{"id":{"repo_id":"vilnius","oai_identifier":"oai:vu.lt:elaba:8757588"},"canonical_url":"https://search.dev.ndltd.org/etd/vilnius/oai:vu.lt:elaba:8757588","repository":{"repo_id":"vilnius","name":"Vilnius University","base_url":"https://epublications.vu.lt/oai"},"display":{"title":"Mišu universalumo teoremos apibendrinimas /","abstract":"Lets=+ibe a complex variable, and,0< 1, be a fixed parameter. The Riemannand Hurwitz zeta - functions(s)and(s;)are defined, for >1, by the series(s) =1Xm=11msand(s;) =1Xm=01(m+)s;and were meromorphically continued to the whole complex plane.It is known that functions(s)and(s;)are universal in the sence of that, their shifts(s+i)and(s+i;)approximate every analytic function. H. Mishou proved joint universality theoremon the approximation of a pair of analytic functions by shifts((s+i);(s+i;)).In the masters degree work, we consider the universality of composite functionsF((s);(s;))for some operators F. LetD=fs2C:12< <1g,H(D)be the square of analytic functions onDequipped with the topology of uniform convergence on compact. LetKbe the class of compactsubsets of the stripDwith conected complements, and letH(K),K2K, be the class of continuosfunctions onKwhich are analytic in the interior ofK.","abstract_html":"Lets=+ibe a complex variable, and,0&lt; 1, be a fixed parameter. The Riemannand Hurwitz zeta - functions(s)and(s;)are defined, for &gt;1, by the series(s) =1Xm=11msand(s;) =1Xm=01(m+)s;and were meromorphically continued to the whole complex plane.It is known that functions(s)and(s;)are universal in the sence of that, their shifts(s+i)and(s+i;)approximate every analytic function. H. Mishou proved joint universality theoremon the approximation of a pair of analytic functions by shifts((s+i);(s+i;)).In the masters degree work, we consider the universality of composite functionsF((s);(s;))for some operators F. LetD=fs2C:12&lt; &lt;1g,H(D)be the square of analytic functions onDequipped with the topology of uniform convergence on compact. LetKbe the class of compactsubsets of the stripDwith conected complements, and letH(K),K2K, be the class of continuosfunctions onKwhich are analytic in the interior ofK.","abstract_has_math":false,"creators":["Grigaliūnaitė, Justina,"],"institution":"Institutional Repository of Vilnius University","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Laurinčikas, Antanas"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015","date_published":"2015","updated_at":"2026-07-24T05:55:40Z","subjects":["generalization ; mishou ; universality"],"languages":["lit"],"rights":["info:eu-repo/semantics/openAccess"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://repository.vu.lt/VU:ELABAETD8757588&prefLang=en_US","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Laurinčikas, Antanas"]},{"key":"dc:creator","label":"Author","values":["Grigaliūnaitė, Justina,"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015"]},{"key":"dc:publisher","label":"Institution","values":["Institutional Repository of Vilnius University"]},{"key":"dc:relation","label":"Dc Relation","values":["https://epublications.vu.lt/object/elaba:8757588/8757588.pdf"]},{"key":"dc:type","label":"Dc Type","values":["info:eu-repo/semantics/masterThesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["generalization ; mishou ; universality"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["lit"]},{"key":"dc:rights","label":"Dc Rights","values":["info:eu-repo/semantics/openAccess"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://repository.vu.lt/VU:ELABAETD8757588&prefLang=en_US"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Lets=+ibe a complex variable, and,0< 1, be a fixed parameter. The Riemannand Hurwitz zeta - functions(s)and(s;)are defined, for >1, by the series(s) =1Xm=11msand(s;) =1Xm=01(m+)s;and were meromorphically continued to the whole complex plane.It is known that functions(s)and(s;)are universal in the sence of that, their shifts(s+i)and(s+i;)approximate every analytic function. H. Mishou proved joint universality theoremon the approximation of a pair of analytic functions by shifts((s+i);(s+i;)).In the masters degree work, we consider the universality of composite functionsF((s);(s;))for some operators F. LetD=fs2C:12< <1g,H(D)be the square of analytic functions onDequipped with the topology of uniform convergence on compact. LetKbe the class of compactsubsets of the stripDwith conected complements, and letH(K),K2K, be the class of continuosfunctions onKwhich are analytic in the interior ofK."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Mišu universalumo teoremos apibendrinimas /","A Generalization of the Mishou Universality Theorem."]}]}],"canonical_facts":{"dc:contributor":["Laurinčikas, Antanas"],"dc:creator":["Grigaliūnaitė, Justina,"],"dc:date":["2015"],"dc:description":["Lets=+ibe a complex variable, and,0< 1, be a fixed parameter. The Riemannand Hurwitz zeta - functions(s)and(s;)are defined, for >1, by the series(s) =1Xm=11msand(s;) =1Xm=01(m+)s;and were meromorphically continued to the whole complex plane.It is known that functions(s)and(s;)are universal in the sence of that, their shifts(s+i)and(s+i;)approximate every analytic function. H. Mishou proved joint universality theoremon the approximation of a pair of analytic functions by shifts((s+i);(s+i;)).In the masters degree work, we consider the universality of composite functionsF((s);(s;))for some operators F. LetD=fs2C:12< <1g,H(D)be the square of analytic functions onDequipped with the topology of uniform convergence on compact. LetKbe the class of compactsubsets of the stripDwith conected complements, and letH(K),K2K, be the class of continuosfunctions onKwhich are analytic in the interior ofK."],"dc:format":["application/pdf"],"dc:identifier":["https://repository.vu.lt/VU:ELABAETD8757588&prefLang=en_US"],"dc:language":["lit"],"dc:publisher":["Institutional Repository of Vilnius University"],"dc:relation":["https://epublications.vu.lt/object/elaba:8757588/8757588.pdf"],"dc:rights":["info:eu-repo/semantics/openAccess"],"dc:subject":["generalization ; mishou ; universality"],"dc:title":["Mišu universalumo teoremos apibendrinimas /","A Generalization of the Mishou Universality Theorem."],"dc:type":["info:eu-repo/semantics/masterThesis"]},"updated_at":"2026-07-24T05:55:40Z"}