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Analiza. Del 4, Interpolacija v polidiskni algebriGlobevnik, Josip, 1945- ...Naj bo ▫$N>1$▫ in ▫$A_N$▫ polidisk algebra, to je algebra vseh tistih na zaprtem polidisku ▫$\bar{\Delta}^N \subset \mathbb{C}^N$▫ zveznih funkcij, ki so analitične na odprtem polidisku ▫$\Delta^N$▫. ... Opremimo ▫$A_N$▫ s sup normo. Zaprto množico ▫$F \subset \bar{\Delta}^N$▫ imenujemo slemenska interpolacijska množica za ▫$A_N$▫, če za vsak ▫$f \in C(F)$▫, ▫$f \ne 0$▫, obstaja ▫$\widetilde{f} \in A_n$▫, ki je razširitev funkcije ▫$f$▫ in za katero velja ▫$|\widetilde{f}(z)| < \|f\|$▫ za vsak ▫$z \in \bar{\Delta}^n-F$▫; ▫$F$▫ imenujemo normno interpolacijsks množica za ▫$A_N$▫, če za vsak ▫$f \in C(F)$▫ obstaja taka razširitev ▫$\widetilde{f} \in A_N$▫ funkcije ▫$f$▫, za katero velja ▫$\|\widetilde{f}\| = \|f\|$▫; ▫$F$▫ imenujemo slemenska množica za ▫$A_N$▫, če obstaja taka funkcija ▫$\varphi \in A_N$▫, da je ▫$\varphi|F = 1$▫ in ▫$|\varphi(z)| < 1$▫ za vsak ▫$z \in \bar{\Delta}^N-F$▫. Naloga daje popoln opis normno interpolacijskih množic za ▫$A_N$▫ s pomočjo slemenskih interpolacijskih množic za ▫$A_M$▫, ▫$M \le N$▫, in popoln opis slemenskih množic za ▫$A_N$▫ s pomočjo slemenskih interpolacijskih množic za ▫$A_M$▫, ▫$M \le N$▫.Type of material - research reportPublication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1981Language - slovenianCOBISS.SI-ID - 7851097
Author
Globevnik, Josip, 1945- |
Legiša, Peter |
Forstnerič, Franc, 1958- |
Založnik, Aleš, 1954- |
Lešnjak, Gorazd
Topics
matematika |
funkcionalna analiza |
kompleksna analiza |
interpolacija |
polidiskne algebre |
mathematics |
functional analysis |
complex analysis |
interpolation |
polydisc algebras
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Library/institution |
City | Acronym | For loan | Other holdings |
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
reading room 1 cop.
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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DRS, in which the journal is indexed
Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
---|---|
Globevnik, Josip, 1945- | 02301 |
Legiša, Peter | 02297 |
Forstnerič, Franc, 1958- | 09990 |
Založnik, Aleš, 1954- | 07081 |
Lešnjak, Gorazd | 07082 |
Source: Personal bibliographies
and: SICRIS
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