{"id":91758,"date":"2018-03-11T10:10:35","date_gmt":"2018-03-11T10:10:35","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/transformaciones-espectrales-funciones-de-caratheodory-y-polinomios-ortogonales-en-la-circunferencia-unidad\/"},"modified":"2018-03-11T10:10:35","modified_gmt":"2018-03-11T10:10:35","slug":"transformaciones-espectrales-funciones-de-caratheodory-y-polinomios-ortogonales-en-la-circunferencia-unidad","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/analisis-y-analisis-funcional\/transformaciones-espectrales-funciones-de-caratheodory-y-polinomios-ortogonales-en-la-circunferencia-unidad\/","title":{"rendered":"Transformaciones espectrales, funciones de caratheodory y polinomios ortogonales en la circunferencia unidad"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Luis Enrique Garza Gaona <\/strong><\/h2>\n<p>La memoria aborda problemas de transformaciones espectrales a funcionales y\/o medidas soportadas en la circunferencia unidad. En particular, se estudian las condiciones necesarias y suficientes para que los funcionales y\/o medidas sean cuasi-definidos (definidos positivos) si el funcional y\/o medida original lo es. Asimismo, se estudian algunos otros aspectos como son: -matrices de hessenberg (la representaci\u00f3n matricial del operador de multiplicaci\u00f3n), donde se obtienen relaciones explicitas entre las matrices de hessenberg asociadas al funcional y\/o medida perturbado y al funcional y\/o medida original. &#8211; funciones de carath\u00e9odory (funciones anal\u00edticas definidas mediante la sucesi\u00f3n de momentos asociadas al funcional y\/o medida), encontrando la relaci\u00f3n entre las funciones de carath\u00e9odory asociadas a ambos funcionales. &#8211; coeficientes de verblunsky (evoluciones en el punto z=0 de los polinomios ortogonales), obteniendo expresiones explicitas para las nuevas familias de coeficientes de verblunsky y estudiando algunas propiedades asint\u00f3ticas de los mismos. finalmente, se estudian las transformaciones espectrales en el contexto de la transformaci\u00f3n de szego, es decir, la relaci\u00f3n entre medidas soportadas en el intervalo [-1, 1] de la recta real y medidas soportadas en la circunferencia unidad.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Transformaciones espectrales, funciones de caratheodory y polinomios ortogonales en la circunferencia unidad<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Transformaciones espectrales, funciones de caratheodory y polinomios ortogonales en la circunferencia unidad <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Luis Enrique Garza Gaona <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Carlos III de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 19\/02\/2009<\/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>Francisco Marcellan Espa\u00f1ol<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: guillermo Lopez lagomasino <\/li>\n<li>pablo Gonz\u00e1lez vera (vocal)<\/li>\n<li>Luis Vel\u00e1zquez campoy (vocal)<\/li>\n<li>Mar\u00eda  alicia Cachafeiro lopez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Luis Enrique Garza Gaona La memoria aborda problemas de transformaciones espectrales a funcionales y\/o medidas soportadas en [&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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