{"id":10336,"date":"2017-02-08T16:43:22","date_gmt":"2017-02-08T12:43:22","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=10336"},"modified":"2017-02-08T14:44:08","modified_gmt":"2017-02-08T10:44:08","slug":"the-institute-seminar-on-properties-of-hilbert-transforms","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2017\/02\/08\/the-institute-seminar-on-properties-of-hilbert-transforms\/","title":{"rendered":"The Institute seminar \u201cOn properties of Hilbert transforms\u201d"},"content":{"rendered":"<p style=\"text-align: justify;\">Today, at the institute seminar the leading research associate of \u201cFunctions Theory\u201d department, cand. of phys. math. sci. Rashid Avazaga oglu Aliyev gave a talk \u201cOn properties of Hilbert transforms\u201d. The talk deals with properties of Hilbert transform of finite complex measure. Asymptotic equalities for distribution function of Hilbert transform of finite complex measure were given and the Riesz equality is represented by using the generalization of the Lebesgue integral, the Q-integral notion.<br \/>\nSome properties of Hilbert transform are given. Using the generalized summation notion, the summation formula for discrete Hilbert transform of sequences in class is given.<\/p>\n<div class='entry-gallery'><div id=\"carousel-1\" class=\"single-carousel carousel slide carousel-10336\" 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><\/ol><div class='carousel-inner'><div class=\"carousel-item item active\"><a href='https:\/\/www.imm.az\/exp\/2017\/02\/08\/hilbert-cevirm%c9%99sinin-xass%c9%99l%c9%99ri-haqqinda-movzusunda-umuminstitut-seminari-kecirilib\/08-02-2017-1\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/02\/08.02.2017.1.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"Riyaziyyat v\u0259 Mexanika \u0130nstitutu\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/02\/08.02.2017.1.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/02\/08.02.2017.1-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2017\/02\/08\/hilbert-cevirm%c9%99sinin-xass%c9%99l%c9%99ri-haqqinda-movzusunda-umuminstitut-seminari-kecirilib\/08-02-2017-2\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/02\/08.02.2017.2.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"Riyaziyyat v\u0259 Mexanika \u0130nstitutu\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/02\/08.02.2017.2.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/02\/08.02.2017.2-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2017\/02\/08\/hilbert-cevirm%c9%99sinin-xass%c9%99l%c9%99ri-haqqinda-movzusunda-umuminstitut-seminari-kecirilib\/08-02-2017-3\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/02\/08.02.2017.3.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"Riyaziyyat v\u0259 Mexanika \u0130nstitutu\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/02\/08.02.2017.3.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/02\/08.02.2017.3-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2017\/02\/08\/hilbert-cevirm%c9%99sinin-xass%c9%99l%c9%99ri-haqqinda-movzusunda-umuminstitut-seminari-kecirilib\/08-02-2017-4\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/02\/08.02.2017.4.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/02\/08.02.2017.4.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/02\/08.02.2017.4-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><\/div>\n<a class=\"carousel-control-prev\" href=\"#carousel-1\" role=\"button\" data-slide=\"prev\">\n    <span class=\"carousel-control-prev-icon\" aria-hidden=\"true\"><\/span>\n    <span class=\"sr-only\">Previous<\/span>\n  <\/a>\n\n      <a class=\"carousel-control-next\" href=\"#carousel-1\" role=\"button\" data-slide=\"next\">\n    <span class=\"carousel-control-next-icon\" aria-hidden=\"true\"><\/span>\n    <span class=\"sr-only\">Next<\/span>\n  <\/a>\n    \n    <\/div><\/div>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Today, at the institute seminar the leading research associate of \u201cFunctions Theory\u201d department, cand. of phys. math. sci. Rashid Avazaga oglu Aliyev gave a talk \u201cOn properties of Hilbert transforms\u201d. The talk deals with properties of Hilbert transform of finite complex measure. Asymptotic equalities for distribution function of Hilbert transform of finite complex measure were [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[85,88],"tags":[],"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/10336"}],"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=10336"}],"version-history":[{"count":1,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/10336\/revisions"}],"predecessor-version":[{"id":10337,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/10336\/revisions\/10337"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=10336"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=10336"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=10336"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}