{"id":17254,"date":"2002-06-06T00:00:00","date_gmt":"2002-06-06T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/ultradistribuciones-de-beurling-y-la-transformacion-integral-de-hankel\/"},"modified":"2002-06-06T00:00:00","modified_gmt":"2002-06-06T00:00:00","slug":"ultradistribuciones-de-beurling-y-la-transformacion-integral-de-hankel","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/ultradistribuciones-de-beurling-y-la-transformacion-integral-de-hankel\/","title":{"rendered":"Ultradistribuciones de beurling y la transformaci\u00f3n integral de hankel"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Mohamed Belhadj <\/strong><\/h2>\n<p>En la tesis se introducen y analizan espacios de funciones y distribuciones de tipo beurling adecuados a la transformaci\u00f3n integral y la convoluci\u00f3n de hankel. Se investigan los operadores de multiplicaci\u00f3n y de convoluci\u00f3n de hankel sobre estos espacios y se estudia la transformaci\u00f3n y la convoluci\u00f3n de hankel en el espacio de multiplicadores y su dual.  se introduce asimismo espacios de distribuciones temperadas de tipo beurling m\u00e1s amplios que el dual de la clase de altenburg y en los que la transformaci\u00f3n de hankel es un isomorfismo. Se investigan distribuciones tipo beurling-bj\u00ed\u00b6rck con pesos de braun, meise y taylor que son caracterizados mediante derivadas, lo que permite establecer interesantes propiedades topol\u00f3gicas.  se analizan la transformaci\u00f3n de hankel sobre el dual del espacio de las funciones enteras pares, estudiando tambi\u00e9n la traslaci\u00f3n y la convoluci\u00f3n de hankel en estos espacios. Asimismo, se discute la hiperciclicidad y el caos para los operadores de convoluci\u00f3n de hankel sobre los espacios de funciones y distribuciones beurling considerados as\u00ed como sobre el dual de la clase de las funciones enteras pares.  se aborda la solubilidad de ciertas ecuaciones de convoluci\u00f3n de hankel sobre los espacios de distribuciones de tipo beurling introducidos, caracterizando la sobreyectividad de los operadores de convoluci\u00f3n a trav\u00e9s del crecimiento de su transformada de hankel. Por \u00faltimo se estudia la hipoelipticidad de las ecuaciones de convoluci\u00f3n de hankel en el dual del espacio de las funciones regulares pares.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Ultradistribuciones de beurling y la transformaci\u00f3n integral de hankel<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Ultradistribuciones de beurling y la transformaci\u00f3n integral de hankel <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Mohamed Belhadj <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 La laguna<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 06\/06\/2002<\/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> Betancor P\u00e9rez Jorge  J.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Mend\u00e9z p\u00e9rez Jos\u00e9 manuel <\/li>\n<li>Antonio Galbis verd\u00fa (vocal)<\/li>\n<li>mario P\u00e9rez riera (vocal)<\/li>\n<li>kishin Sadarangani (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Mohamed Belhadj En la tesis se introducen y analizan espacios de funciones y distribuciones de tipo beurling [&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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