Baza Steinovih okolic vloženega strogo psevdokonveksnega območja in sorodnih objektov : doktorska disertacija

FMF, Mathematical Library, Lj. (MAKLJ)

Baza Steinovih okolic vloženega strogo psevdokonveksnega območja in sorodnih objektov : doktorska disertacija

Starčič, Tadej

V disertaciji je konstruirana baza Steinovih okolic za poljubno kompaktno analitično množico ▫$A$▫ s strogo psevdokonveksnim robom ▫$bA$▫ in Steinovo notranjostjo ▫$A \setminus bA$▫ v kompleksnem ... prostoru ▫$X$▫. To je razširitev znanega Siujevega izreka. V primeru, ko je ▫$A$▫ kompleksna krivulja, rezultat sovpada z rezultatom, ki sta ga dokazala Drinovec-Drnovšek in Forstnerič. Njun dokaz prilagodimo za višje dimenzije in pri tem uporabimo ideje Demaillyjevega dokaza Siujevega izreka. Z enako metodo je dokazan tudi obstoj baze ▫$q$▫-kompletnih okolic poljubne kompaktne ▫$q$▫-kompletne analitične množice z robom. Za vložena strogo psevdokonveksna območja v kompleksnih mnogoterostih poiščemo celo bazo cevastih Steinovih okolic. Z drugačnim pristopom pa konstruiramo bazo Steinove okolice za določene kompaktne podmnožice v Levi-ravnih CR-podmnogoterostih v kompleksnih mnogoterostih. Te rezultate uporabimo pri reševanju problemov aproksimacije s holomorfnimi preslikavami.

Type of material - dissertation ; adult, serious

Publication and manufacture - Ljubljana : [T. Starčič], 2008

Language - slovenian

COBISS.SI-ID - 243195648

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Forstnerič, Franc, 1958- | Slapar, Marko

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Skladišče-Jadranska 21 10921/104	available - reading room

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Year	Impact factor		Edition		Category		Classification
Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Starčič, Tadej	24330
Forstnerič, Franc, 1958-	09990
Slapar, Marko	18171

Source: Personal bibliographies and: SICRIS

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