{"id":20955,"date":"2018-01-15T23:34:25","date_gmt":"2018-01-15T23:34:25","guid":{"rendered":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/pracoviska\/umv\/vv\/hov\/anal\/"},"modified":"2022-11-13T21:34:22","modified_gmt":"2022-11-13T20:34:22","slug":"anal","status":"publish","type":"cpt_pracoviska","link":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/pracoviska\/ustavy-pf\/umat\/vv\/hov\/anal\/","title":{"rendered":"Anal\u00fdza"},"content":{"rendered":"<p style=\"text-align: justify;\"><strong><span style=\"font-family:arial,sans-serif; font-size:10pt; mso-bidi-font-size:12.0pt\"><font color=\"#000000\">Vedeck\u00e1 \u010dinnos\u0165 je zameran\u00e1 na nasleduj\u00face oblasti:<\/font><\/span><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"font-family:arial,sans-serif; font-size:10pt; mso-bidi-font-size:12.0pt\"><font color=\"#000000\">Kvalitat\u00edvna te\u00f3ria diferenci\u00e1lnych rovn\u00edc.<\/font><\/span><\/strong><span style=\"font-family:arial,sans-serif; font-size:10pt; mso-bidi-font-size:12.0pt\"><font color=\"#000000\"> Vy\u0161etruj\u00fa sa vlastnost\u00ed rie\u0161en\u00ed, ako s\u00fa oscilatori\u010dnos\u0165, ohrani\u010denos\u0165, konvergencia\u00a0 a pod., r\u00f4znych typov diferenci\u00e1lnych rovn\u00edc a ich syst\u00e9mov.<\/font><\/p>\n<p> <strong><span style=\"font-family:arial,sans-serif\"><font color=\"#000000\">Harmonick\u00e1 a funkcion\u00e1lna anal\u00fdza.<\/font><\/span><\/strong><font color=\"#000000\"> Vy\u0161etruj\u00fa sa dva okruhy probl\u00e9mov &#8211; lebesgueovsk\u00e9 integrovanie a jeho zov\u0161eobecnenia na vektorov\u00e9 funkcie a miery (Banachove priestory a lok\u00e1lne konvexn\u00e9 priestory s \u010fal\u0161\u00edmi \u0161trukt\u00farami). Druhou oblas\u0165ou s\u00fa wavelety (a v\u0161eobecnej\u0161ie koherentn\u00e9 stavy), kde\u00a0 je v\u00fdskum zameran\u00fd na rie\u0161enie ot\u00e1zok s\u00favisiacich s oper\u00e1tormi zalo\u017een\u00fdmi na waveletoch, \u010dasovo-frekven\u010dn\u00fdmi oper\u00e1tormi a sk\u00faman\u00ed symbolov tak\u00fdchto integr\u00e1lnych oper\u00e1torov v r\u00f4znych funkcion\u00e1lnych priestoroch.<\/font><\/span><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":20953,"menu_order":1,"template":"","meta":{"_acf_changed":false,"_editorskit_title_hidden":false,"_editorskit_reading_time":0,"_editorskit_is_block_options_detached":false,"_editorskit_block_options_position":"{}"},"categories":[],"tags":[],"tax_aktuality":[],"class_list":["post-20955","cpt_pracoviska","type-cpt_pracoviska","status-publish","hentry"],"acf":{"acf_link_na_externy_obsah":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Anal\u00fdza - Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/pracoviska\/ustavy-pf\/umat\/vv\/hov\/anal\/\" \/>\n<meta property=\"og:locale\" content=\"sk_SK\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Anal\u00fdza - Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160\" \/>\n<meta property=\"og:description\" content=\"Vedeck\u00e1 \u010dinnos\u0165 je zameran\u00e1 na nasleduj\u00face oblasti: Kvalitat\u00edvna te\u00f3ria diferenci\u00e1lnych rovn\u00edc. 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