<\/li>\n<li>Manuel Leon (vocal)<\/li>\n<li> Palencia de lara cesar (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Alberto Portal Ruiz La teor\u00eda de muestreo trata de la reconstrucci\u00f3n de una funci\u00f3n f a partir [&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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