{"id":28484,"date":"2004-03-02T00:00:00","date_gmt":"2004-03-02T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/operadores-pseudodiferenciales-en-clases-no-casianala%c2%adticas-de-tipo-beurling\/"},"modified":"2004-03-02T00:00:00","modified_gmt":"2004-03-02T00:00:00","slug":"operadores-pseudodiferenciales-en-clases-no-casianala%c2%adticas-de-tipo-beurling","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/politecnica-de-valencia\/operadores-pseudodiferenciales-en-clases-no-casianala%c2%adticas-de-tipo-beurling\/","title":{"rendered":"Operadores pseudodiferenciales en clases no casianal\u00edticas de tipo beurling"},"content":{"rendered":"<h2>Tesis doctoral de <strong> David Jornet Casanova <\/strong><\/h2>\n<p>Los operadores pseudodiferenciales son generalizaciones de los operadores integrales singulares y de los operadores en derivadas parciales con coeficientes variables. A cada operador le corresponde un s\u00edmbolo, que es una funci\u00f3n infinitamente diferenciable y cuyas derivadas parciales cumplen ciertas estimaciones.  el prop\u00f3sito es introducir estos operadores en el contexto de las clases no casianal\u00edticas de tipo beurling, clases que recientemente han recibido mucha atenci\u00f3n, por ser m\u00e1s generales y unificar teor\u00edas anteriores. La tesis de tres cap\u00edtulos.  en el primero se definen los s\u00edmbolos y operadores, se estudia entre qu\u00e9 espacios de funciones y ultradistribuciones act\u00faan, se prueba que la clase es cerrada por trasposici\u00f3n y que los operadores son pseudolocales. Tambi\u00e9n se dan ejemplos naturales de operadores en este contexto: operadores diferenciales cuyos coeficientes son fuciones ultradiferenciables, los operadores regularizantes y los operadores ultradiferenciales en el sentido de komatsu,y la convoluci\u00f3n con una soluci\u00f3n fundamental de un operador ultradiferencial el\u00edptico.  en el segundo cap\u00edtulo se introduce el c\u00e1lculo simb\u00f3lico, cuyo objetivo es sustituir la teor\u00eda de los operadores por una algebraica de los correspondientes s\u00edmbolos.  el tercer cap\u00edtulo est\u00e1 dedicado al estudio de la hipoelipticidad, concretamente de operadores en derivadas parciales de fuerza constante cuyos coeficientes est\u00e1n en una clase conveniente de funciones ultradiferenciables. Se preuba que en este contexto, la hipoelipticidad coincide con la hipoelipticidad homog\u00e9nea, a priori m\u00e1s d\u00e9bil. Tambi\u00e9n se establece una condici\u00f3n suficiente para la existencia de una param\u00e9trix pseudodiferencial.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Operadores pseudodiferenciales en clases no casianal\u00edticas de tipo beurling<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Operadores pseudodiferenciales en clases no casianal\u00edticas de tipo beurling <\/li>\n<li><strong>Autor:<\/strong>\u00a0 David Jornet Casanova <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 03\/02\/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>Carmen Fern\u00e1ndez Rosell<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: manuel Valdivia ure\u00f1a <\/li>\n<li>Jos\u00e9 Bonet solves (vocal)<\/li>\n<li> Betancor p\u00e9rez Jorge  Juan (vocal)<\/li>\n<li>luigi Rodino (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de David Jornet Casanova Los operadores pseudodiferenciales son generalizaciones de los operadores integrales singulares y de los operadores [&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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