{"id":15537,"date":"2002-11-02T00:00:00","date_gmt":"2002-11-02T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/matrices-de-jacobi-fracciones-continuas-vectoriales-y-productos-de-sobolev\/"},"modified":"2002-11-02T00:00:00","modified_gmt":"2002-11-02T00:00:00","slug":"matrices-de-jacobi-fracciones-continuas-vectoriales-y-productos-de-sobolev","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/matrices-de-jacobi-fracciones-continuas-vectoriales-y-productos-de-sobolev\/","title":{"rendered":"Matrices de jacobi, fracciones continuas vectoriales y productos de sobolev"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Castro Smirnova Mirta M. <\/strong><\/h2>\n<p>La tesis doctoral se enmarca dentro de la teor\u00eda de la aproximaci\u00f3n estudi\u00e1ndose tres problemas aparentemente disconexos: las matrices de jacobi, las fracciones continuas y polinomios otorgonales respecto a productos de sobolev.  la memoria est\u00e1 dividida en tres partes. En la primera se estudia una extensi\u00f3n de un resultado sobre determinaci\u00f3n de matrices (infinitas) de jacobi reales al caso complejo y prueba un resultado similar al caso real. as\u00ed, en el cap\u00edtulo 2 se prueba que si una matriz de jacobi compleja g se puede escribir de la forma g= j+c, con j una matriz de jacobi real y c una matriz con coeficientes complejos uniformemente acotados, entonces g es determinada si y s\u00f3lo si j lo es, de donde adem\u00e1s se induce que para la determinaci\u00f3n de los matrices g= j+c en el caso complejo es necesario y suficiente que d(g) = d(g*), donde d(g) denota el dominio del operador asociado a g y g* el adjunto de g. De esta forma se tiene la existencia a c de una propiedad conocida en r. Esto adem\u00e1s, tiene estrecha relaci\u00f3n con la teor\u00eda de fracciones continuas que precisamente constituye el objetivo de la segunda parte de la tesis.  la segunda parte de la tesis trata de la generalizaci\u00f3n de las s-fracciones de stieltjes \u00abescalares\u00bb. As\u00ed, se definen y estudian las fracciones continuas vectoriales. Se dan, en particular, distintas condiciones necesarias y suficientes de convergencia de s-fracciones continuas vectoriales, muchas de ellas son extensiones \u00abnaturales\u00bb de las condiciones del caso cl\u00e1sico. finalmente, en el cap\u00edtulo 5 se estudia la ecuaci\u00f3n de recurrencia yn + cnyn-1 + cnyn-2 = o, n &#8211; n que est\u00e1 ligada al problema de la convergencia de las fracciones vectoriales.  la tercera y \u00faltima parte de la tesis aborda el problema de la localizaci\u00f3n de ceros de los polinomios ortogonales respecto a un producto escalar de sobolev (.,.)S, entonces el soporte de la medida u asociada a (.,.)S es compacto. Este resultado es un pri<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Matrices de jacobi, fracciones continuas vectoriales y productos de sobolev<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Matrices de jacobi, fracciones continuas vectoriales y productos de sobolev <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Castro Smirnova Mirta M. <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 11\/02\/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> Dur\u00e1n Guarde\u00f1o Antonio  J.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco Marcellan espa\u00f1ol <\/li>\n<li>assche Walter van (vocal)<\/li>\n<li>beckermann Bernhard (vocal)<\/li>\n<li>renato Alvarez nodarse (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Castro Smirnova Mirta M. La tesis doctoral se enmarca dentro de la teor\u00eda de la aproximaci\u00f3n estudi\u00e1ndose [&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":[3183,126,10715],"tags":[49516,49517,49514,49515,4781,49518],"class_list":["post-15537","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-matematicas","category-sevilla","tag-assche-walter-van","tag-beckermann-bernhard","tag-castro-smirnova-mirta-m","tag-duran-guardeno-antonio-j","tag-francisco-marcellan-espanol","tag-renato-alvarez-nodarse"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/15537","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=15537"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/15537\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=15537"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=15537"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=15537"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}