{"id":88820,"date":"2001-09-02T00:00:00","date_gmt":"2001-09-02T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/operadores-de-tipo-bernstein-y-procesos-estocasticos\/"},"modified":"2001-09-02T00:00:00","modified_gmt":"2001-09-02T00:00:00","slug":"operadores-de-tipo-bernstein-y-procesos-estocasticos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/operadores-de-tipo-bernstein-y-procesos-estocasticos\/","title":{"rendered":"Operadores de tipo bernstein y procesos estoc\u00e1sticos"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Valle Mart\u00edn Ana M. <\/strong><\/h2>\n<p>Los operadores de tipo bernstein son operadores lineales positivos cuyo rasto caracter\u00edstico es que pueden expresarse como esperzans matem\u00e1ticas, lo que abre la posibilidad de estudiarlos utilizando m\u00e9todos probabil\u00edsticos. tiene particular inter\u00e9s la metodolog\u00eda basada en la representaci\u00f3n de los operadores mediante procesos estoc\u00e1sticos, que es la utilizada en la presente memoria.  la tesis se compone de dos partes. La primera (cap\u00edtulos 1 y 2) versa sobre operadores unidimensionales y la segunda (cap\u00edtulos 3-6) sobre operadores multidimensionales.  en el capitulo 1 se recogen las nociones b\u00e1sicas para el desarrollo del trabajo as\u00ed como los principales ejemplos que ilustrar\u00e1n los resultados generales. La principal novedad es la introducic\u00f3n de los procesos suprestacionarios que resultan clave para le tratamiento de los operadores multidimensionales sobre s\u00edmplices.  en el capitulo 2, introducimos una familia multi para m\u00e9trica de operadores polinomiales que tien una doble carcter\u00edstica:  a,- al especificar los par\u00e1metros se obtienen operadores que han sido tratados en la literatura de manera individual.  b,- las derivadas se expresan mediante operadores de la misma familia lo que permite el tratamiento simult\u00e1neo de los operadores y de sus derivadas. para esta familia se estudian problemas de convergencia y de preservaci\u00f3n.  la segunda parte consiste en un estudio sistem\u00e1tico del problema de preservaci\u00f3n de la regularidad global en el contexto de los operadores multidimensionales.  el cap\u00edtulo 3 recoge nociones y ejemplos b\u00e1sicos relativos a operadores multidimensionales.  en el cap\u00edtulo 4 se obtienen f\u00f3rmulas exactas y estimaciones ajustadas para las constantes \u00f3ptimas involucradas en los problemas de preservaci\u00f3n, en el caso de productos tensoriales.  en el cap\u00edtulo 5 trata sobre tres productos tensoriales espec\u00edficos y se obtienen resultados exactos cuando la dimensi\u00f3n es mayor que 2. En el<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Operadores de tipo bernstein y procesos estoc\u00e1sticos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Operadores de tipo bernstein y procesos estoc\u00e1sticos <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Valle Mart\u00edn Ana M. <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Pa\u00eds vasco\/euskal herriko unibertsitatea<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 09\/02\/2001<\/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> Cal Aguado Jes\u00fas De La<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Miguel San Miguel marco <\/li>\n<li> Adell pascual Jos\u00e9 Antonio (vocal)<\/li>\n<li> Cuesta albertos Juan  Antonio (vocal)<\/li>\n<li>gloria isabel P\u00e9rez s\u00e1inz de rozas (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Valle Mart\u00edn Ana M. Los operadores de tipo bernstein son operadores lineales positivos cuyo rasto caracter\u00edstico es [&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":[3183,126,12909,1475,1478,12647],"tags":[66056,66054,96028,92333,28878,185146],"class_list":["post-88820","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-matematicas","category-pais-vasco-euskal-herriko-unibertsitatea","category-probabilidad","category-procesos-estocasticos","category-teoria-de-la-aproximacion","tag-adell-pascual-jose-antonio","tag-cal-aguado-jesus-de-la","tag-cuesta-albertos-juan-antonio","tag-gloria-isabel-perez-sainz-de-rozas","tag-miguel-san-miguel-marco","tag-valle-martin-ana-m"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/88820","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=88820"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/88820\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=88820"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=88820"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=88820"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}