{"id":41694,"date":"2022-09-21T14:16:06","date_gmt":"2022-09-21T10:16:06","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=41694"},"modified":"2022-09-21T23:33:07","modified_gmt":"2022-09-21T19:33:07","slug":"a-senior-researcher-of-the-department-function-theory-rashid-avazaga-oglu-aliev-gave-a-talk-some-properties-of-discrete-analogues-of-singular-integral-transforms","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2022\/09\/21\/a-senior-researcher-of-the-department-function-theory-rashid-avazaga-oglu-aliev-gave-a-talk-some-properties-of-discrete-analogues-of-singular-integral-transforms\/","title":{"rendered":"A senior researcher of the department \u201cFunction Theory\u201d Rashid Avazaga oglu Aliev gave a talk \u201cSome properties of discrete analogues of singular integral transforms&#8221;"},"content":{"rendered":"<p>Today the regular Institute seminar was held. In the seminar of the Institute of Mathematics and Mechanics of ANAS a senior researcher of the department \u201cFunction Theory\u201d&nbsp;Rashid Avazaga oglu Aliev&nbsp;gave a talk <strong>\u201cSome properties of discrete analogues of singular integral transforms\u201d<\/strong><\/p>\n<p>The report is devoted to the properties of discrete analogues of the Hilbert transform and the Ahlfors-Beurling transform, which are the main integral transforms of the theory of functions of real and complex variables. The boundedness and summability theorems for discrete Hilbert and Ahlfors-Beurling transforms in some function spaces are noted and their applications are shown.<\/p>\n<div class='entry-gallery'><div id=\"carousel-1\" class=\"single-carousel carousel slide carousel-41694\" data-ride=\"carousel\"><ol class='carousel-indicators'><li data-target=\"#carousel-1\" data-slide-to=\"0\" class=\"active\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"1\" class=\"\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"2\" class=\"\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"3\" class=\"\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"4\" class=\"\"><\/li><\/ol><div class='carousel-inner'><div class=\"carousel-item item active\"><a href='https:\/\/www.imm.az\/exp\/2022\/09\/21\/a-senior-researcher-of-the-department-function-theory-rashid-avazaga-oglu-aliev-gave-a-talk-some-properties-of-discrete-analogues-of-singular-integral-transforms\/img-20220921-wa0004-2\/'><img loading=\"lazy\" decoding=\"async\" width=\"473\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0004-1.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0004-1.jpg 1080w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0004-1-300x222.jpg 300w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0004-1-1024x758.jpg 1024w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0004-1-768x568.jpg 768w\" sizes=\"(max-width: 473px) 100vw, 473px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2022\/09\/21\/a-senior-researcher-of-the-department-function-theory-rashid-avazaga-oglu-aliev-gave-a-talk-some-properties-of-discrete-analogues-of-singular-integral-transforms\/img-20220921-wa0003-2\/'><img loading=\"lazy\" decoding=\"async\" width=\"414\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0003-1.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0003-1.jpg 945w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0003-1-300x253.jpg 300w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0003-1-768x649.jpg 768w\" sizes=\"(max-width: 414px) 100vw, 414px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2022\/09\/21\/a-senior-researcher-of-the-department-function-theory-rashid-avazaga-oglu-aliev-gave-a-talk-some-properties-of-discrete-analogues-of-singular-integral-transforms\/img-20220921-wa0002-2\/'><img loading=\"lazy\" decoding=\"async\" width=\"389\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0002-1.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0002-1.jpg 900w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0002-1-300x270.jpg 300w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0002-1-768x690.jpg 768w\" sizes=\"(max-width: 389px) 100vw, 389px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2022\/09\/21\/a-senior-researcher-of-the-department-function-theory-rashid-avazaga-oglu-aliev-gave-a-talk-some-properties-of-discrete-analogues-of-singular-integral-transforms\/img-20220921-wa0001-2\/'><img loading=\"lazy\" decoding=\"async\" width=\"405\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0001-1.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2022\/09\/IMG-20220921-WA0001-1.jpg 937w, 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Citing to www.imm.az is necessary upon using news<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Today the regular Institute seminar was held. In the seminar of the Institute of Mathematics and Mechanics of ANAS a senior researcher of the department \u201cFunction Theory\u201d&nbsp;Rashid Avazaga oglu Aliev&nbsp;gave a talk \u201cSome properties of discrete analogues of singular integral transforms\u201d The report is devoted to the properties of discrete analogues of the Hilbert transform [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":41728,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[130],"tags":[],"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/41694"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/post"}],"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=41694"}],"version-history":[{"count":5,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/41694\/revisions"}],"predecessor-version":[{"id":41730,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/41694\/revisions\/41730"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media\/41728"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=41694"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=41694"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=41694"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}