{"id":215,"date":"2014-02-09T08:48:44","date_gmt":"2014-02-09T08:48:44","guid":{"rendered":"http:\/\/centralbaku.com\/imm\/?page_id=215"},"modified":"2023-02-07T11:55:54","modified_gmt":"2023-02-07T07:55:54","slug":"qeyri-harmonik-analiz-sob%c9%99si","status":"publish","type":"page","link":"https:\/\/www.imm.az\/exp\/sob%c9%99l%c9%99r\/qeyri-harmonik-analiz-sob%c9%99si\/","title":{"rendered":"Qeyri harmonik analiz \u015f\u00f6b\u0259si"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3841\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2014\/02\/Qeyri_harmonik_analiz.jpg\" alt=\"Qeyri_harmonik_analiz\" width=\"600\" height=\"400\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2014\/02\/Qeyri_harmonik_analiz.jpg 600w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2014\/02\/Qeyri_harmonik_analiz-300x200.jpg 300w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/p>\n<table style=\"border: none;\" border=\"0\" width=\"100%\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td valign=\"top\" width=\"193\"><strong>Struktur b\u00f6lm\u0259nin r\u0259hb\u0259ri:<\/strong><\/td>\n<td>Bilal Telman o\u011flu Bilalov<br \/>\nAMEA-n\u0131n m\u00fcbir \u00fczvi, fizika-riyaziyyat elml\u0259ri doktoru, professor<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong>Tel:<\/strong><\/td>\n<td>(+994 12)\u00a0 5387250<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong>E-mail:<\/strong><\/td>\n<td><a href=\"mailto:bilalov.bilal@gmail.com\">bilalov.bilal@gmail.com<\/a>\u00a0,\u00a0<a href=\"mailto:bilal.bilalov@imm.az\">bilal.bilalov@imm.az<\/a><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong>\u0130\u015f\u00e7il\u0259rin \u00fcmumi say\u0131:<\/strong><\/td>\n<td>24<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong>Struktur b\u00f6lm\u0259nin \u0259sas f\u0259aliyy\u0259t istiqam\u0259tl\u0259ri:<\/strong><\/td>\n<td style=\"text-align: justify;\">Qeyri harmonik Furye s\u0131ralar\u0131; x\u0259tti topoloji f\u0259zalarda bazis m\u0259s\u0259l\u0259l\u0259ri; \u00fcstl\u00fc sisteml\u0259rin funksional f\u0259zalarda bazislik xass\u0259l\u0259ri; adi diskret diferensial operatorlar\u0131n spektral xass\u0259l\u0259ri; freym n\u0259z\u0259riyy\u0259si-veyvlet analiz v\u0259 t\u0259tbiql\u0259ri; maliyy\u0259 (risk v\u0259 ya aktuar) riyaziyyat\u0131, obrazlar\u0131n tan\u0131nmas\u0131.<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong>Struktur b\u00f6lm\u0259nin \u0259sas elmi n\u0259tic\u0259l\u0259ri:<\/strong><\/td>\n<td>\n<ul>\n<li>diferensial operatorlar\u0131n spektral n\u0259z\u0259riyy\u0259sind\u0259 m\u0259lum Kostyu\u00e7enko m\u0259s\u0259l\u0259si tam h\u0259ll olunmu\u015fdur;<\/li>\n<li>bazis haqq\u0131nda klassik Peli-Viner v\u0259 Bari teoreml\u0259rinin elementl\u0259r sisteml\u0259ri v\u0259 ya altf\u0259zalar sisteml\u0259ri \u00fc\u00e7\u00fcn m\u00fcxt\u0259lif \u00fcmumil\u0259\u015fm\u0259l\u0259ri al\u0131nm\u0131\u015fd\u0131r;<\/li>\n<li>m\u00fc\u0259yy\u0259n asimptotikaya malik triqonometrik sisteml\u0259rin Lebeq f\u0259zalar\u0131nda bazis (Hilbert hal\u0131nda Riss bazisi) olmalar\u0131 \u00fc\u00e7\u00fcn meyar al\u0131nm\u0131\u015fd\u0131r;<\/li>\n<li>m\u00fc\u0259yy\u0259n \u015f\u0259rtl\u0259ri \u00f6d\u0259y\u0259n bix\u0259tti inikas\u0131n vasit\u0259si il\u0259 klassik \u015eauder bazisinin \u201cb- bazis\u201d \u00fcmumil\u0259\u015fm\u0259si verilmi\u015f v\u0259 \u201c b-bazis\u201d-l\u0259r \u00fc\u00e7\u00fcn klassik bazis n\u0259z\u0259riyy\u0259sinin m\u00fch\u00fcm teoreml\u0259rinin do\u011frulu\u011fu isbat olunmu\u015fdur;<\/li>\n<li>sonsuz defektli sisteml\u0259rin Banax f\u0259zas\u0131n\u0131n m\u00fc\u0259yy\u0259n altf\u0259zalar\u0131nda bazis olmalar\u0131 \u00fc\u00e7\u00fcn m\u00fch\u00fcm n\u0259tic\u0259l\u0259r al\u0131nm\u0131\u015f, klassik Laks-Milqram teoreminin Banax analoqlar\u0131 verilmi\u015fdir;<\/li>\n<li>m\u0259\u015fhur Stoun-Veyer\u015ftrass teoreminin m\u00fch\u00fcm kompleks analoqlar\u0131 al\u0131nm\u0131\u015f v\u0259 bu n\u0259tic\u0259l\u0259r hiss\u0259-hiss\u0259 k\u0259silm\u0259z funksiyalar f\u0259zas\u0131 hal\u0131na k\u00f6\u00e7\u00fcr\u00fclm\u00fc\u015fd\u00fcr;<\/li>\n<li>x\u0259tti fazaya malik triqonometrik sisteml\u0259rin d\u0259yi\u015f\u0259n d\u0259r\u0259c\u0259li Lebeq f\u0259zalar\u0131nda bazislik xass\u0259l\u0259ri \u00f6yr\u0259nilmi\u015fdir;<\/li>\n<li>diferensial operatorlar\u0131n m\u0259xsusi v\u0259 qo\u015fma sisteml\u0259rinin bazislik, birg\u0259y\u0131\u011f\u0131lma, m\u00fcnt\u0259z\u0259m v\u0259 m\u00fctl\u0259q y\u0131\u011f\u0131lma m\u0259s\u0259l\u0259l\u0259ri \u00fczr\u0259 m\u00fch\u00fcm n\u0259tic\u0259l\u0259r al\u0131nm\u0131\u015fd\u0131r;<\/li>\n<li>\u00e7\u0259kili Sobolev f\u0259zalar\u0131nda k\u0259sil\u0259n \u0259msall\u0131 abstrakt diferensial t\u0259nlikl\u0259rin h\u0259ll\u0259rinin t\u0259snifat\u0131 verilmi\u015f, onlar\u0131n varl\u0131\u011f\u0131 v\u0259 yegan\u0259liyi \u00f6yr\u0259nilmi\u015fdir;<\/li>\n<li>k\u0259sil\u0259n diferensial operatorlar \u00fc\u00e7\u00fcn s\u0259rh\u0259d \u015f\u0259rtl\u0259rinin requlyarl\u0131\u011f\u0131 anlay\u0131\u015f\u0131 daxil edilmi\u015f, requlyar s\u0259rh\u0259d m\u0259s\u0259l\u0259l\u0259rinin m\u0259xsusi v\u0259 qo\u015fma funksiyalar sisteminin f\u0259zas\u0131nda bazisliyi haqq\u0131nda teoreml\u0259r isbat edilmi\u015fdir;<\/li>\n<li>k\u0259sil\u0259n diferensial operatorlar\u0131n k\u0259sr d\u0259r\u0259c\u0259l\u0259rinin t\u0259sviri haqq\u0131nda n\u0259tic\u0259l\u0259r alm\u0131\u015fd\u0131r, s\u0259rh\u0259d \u015f\u0259rtin\u0259 spektral parametr daxil olan spektral m\u0259s\u0259l\u0259l\u0259rin Lp+Cm v\u0259 Lp f\u0259zalar\u0131nda bazisliyini t\u0259dqiq etm\u0259k \u00fc\u00e7\u00fcn abstrakt teoreml\u0259r isbat edilmi\u015f v\u0259 onlar\u0131n bir s\u0131ra t\u0259tbiql\u0259rini g\u00f6st\u0259rmi\u015fdir;<\/li>\n<li>Banax f\u0259zalar\u0131n\u0131n d\u00fcz c\u0259mind\u0259 bazis olma\u011f\u0131n yeni \u00fcsulu v\u0259 onlar\u0131n t\u0259tbiql\u0259ri verilmi\u015fdir;<\/li>\n<li>\u00e7oxh\u0259dli tipli h\u0259y\u0259canlanmaya malik triqonometrik sisteml\u0259rin f\u0259zalar\u0131nda bazis olmalar\u0131 \u00fc\u00e7\u00fcn meyar tap\u0131lm\u0131\u015fd\u0131r.;<\/li>\n<li>triqonometrik tip sisteml\u0259rin \u043a\u0259sil\u0259n funksiyalar\u0131n Banax f\u0259zalar\u0131nda bazislik xass\u0259l\u0259ri \u00f6yr\u0259nilmi\u015fdir;<\/li>\n<li>Riman s\u0259rh\u0259d m\u0259s\u0259l\u0259sinin bir abstrakt analoquna bax\u0131lm\u0131\u015f, onun n\u00f6terliyi \u00f6yr\u0259nilmi\u015f v\u0259 al\u0131nan n\u0259tic\u0259l\u0259r bazislik m\u0259s\u0259l\u0259l\u0259rin\u0259 t\u0259tbiq edilmi\u015fdir;<\/li>\n<li>m\u00fc\u0259yy\u0259n k\u0259sil\u0259n adi diferensial operatorlar\u0131n m\u0259xsusi v\u0259 qo\u015fma elementl\u0259rinin Lebeq f\u0259zalar\u0131nda bazisliyi \u00f6yr\u0259nilmi\u015fdir; \u201cKadets\u201d teoreminin kosinus, sinis v\u0259 m\u00fc\u0259yy\u0259n abstrakt analoqlar\u0131 al\u0131nm\u0131\u015fd\u0131r;<\/li>\n<li>klassik eksponent, kosinus v\u0259 sinus sisteml\u0259rinin abstrakt analoqlar\u0131 daxil edilmi\u015f, Banax f\u0259zalar\u0131nda onlar\u0131n bazislik xass\u0259l\u0259ri aras\u0131nda \u0259laq\u0259 tap\u0131lm\u0131\u015fd\u0131r;<\/li>\n<li>c\u0131rla\u015fmayan sisteml\u0259rin do\u011furdu\u011fu \u0259msallar f\u0259zas\u0131 m\u00fcxt\u0259lif riyazi strukturlara k\u00f6\u00e7\u00fcr\u00fclm\u00fc\u015f, nilpotent v\u0259 idempotent operatorlar\u0131n do\u011furdu\u011fu analitik funksiyalar n\u0259z\u0259riyy\u0259sinin \u00fcmumil\u0259\u015fm\u0259l\u0259ri verilmi\u015f v\u0259 uy\u011fun bazis anlay\u0131\u015flar\u0131 daxil edilmi\u015fdir;<\/li>\n<li>Karleson \u0259yrisi \u00fcz\u0259rind\u0259 kompleks \u0259msall\u0131 \u00fcmumil\u0259\u015fmi\u015f Faber \u00e7oxh\u0259dlil\u0259rind\u0259n ibar\u0259t ikiqat sisteml\u0259rin Lebeq f\u0259zalar\u0131nda bazislik xass\u0259l\u0259ri \u00f6yr\u0259nilmi\u015fdir;<\/li>\n<li>Hilbert v\u0259 Banax freyml\u0259rinin n\u00f6ter h\u0259y\u0259canlanmalar\u0131 \u00f6yr\u0259nilmi\u015f, Hilbert tenzor hasilinin do\u011furdu\u011fu t-freym anlay\u0131\u015f\u0131 daxil edilmi\u015f v\u0259 onlar\u0131n n\u00f6ter h\u0259y\u0259canlanmalar\u0131 \u00f6yr\u0259nilmi\u015fdir;<\/li>\n<li>klassik eksponent sisteminin Morri tip f\u0259zalarda bazisliyi isbat edilmi\u015f; h\u0259y\u0259canlanm\u0131\u0131\u015f triqonometrik sisteml\u0259rin \u00e7\u0259kili \u00fcmumil\u0259\u015fmi\u015f Lebeq f\u0259zalar\u0131nda bazislik xass\u0259l\u0259ri \u00f6yr\u0259nilmi\u015fdir;<\/li>\n<li>statistik y\u0131\u011f\u0131lma anlay\u0131\u015f\u0131 m\u00fcxt\u0259lif riyazi strukturlara k\u00f6\u00e7\u00fcr\u00fclm\u00fc\u015f, \u00f6l\u00e7\u00fcl\u0259n f\u0259zada n\u00f6qt\u0259d\u0259 -statistik y\u0131\u011f\u0131lma v\u0259 -statistik fundamentall\u0131q anlay\u0131\u015f\u0131 daxil edilmi\u015f v\u0259 onlar\u0131n ekvivalentliyi isbat edilmi\u015fdir;<\/li>\n<li>sonsuzluqda -statistik limit, -statistik doluluq, -statistik fundamentall\u0131q, funksiyalar\u0131n sonsuzluqda &#8211; statistik ekvivalentliyi, -statistik k\u0259silm\u0259zlik anay\u0131\u015flar\u0131 daxil edilmi\u015f v\u0259 m\u00fc\u0259yy\u0259n xass\u0259l\u0259ri \u00f6yr\u0259nilmi\u015fdir;<\/li>\n<li>h\u0259y\u0259canlanm\u0131\u015f triqonometrik sisteml\u0259rin \u00fcmumil\u0259\u015fmi\u015f v\u0259 \u00e7\u0259kili \u00fcmumil\u0259\u015fmi\u015f Lebeq f\u0259zalar\u0131nda bazislik xass\u0259l\u0259ri \u00f6yr\u0259nilmi\u015fdir;<\/li>\n<li>G\u00fcn\u0259\u015f radiasiya siqnallar\u0131 (c\u0259m, s\u0259p\u0259l\u0259n\u0259n v\u0259 \u0259ks olunan) veyvlet analiz \u00fcsulu il\u0259 emal olunmu\u015fdur.<\/li>\n<\/ul>\n<ul>\n<li><strong><a href=\"https:\/\/www.imm.az\/exp\/n%C9%99srl%C9%99r-2021\/\">N\u0259\u015frl\u0259r &#8211; 2021<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.imm.az\/exp\/n%c9%99srl%c9%99r-2020\/\">N\u0259\u015frl\u0259r &#8211; 2020<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.imm.az\/exp\/n%C9%99srl%C9%99r-2019\/\">N\u0259\u015frl\u0259r &#8211; 2019<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.imm.az\/exp\/n%C9%99srl%C9%99r-2018\/\">N\u0259\u015frl\u0259r &#8211; 2018<\/a><\/strong><\/li>\n<li><a href=\"\/exp\/?page_id=15700\"><strong>N\u0259\u015frl\u0259r \u2013 2017<\/strong><\/a><\/li>\n<li><a href=\"\/exp\/?page_id=9642\"><strong>N\u0259\u015frl\u0259r \u2013 2016<\/strong><\/a><\/li>\n<li><a href=\"\/exp\/?page_id=4830\"><strong>N\u0259\u015frl\u0259r \u2013 2015<\/strong><\/a><\/li>\n<li><a href=\"\/exp\/?page_id=4420\"><strong>N\u0259\u015frl\u0259r \u2013 2014<\/strong><\/a><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Struktur b\u00f6lm\u0259nin r\u0259hb\u0259ri: Bilal Telman o\u011flu Bilalov AMEA-n\u0131n m\u00fcbir \u00fczvi, fizika-riyaziyyat elml\u0259ri doktoru, professor Tel: (+994 12)\u00a0 5387250 E-mail: bilalov.bilal@gmail.com\u00a0,\u00a0bilal.bilalov@imm.az \u0130\u015f\u00e7il\u0259rin \u00fcmumi say\u0131: 24 Struktur b\u00f6lm\u0259nin \u0259sas f\u0259aliyy\u0259t istiqam\u0259tl\u0259ri: Qeyri harmonik Furye s\u0131ralar\u0131; x\u0259tti topoloji f\u0259zalarda bazis m\u0259s\u0259l\u0259l\u0259ri; \u00fcstl\u00fc sisteml\u0259rin funksional f\u0259zalarda bazislik xass\u0259l\u0259ri; adi diskret diferensial operatorlar\u0131n spektral xass\u0259l\u0259ri; freym n\u0259z\u0259riyy\u0259si-veyvlet analiz v\u0259 t\u0259tbiql\u0259ri; [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":203,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/215"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=215"}],"version-history":[{"count":5,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/215\/revisions"}],"predecessor-version":[{"id":43054,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/215\/revisions\/43054"}],"up":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/203"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=215"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}