{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-LLT0UKKU/1af884-1658-1b2fa89d14b092fb34e2-5-4/PDF","dcterms:extent":"473 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-LLT0UKKU/2bf44745-99ec-4e9b-b143-6f954d48e6e6/TEXT","dcterms:extent":"0 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-LLT0UKKU/f2440928-2ef8-415d-a1a8-8b5f91b164b3/WEB","dcterms:extent":"0 KB"}],"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-LLT0UKKU","dcterms:issued":"2013","dc:contributor":"Prezelj-Perman, Jasna","dc:creator":"Stopar, Kris","dc:format":{"@xml:lang":"sl","#text":"72 str., 30 cm"},"dc:identifier":["COBISSID:16765529","PID:https://repozitorij.uni-lj.si/IzpisGradiva.php?id=95850","URN:URN:NBN:SI:doc-LLT0UKKU"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"K. Stopar"},"dc:source":{"@xml:lang":"sl","#text":"visokošolska dela"},"dc:subject":[{"@xml:lang":"sl","#text":"1-convex Cartan pair"},{"@xml:lang":"sl","#text":"1-convex domain"},{"@xml:lang":"sl","#text":"1-konveksen Cartanov par"},{"@xml:lang":"sl","#text":"1-konveksna domena"},{"@xml:lang":"sl","#text":"approximation"},{"@xml:lang":"sl","#text":"aproksimacija"},{"@xml:lang":"sl","#text":"Cartan lemma"},{"@xml:lang":"sl","#text":"Cartanova lema"},{"@xml:lang":"sl","#text":"Disertacije"},{"@xml:lang":"sl","#text":"Holomorfni spreji (matematika)"},{"@xml:lang":"sl","#text":"Oka principle"},{"@xml:lang":"sl","#text":"prava holomorfna preslikava"},{"@xml:lang":"sl","#text":"princip Oka"},{"@xml:lang":"sl","#text":"proper holomorphic map"},{"@xml:lang":"sl","#text":"spray"},{"@xml:lang":"sl","#text":"spray of sections"},{"@xml:lang":"sl","#text":"sprej"},{"@xml:lang":"sl","#text":"sprej prerezov"}],"dc:title":{"@xml:lang":"sl","#text":"Holomorfni spreji v kompleksni analizi in geometriji| doktorska disertacija|"},"dc:description":[{"@xml:lang":"sl","#text":"Let ?$\\pi \\colon Z \\to X$? be a holomorphic submersion of a complex manifold ?$Z$? onto a complex manifold ?$X$? and ?$D \\Subset X$? a 1-convex domain with strongly pseudoconvex boundary. We prove that under certain conditions there always exists a spray of ?$\\pi$?-sections over ?$\\bar{D}$? which has prescribed core, fixes the exceptional set ?$E$? of ?$D$?, and is dominating on ?$\\bar{D} \\setminus E$?. Each section in this spray is of class ?${\\mathcal C}^k(\\bar{D})$? and holomorphic on ?$D$?. As a consequence we obtain several approximation results for ?$\\pi$?-sections. In particular, we prove that ?$\\pi$?-sections which are of class ?${\\mathcal C}^k(\\bar{D})$? and holomorphic on ?$D$? can be approximated in the ?${\\mathcal C}^k(\\bar{D})$? topology by ?$\\pi$?-sections that are holomorphic in open neighborhoods of ?$\\bar{D}$?. Under additional assumptions on the submersion we also get approximation by global holomorphic ?$\\pi$?-sections and the Oka principle over 1-convex manifolds. We include a result on the existance of proper holomorphic maps from 1-convex domains into ?$q$?-convex manifolds"},{"@xml:lang":"sl","#text":"Naj bo ?$\\pi \\colon Z \\to X$? holomorfna submerzija iz kompleksne mnogoterosti ?$Z$? na kompleksno mnogoterost ?$X$? in ?$D \\Subset X$? 1-konveksna domena s strogo psevdokonveksnim robom. V disertaciji dokažemo, da pod določenimi predpostavkami vedno obstaja sprej ?$\\pi$?-prerezov nad ?$\\bar{D}$?, ki ima predpisano jedro, fiksira izjemno množico ?$E$? domene ?$D$? in je dominanten na ?$\\bar{D} \\setminus E$?. Vsak prerez v tem spreju je razreda ?${\\mathcal C}^k(\\bar{D})$? in holomorfen na ?$D$?. Kot posledico dobimo več aproksimacijskih rezultatov za ?$\\pi$?-prereze. Med drugim dokažemo, da lahko ?$\\pi$?-prereze, ki so razreda ?${\\mathcal C}^k(\\bar{D})$? in holomorfni na ?$D$? aproksimiramo v ?${\\mathcal C}^k(\\bar{D})$? topologiji s ?$\\pi$?-prerezi, ki so holomorfni v odprtih okolicah množice ?$\\bar{D}$?. Pod dodatnimi predpostavkami na submerzijo dobimo tudi aproksimacijo z globalnimi holomorfnimi ?$\\pi$?-prerezi in princip Oka nad 1-konveksnimi mnogoterostmi. Vključimo tudi rezultat o obstoju pravih holomorfnih preslikav iz 1-konveksnih domen v ?$q$?-konveksne mnogoterosti"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"visokošolska dela"},{"@xml:lang":"en","#text":"theses and dissertations"},{"@rdf:resource":"http://www.wikidata.org/entity/Q1266946"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:DOC-LLT0UKKU","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-LLT0UKKU"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-LLT0UKKU/1af884-1658-1b2fa89d14b092fb34e2-5-4/PDF"},"edm:rights":{"@rdf:resource":"http://rightsstatements.org/vocab/InC/1.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza v Ljubljani, Fakulteta za matematiko in fiziko"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:DOC-LLT0UKKU/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-LLT0UKKU"}}}}