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Odpravljive singularnosti Cauchy-Riemannovih funkcij : magistrsko delo
Govekar-Leban, Darja
Znano je (Bochner), da je zvezna funkcija na povezanem robu ▫$bD$▫ domene ▫$D$▫ v ▫$\mathbb C^{n}$▫, ▫$n\ge2$▫ robna vrednost holomorfne funkcije ▫$F\in A(D)$▫ natanko tedaj, ko ▫$f$▫ zadošča ...tangencialnim Cauchy-Riemanovim enačbam (ali na kratko, ▫$f$▫ je CR funkcija). V delu so obravnavane odpravljive singularnosti CR funkcij. Za dano relativno kompaktno domeno ▫$D$▫ v kompleksni mnogoterosti ▫$M$▫, zaprto podmnožico ▫$K \subset bD$▫ imenujemo odpravljiva, če za poljubno zvezno CR funkcijo ▫$f$▫ na ▫$bD \backslash K$▫ obstaja holomorfna funkcija ▫$F$▫ na ▫$D$▫, ki zvezno zavzame robne vrednosti ▫$f$▫ vzdolž ▫$bD \backslash K$▫.
Type of material - master's thesis
Publication and manufacture - Ljubljana : [D. Govekar], 1991
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