{"id":43596,"date":"2023-03-21T01:00:00","date_gmt":"2023-03-20T21:00:00","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=43596"},"modified":"2023-03-29T14:55:49","modified_gmt":"2023-03-29T10:55:49","slug":"elan-291","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2023\/03\/21\/elan-291\/","title":{"rendered":"ELAN"},"content":{"rendered":"<p>29 mart 2023-c\u00fc il saat 10:00-da RM\u0130-nun \u00fcmuminstitut seminar\u0131nda f.-r.e.d. Bil\u0259nd\u0259r Pa\u015fa o\u011flu Allahverdiyev <strong>\u201c<\/strong><strong>Hilbert f\u0259zalar\u0131nda \u00f6z-\u00f6zun\u0259 qo\u015fma v\u0259 \u00f6z-\u00f6z\u00fcn\u0259 qo\u015fma olmayan operatorlar\u0131n spektral n\u0259z\u0259riyy\u0259sinin b\u0259zi m\u0259s\u0259l\u0259l\u0259ri\u201d&nbsp;<\/strong>m\u00f6vzusunda m\u0259ruz\u0259 ed\u0259c\u0259kdir.<\/p>\n<p>Hilbert f\u0259zalar\u0131nda t\u0259sir ed\u0259n k\u0259silm\u0259z spektr\u0259 malik \u00f6z-\u00f6z\u00fcne qo\u015fma olmayan operatorlar\u0131n v\u0259 operator qiym\u0259tli funksiyalar\u0131n spektral n\u0259z\u0259riyy\u0259sinin b\u0259zi m\u0259s\u0259l\u0259l\u0259ri t\u0259dqiq edilmi\u015fdir. Simmetrik \u015eredinqer, sinqulyar \u015eturm-Liuvill, Dirak tip (Hamiltonian) v\u0259 f\u0259rq operatorlar\u0131n\u0131n (sonsuz Yakobi matrisl\u0259ri, diskret \u015eturm-Liuvill ve diskret Dirak tip (Hamiltonian) operatorlar) \u00f6z-\u00f6z\u00fcn\u0259 qo\u015fma olan v\u0259 \u00f6z-\u00f6z\u00fcn\u0259 qo\u015fma olmayan (maksimal dissipativ, akkumulyativ) geni\u015fl\u0259nm\u0259l\u0259ri s\u0259rh\u0259d \u015f\u0259rtl\u0259ri vasit\u0259siyl\u0259 tap\u0131lm\u0131\u015fd\u0131r. Bu operatorlar\u0131n maksimal dissipativ geni\u015fl\u0259nm\u0259l\u0259rinin \u00f6z-\u00f6z\u00fcn\u0259 qo\u015fma dilatasiyalar\u0131, dilatasiyalar\u0131n s\u0259pilm\u0259 n\u0259z\u0259riyy\u0259sinin s\u0259pilm\u0259 matrisl\u0259ri qurulmu\u015f v\u0259 maksimal dissipativ operatorlar\u0131n funksional modell\u0259ri &nbsp;qurularaq xarakteristik funksiyalar\u0131 tap\u0131lm\u0131\u015fd\u0131r. Bu operatorlar \u00fc\u00e7\u00fcn m\u0259xsusi v\u0259 qo\u015fulmu\u015f vektorlar\u0131n taml\u0131q m\u0259s\u0259l\u0259l\u0259ri h\u0259ll edilmi\u015fdir. Bu m\u0259s\u0259l\u0259l\u0259r s\u0259rh\u0259d \u015f\u0259rtl\u0259rind\u0259 spektral parametr olan sinqulyar \u015eturm-Liuvill, Dirak tip (Hamiltonian), f\u0259rq operatorlar\u0131 v\u0259 matris \u0259msall\u0131 \u015eredinqer, sinqulyar \u015eturm-Liuvill, Dirak tip (Hamiltonian) v\u0259 f\u0259rq operatorlar\u0131 (sonsuz Yakobi matrisl\u0259ri, diskret \u015eturm-Liuvill ve diskret Dirak tip (Hamiltonian) operatorlar) \u00fc\u00e7\u00fcn d\u0259 h\u0259ll edilmi\u015fdir. &nbsp;\u0130mpulsiv sinqulyar \u015eturm-Liuvill v\u0259 Dirak tip (Hamiltonian) sistemler \u00fc\u00e7\u00fcn spektral analizin b\u0259zi m\u0259s\u0259l\u0259l\u0259ri h\u0259ll edilmi\u015fdir. Zaman \u015fkalas\u0131nda bax\u0131lan \u015eturm-Liuvill ve Dirak operatorlar\u0131n\u0131n spektral xass\u0259l\u0259ri ara\u015fd\u0131r\u0131lm\u0131\u015fd\u0131r. Requlyar v\u0259 singulyar q-\u015eturm-Liuvill, q-Dirak, q-Hamiltonian, Hahn-\u015eturm-Liuvill, Hahn-Dirak, Hahn-Hamiltonian sisteml\u0259r \u00fc\u00e7\u00fcn spektral n\u0259z\u0259riyy\u0259nin bir \u00e7ox m\u0259s\u0259l\u0259l\u0259ri h\u0259ll edilmi\u015fdir. B\u0259zi diferensial ve q-f\u0259rq operatorlar\u0131n\u0131n m\u0259xsusi v\u0259 qo\u015fulmu\u015f vektorlar\u0131n\u0131n Riss ve Bari bazislik m\u0259s\u0259l\u0259l\u0259ri h\u0259ll edilmi\u015fdir. Qeyri-x\u0259tti sinqulyar \u015eturm-Liuvill, q-\u015eturm-Liuvill, Hahn-\u015eturm-Liuvill m\u0259s\u0259l\u0259l\u0259rinin varl\u0131q ve yegan\u0259lik teoremleri isbat edilmi\u015fdir.<\/p>\n<p>\u00a9 B\u00fct\u00fcn h\u00fcquqlar qorunur. X\u0259b\u0259rl\u0259rd\u0259n istifad\u0259 ed\u0259rk\u0259n www.imm.az sayt\u0131na istinad z\u0259ruridir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>29 mart 2023-c\u00fc il saat 10:00-da RM\u0130-nun \u00fcmuminstitut seminar\u0131nda f.-r.e.d. Bil\u0259nd\u0259r Pa\u015fa o\u011flu Allahverdiyev \u201cHilbert f\u0259zalar\u0131nda \u00f6z-\u00f6zun\u0259 qo\u015fma v\u0259 \u00f6z-\u00f6z\u00fcn\u0259 qo\u015fma olmayan operatorlar\u0131n spektral n\u0259z\u0259riyy\u0259sinin b\u0259zi m\u0259s\u0259l\u0259l\u0259ri\u201d&nbsp;m\u00f6vzusunda m\u0259ruz\u0259 ed\u0259c\u0259kdir. Hilbert f\u0259zalar\u0131nda t\u0259sir ed\u0259n k\u0259silm\u0259z spektr\u0259 malik \u00f6z-\u00f6z\u00fcne qo\u015fma olmayan operatorlar\u0131n v\u0259 operator qiym\u0259tli funksiyalar\u0131n spektral n\u0259z\u0259riyy\u0259sinin b\u0259zi m\u0259s\u0259l\u0259l\u0259ri t\u0259dqiq edilmi\u015fdir. Simmetrik \u015eredinqer, sinqulyar \u015eturm-Liuvill, Dirak [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[75],"tags":[],"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/43596"}],"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=43596"}],"version-history":[{"count":5,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/43596\/revisions"}],"predecessor-version":[{"id":43766,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/43596\/revisions\/43766"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=43596"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=43596"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=43596"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}