{"id":33822,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/ortogonalidad-no-estandar-para-familias-de-polinomios-clasicos\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"ortogonalidad-no-estandar-para-familias-de-polinomios-clasicos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/ortogonalidad-no-estandar-para-familias-de-polinomios-clasicos\/","title":{"rendered":"\u00abortogonalidad no estandar para familias de polinomios clasicos\u00bb"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Alvarez De Morales Mercado Mar\u00eda <\/strong><\/h2>\n<p>La memoria est\u00e1 dividida en siete cap\u00edtulos, de extensi\u00f3n similar, donde los cuatro primeros contituyen una parte bien diferenciada de los tres \u00faltimos. En la primera parte estudia las sucesiones de polinomios ortogonales asociados a productos escalares de sobolev. La segunda parte est\u00e1 dedicada al caso discreto. En este caso el producto escalar se define en funci\u00f3n del operador en diferencias hacia delante delta, que se llaman por la autora productos escalares delta-sobolev (por analog\u00eda con el caso continuo).  se observa un avance significativo en este campo de investigaci\u00f3n, ya que presenta aportaciones importantes.  por ejemplo, se hace un estudio completo para ciertos productos escalares de sobolev asociados a un funcional semicl\u00e1sico y definido positivo. Se obtiene un operador diferencial lineal, sim\u00e9trico con respecto al producto escalar, que permite expresar este producto escalar en t\u00e9rminos del funcional semicl\u00e1sico. Consigue condiciones necesarias en un caso particular para que el operador lineal no aumente el grado de los polinomios a los que se aplica. Aportaciones en igual sentido obtiene para el caso discreto. Por otra parte dota de propiedades de ortogonalidad no est\u00e1ndar a familias de polinomios cl\u00e1sicos, tales como los polinomios de laguerre y a la familia de polinomios de gegenbauer. Tambi\u00e9n dota de ortogonalidad no est\u00e1ndar a la familia de los polinomios discretos de meixner demostrando que \u00e9stos son ortogonales con respecto a un producto escalar delta-sobolev.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>\u00abortogonalidad no estandar para familias de polinomios clasicos\u00bb<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 \u00abortogonalidad no estandar para familias de polinomios clasicos\u00bb <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Alvarez De Morales Mercado Mar\u00eda <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1998<\/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> Perez Fernandez Teresa Encarnacion<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco Marcellan Espa\u00f1ol <\/li>\n<li> Rezola Solana Mar\u00eda  Luisa (vocal)<\/li>\n<li>Jes\u00fas S\u00e1nchez Dehesa Moreno Cid (vocal)<\/li>\n<li>Andrei Martinez Finkelshtein (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Alvarez De Morales Mercado Mar\u00eda La memoria est\u00e1 dividida en siete cap\u00edtulos, de extensi\u00f3n similar, donde los [&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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