{"id":85541,"date":"2000-03-07T00:00:00","date_gmt":"2000-03-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/perturbaciones-de-medidas-matriciales-y-polinomios-ortogonales\/"},"modified":"2000-03-07T00:00:00","modified_gmt":"2000-03-07T00:00:00","slug":"perturbaciones-de-medidas-matriciales-y-polinomios-ortogonales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/perturbaciones-de-medidas-matriciales-y-polinomios-ortogonales\/","title":{"rendered":"Perturbaciones de medidas matriciales y polinomios ortogonales"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Hossain Oulad Yakhlef <\/strong><\/h2>\n<p>I en la recta real.  sean $dalpha$ y $d_x0008_eta$ dos medidas matriciales definidas en la recta real, y $m $ es una matriz definida positiva, tal que [d_x0008_eta(u)=dalpha(u)+mdelta(u-c),] donde $delta$ es la medida matricial de dirac.  sea $(p_n(x,dalpha)= gamma_n(dalpha)x^n+cdots)_$ la sucesi\u00f3n de polinomios ortonormales con respecto a la medida matricial $dalpha$, y sea $(p_n(x,d_x0008_eta))_n,$ la sucesi\u00f3n de polinomios ortonormales con respecto a la medida, se ha encontrado:  1. La asint\u00f3nica del cociente de los coeficientes principales de los polinomios ortonormales con respecto a la medida matricial $d_x0008_eta $m y de los coeficientes principales de los polinomios ortonormales con respecto a la medida matricial $dalpha. $  2. La asint\u00f3tica del cociente de los polinomios ortonormales con respecto a la medida matricial $d_x0008_eta y $, y de los polinomios ortonormales con respecto a la medida matricial $dalpha $.  3. La asint\u00f3tica del producto de los polinomios ortonormales con respecto a la medida matricial $d_x0008_eta $, y de los polinomios ortonormales con respecto a la medida matricial $dalpha$.  4. El comportamiento asint\u00f3tico de los coeficientes matriciales en la relaci\u00f3n de recurrencia a tres t\u00e9rminos, bajo perturbaci\u00f3n de la medida matricial asociada.  ii en la circunferencia unidad.  sean $domega$ y $dwidetilde{omega}$ dos medidas matriciales definidas en el plano de los complejos, y $m$ es una matriz definida positiva tal que [dwidetilde{omega}(z)= domega(z)+ m ,delta(z-w), w geg 1 ] donde $delta$ es la medida matricial de dirac.  en la segunda parte de esta memoria se ha obtenido:  1. La asint\u00f3tica del cociente de los coeficientes principales de los polinomios ortonormales con respecto a la medida matricial $dwidetilde{omega}$, y de los coeficientes principales de los polinomios ortonormales con rspecto a la medida matricial $domega $.  2. La asint\u00f3tica del cociente de los polinomios ortonorma<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Perturbaciones de medidas matriciales y polinomios ortogonales<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Perturbaciones de medidas matriciales y polinomios ortogonales <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Hossain Oulad Yakhlef <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 03\/07\/2000<\/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: Antonio Dur\u00e1n guarde\u00f1o <\/li>\n<li>Juan  Andr\u00e9s Ramirez gonzalez (vocal)<\/li>\n<li>walter Van assche (vocal)<\/li>\n<li>lucas J\u00f3dar (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Hossain Oulad Yakhlef I en la recta real. sean $dalpha$ y $d_x0008_eta$ dos medidas matriciales definidas 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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