{"id":23794,"date":"2019-03-04T14:21:53","date_gmt":"2019-03-04T10:21:53","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=23794"},"modified":"2019-03-05T11:45:07","modified_gmt":"2019-03-05T07:45:07","slug":"announcement-153","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2019\/03\/04\/announcement-153\/","title":{"rendered":"ANNOUNCEMENT"},"content":{"rendered":"<p style=\"text-align: justify;\">Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan will hold its next weekly seminar on March 06, 2019, 10:00 a.m., which will feature a report by associate professor Migdad Ismailov, senior researcher of the Department of Non-Harmonic Analysis of IMM of the NAS of Azerbaijan, entitled \u201cSome problems of approximation in grand-Lebesgue spaces\u201d.<\/p>\n<p style=\"text-align: justify;\">In the report the subspace <em>G <sup>p)<\/sup>(-\u03c0;\u00a0\u03c0)\u00a0<\/em>of the grand-Lebesgue space\u00a0<em>L<sup>p)<\/sup>(-\u03c0;\u00a0\u03c0), p&gt;<\/em>1. is defined. Density of the set\u00a0<em>C<sub>0<\/sub><sup>\u221e\u00a0<\/sup><\/em>[<em>-\u03c0;\u00a0\u03c0\u00a0<\/em>]\u00a0of continuous finite \u00a0functions on a segment [<em>-\u03c0;\u00a0\u03c0 <\/em>] is established \u00a0in space\u00a0<em>G\u00a0<sup>p)<\/sup>(-\u03c0;\u00a0\u03c0).<\/em>The basis properties of trigonometric systems and exponential systems in space\u00a0<em>G <sup>p)<\/sup>(-\u03c0;\u00a0\u03c0), p&gt;<\/em>1\u00a0are studied.\u00a0<em>H<sub>p)<\/sub><sup>\u00b1<\/sup><\/em> grand-Hardy classes of analytic functions in the unit circle are defined. The necessary and sufficient conditions are found for the validity of the analogs of the classical Riesz, Smirnov theorems and the Cauchy formula in these classes.<\/p>\n<p style=\"text-align: justify;\">All rights are reserved. Citing to www.imm.az is necessary upon using news.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan will hold its next weekly seminar on March 06, 2019, 10:00 a.m., which will feature a report by associate professor Migdad Ismailov, senior researcher of the Department of Non-Harmonic Analysis of IMM of the NAS of Azerbaijan, entitled \u201cSome problems of approximation [&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\/23794"}],"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=23794"}],"version-history":[{"count":2,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/23794\/revisions"}],"predecessor-version":[{"id":23806,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/23794\/revisions\/23806"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=23794"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=23794"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=23794"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}