Indeks eliptičnih operatorjev : magistrsko delo

(UL)

Indeks eliptičnih operatorjev : magistrsko delo

Malešič, Jože

V delu so opisani diferencialni in psevdodiferencialni operatorji na gladkih mnogoterostih. Konstruirani so prostori Soboljeva za sklenjene mnogoterosti. Iz lastnosti prostorov Soboljeva in s pomočjo ... teorije fredholmskih operatorjev sta izpeljana naslednja rezultata: -vsak eliptični psevdodiferencialni operator na sklenjeni mnogoterosti ima indeks in -indeks eliptičnih pseudodiferencialnih operatorjev je invarianten proti zvezni deformaciji njihovih simbolov. Razložene so osnove K-teorije, največ pozornosti je posvečeno konstrukciji K-teorije za lokalno kompaktne prostore s pomočjo kompleksov vektorskih svežnjev. Vse naštete teme so obdelane v tolikšni meri, da je mogoče formulirati Atiyah-Singerjev izrek o indeksu eliptičnih operatorjev pa tudi ilustrirati ta izrek z nekaj primeri.

Type of material - master's thesis

Publication and manufacture - Ljubljana : [J. Malešič], 1982

Language - slovenian

COBISS.SI-ID - 3726425

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Vrabec, Jože, 1940-

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Library	Call number – location, accession no. ...	Copy status
FMF, Mathematical Library, Lj.	Skladišče-Jadranska 21 10941/26	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
Malešič, Jože	05485
Vrabec, Jože, 1940-	00724

Source: Personal bibliographies and: SICRIS

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