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Odpravljive singularnosti Cauchy-Riemannovih funkcij : magistrsko deloGovekar-Leban, DarjaZnano 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-Riemannovim 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 thesisPublication and manufacture - Ljubljana : [D. Govekar], 1991Language - slovenianCOBISS.SI-ID - 3663705
Author
Govekar-Leban, Darja
Other authors
Forstnerič, Franc, 1958-
Topics
matematika |
kompleksna analiza |
CR mnogoterost |
tangencialni CR operator |
CR funkcija |
polinomialna konveksnost |
q-konveksnost |
q-konkavnost |
odpravljive singularnost |
mathematics |
complex analysis |
CR manifold |
tangential CR operator |
CR function |
polynomial convexity |
q-convexity |
q-concavity |
renovable singularities
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Database name | Field | Year |
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Govekar-Leban, Darja | 10587 |
Forstnerič, Franc, 1958- | 09990 |
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