{"id":64205,"date":"2018-03-09T22:52:11","date_gmt":"2018-03-09T22:52:11","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sampling-sequences-in-spaces-of-bandlimited-functions-in-several-variables\/"},"modified":"2018-03-09T22:52:11","modified_gmt":"2018-03-09T22:52:11","slug":"sampling-sequences-in-spaces-of-bandlimited-functions-in-several-variables","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/barcelona\/sampling-sequences-in-spaces-of-bandlimited-functions-in-several-variables\/","title":{"rendered":"Sampling sequences in spaces of bandlimited functions in several variables"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jordi Marzo S\u00e1nchez <\/strong><\/h2>\n<p>En esta tesis se estudian las sucesiones de muestreo e interpolaci\u00f3n para diferentes espacios de funciones. En primer cap\u00edtulo el espacio el de las funciones anal\u00edticas del espacio de paley-wiener. Se demuestra que para las funciones con soporte en una uni\u00f3n de trasladados de un mismo cubo, existen siempre sucesiones a la vez de muestreo e interpolaci\u00f3n. Este resultado permite demostrar que los resultados de densidad de h. J. Landau no pueden ser mejorados. en el segundo cap\u00edtulo se estudian varios aspectos de las llamadas desigualdades de marchinkiewicz-zigmund en el c\u00edrculo. En particular, se demuestran algunos resultados sobre perturbaciones de estas familias similares a los teoremas de kadets y avdonin para el espacio de paley-wiener del intervalo. en el tercer cap\u00edtulo se estudia la generalizaci\u00f3n de estas desigualdades de marcinkiewickz-zygmund a la esfera. Se demuestra que no hay bases ortonormales de nucleos reproductores. Tambi\u00e9n se dan condiciones necesarias para el muestreo y la interpolaci\u00f3n en funci\u00f3n de ciertas densidades. Se obtiene una condici\u00f3n suficiente para la validez de las desigualdades de marcinkiewicz-zygmund en funci\u00f3n de la norma de malla (mesh norm). Finalmente, se demuestra que no hay familias de puntos en la esfera que cumplan a la vez las condiciones de muestreo o interpolaci\u00f3n en el caso no hilbertiano.. en el cuarto y \u00faltimo cap\u00edtulo se demuestran varios resultados sobre comparaci\u00f3n de normas respecto de medidas doblantes (teoremas de tipo logvinenko-sereda) para los espacios de arm\u00f3nicos esf\u00e9ricos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sampling sequences in spaces of bandlimited functions in several variables<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sampling sequences in spaces of bandlimited functions in several variables <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jordi Marzo S\u00e1nchez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 25\/04\/2008<\/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>Joaquim Ortega Cerd\u00e1<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Mar\u00eda j. Carro rosell <\/li>\n<li>pascal Thomas (vocal)<\/li>\n<li>kristian Selp (vocal)<\/li>\n<li>joaquim Bruna floris (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jordi Marzo S\u00e1nchez En esta tesis se estudian las sucesiones de muestreo e interpolaci\u00f3n para diferentes espacios [&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":[5924,951,32592,37498,141689],"tags":[37501,141691,141690,141693,141692,90470],"class_list":["post-64205","post","type-post","status-publish","format-standard","hentry","category-analisis-armonico","category-barcelona","category-convexidad-y-desigualdades","category-funciones-de-una-variable-compleja","category-series-e-integrales-trigonometricas","tag-joaquim-bruna-floris","tag-joaquim-ortega-cerda","tag-jordi-marzo-sanchez","tag-kristian-selp","tag-maria-j-carro-rosell","tag-pascal-thomas"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/64205","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=64205"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/64205\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=64205"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=64205"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=64205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}