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- Jožef Stefan InstituteSI968 papers
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4 papers · 2 filters
Analyticity on families of circles
Josip Globevnik
It is known that if f is a continuous function on the complex plane which extends holomorphically from each circle surrounding the origin then f is not necessarily holomorphic. In…
A decomposition of functions with zero means on circles
Josip Globevnik
It is well known that every Hoelder-continuous function on the unit circle is the sum of two functions such that one of these two functions extends holomorphically into the unit di…
Proper discs in Stein manifolds avoiding complete pluripolar sets
Barbara Drinovec Drnovsek
We prove the following theorem: Let X be a Stein manifold of dimension at least 2 and Y a closed complete pluripolar subset of X. Given a point p in the complement of Y there is a…
Oka's principle for holomorphic fiber bundles with sprays
Franc Forstneric, Jasna Prezelj
We give a proof of the following theorem of M. Gromov (Oka's principle for holomorphic sections of elliptic bundles, J. Amer. Math. Soc., 2 (1989), 851-897). Let Z be a holomorphic…