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4 papers · 2 filters
"Convex" characterization of linearly convex domains
Nikolai Nikolov, Pascal J. Thomas
We prove that a -smooth bounded domain in $\C^n$ is linearly convex if and only if the convex hull of any two discs in with common center lies in
Green functions of the spectral ball and symmetrized polydisk
Pascal J. Thomas, Nguyen Van Trao, Wlodzimierz Zwonek
The Green function of the spectral ball is constant over the isospectral varieties, is never less than the pullback of its counterpart on the symmetrized polydisk, and is equal to…
A mi-chemin entre analyse complexe et superanalyse
Pierre Bonneau, Anne Cumenge
In the framework of superanalysis we get a functions theory close to complex analysis, under a suitable condition (A) on the real superalgebras in consideration (this condition is…
Spectral Nevanlinna-Pick and Carathéodory-Fejér problems
Nikolai Nikolov, Peter Pflug, Pascal J. Thomas
The Nevanlinna-Pick problem and the simplest case of the Carathéodory-Fejér problem on the spectral ball $\Om_3$ are reduced to interpolation problems on the symmetrized three-disc…