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A note on weighted homogeneous Siciak-Zaharyuta extremal functions

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 نشر من قبل Barbara Drinovec Drnov\\v{s}ek
 تاريخ النشر 2015
  مجال البحث
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We prove that for any given upper semicontinuous function $varphi$ on an open subset $E$ of $mathbb C^nsetminus{0}$, such that the complex cone generated by $E$ minus the origin is connected, the homogeneous Siciak-Zaharyuta function with the weight $varphi$ on $E$, can be represented as an envelope of a disc functional.

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