{"id":2230,"date":"2014-06-03T14:40:19","date_gmt":"2014-06-03T09:40:19","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=2230"},"modified":"2014-06-03T14:40:19","modified_gmt":"2014-06-03T09:40:19","slug":"attention-2","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2014\/06\/03\/attention-2\/","title":{"rendered":"ATTENTION"},"content":{"rendered":"<p style=\"text-align: justify;\">Weekly seminar on June 04, 2014, 10.00 a.m. will feature a report\u00a0 by\u00a0 Miqdad \u00a0Imdad oglu Ismailov, senior research worker of the Department of\u00a0 Non-Harmonic Analysis, entitled\u00a0 \u201cOn a generalization of frame and stability of it\u201d.<\/p>\n<p style=\"text-align: justify;\">Recently, from a practical point of view, the interest in frames greatly increased. Recall that the frames were introduced Duffin and Schaeffer in1952 to study the deep problems of nonharmonic analysis. A lot of work of\u00a0\u00a0P. Casazza, O. Christensen, R. Balan, A. Aldrobi and others were devoted to frames.\u00a0 G . Gr\u00f6chenig extended the\u00a0 concepts of frame for Banach spaces and introduced the notion of atomic decomposition and Banach frame. There are generalizations of the frame in Hilbert and Banach spaces, such as g-frames , x<sub>d<\/sub>-frames ,g -Banach frames. An important issue is the stability study of frames and frame recovery formula.<\/p>\n<p style=\"text-align: justify;\">Our aim is to study analogues of known results concerning Banach space of vector valued\u00a0 sequences. In this work it is introduced the\u00a0 concepts of\u00a0 x- frame,\u00a0b &#8211; atomic decomposition, the stability results of\u00a0 results g-frames , x- frames and\u00a0 b-atomic decomposition as well as recovery formula over\u00a0\u00a0 x-frame were obtained.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Weekly seminar on June 04, 2014, 10.00 a.m. will feature a report\u00a0 by\u00a0 Miqdad \u00a0Imdad oglu Ismailov, senior research worker of the Department of\u00a0 Non-Harmonic Analysis, entitled\u00a0 \u201cOn a generalization of frame and stability of it\u201d. Recently, from a practical point of view, the interest in frames greatly increased. Recall that the frames were introduced [&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\/2230"}],"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=2230"}],"version-history":[{"count":1,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/2230\/revisions"}],"predecessor-version":[{"id":2231,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/2230\/revisions\/2231"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=2230"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=2230"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=2230"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}