Runge families and inductive limits of Stein spaces
The general Stein union problem is solved: given an increasing sequence of Stein open sets, it is shown that the union is Stein if and only if is Hausdorff separated.
Displaying 301 – 320 of 415
Rungescher Satz and a condition for Steiness for the limit of an increasing sequence of Stein spaces
Alessandro Silva (1978)
Annales de l'institut Fourier
A necessary and sufficient condition, which is a weak converse of a classical theorem of Behnke-Stein, in order that a limit of Stein spaces be again a Stein space is proved.
Schlichte Linearkombinationen holomorpher Funktionen aus H (D).
Volker Kasten (1979)
Mathematische Zeitschrift
Séries de Laurent des fonctions holomorphes dans la complexification d'un espace symétrique compact
Michel Lassalle (1978)
Annales scientifiques de l'École Normale Supérieure
Siciak's extremal function in complex and real analysis
W. Pleśniak (2003)
Annales Polonici Mathematici
The Siciak extremal function establishes an important link between polynomial approximation in several variables and pluripotential theory. This yields its numerous applications in complex and real analysis. Some of them can be found on a rich list drawn up by Klimek in his well-known monograph "Pluripotential Theory". The purpose of this paper is to supplement it by applications in constructive function theory.
Siciak-Zahariuta extremal functions and polynomial hulls
Finnur Lárusson, Ragnar Sigurdsson (2007)
Annales Polonici Mathematici
We use our disc formula for the Siciak-Zahariuta extremal function to characterize the polynomial hull of a connected compact subset of complex affine space in terms of analytic discs.
Some applications of functions of several complex variables to Toeplitz and subnormal operators
J. Janas (1983)
Annales Polonici Mathematici
Some Characterizations of L-regular Points.
Urban Cegrell (1980)
Monatshefte für Mathematik
Some open problems in higher dimensional complex analysis and complex dynamics.
John Erik Fornaess, Nessim Sibony (2001)
Publicacions Matemàtiques
We present a collection of problems in complex analysis and complex dynamics in several variables.
Some Properties of Compact Natural Sets in Several Complex Variables.
Olle Stormark (1973)
Mathematica Scandinavica
Some capacities and applications - the lemma on mixed derivatives revisited
J. Korevaar (1986)
Matematički Vesnik
Some remarks concerning holomorphically convex hulls and envelopes of holomorphy.
Burglind Jöricke (1995)
Mathematische Zeitschrift
Some results on the extension of analytic entities defined out of a compact
C. Bànicà, O. Stànàsilà (1971)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Special neighborhoods of subsets in complex spaces.
Nicolae Mihalache (1996)
Mathematische Zeitschrift
Spherical Stein manifolds and the Weyl involution
Dmitri Akhiezer (2009)
Annales de l’institut Fourier
We consider an action of a connected compact Lie group on a Stein manifold by holomorphic transformations. We prove that the manifold is spherical if and only if there exists an antiholomorphic involution preserving each orbit. Moreover, for a spherical Stein manifold, we construct an antiholomorphic involution, which is equivariant with respect to the Weyl involution of the acting group, and show that this involution stabilizes each orbit. The construction uses some properties of spherical subgroups...
Stability of the polynomial hull of
Eric Bedford (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Stein manifolds with compact symmetric center.
Giorgio Patrizio, Pit-Mann Wong (1991)
Mathematische Annalen
Stein Neighborhoods for Finite Preimages of Regular Domain.
J.E. Fornaess, K. Diederich (1985)
Manuscripta mathematica
Stein open subsets with analytic complements in compact complex spaces
Jing Zhang (2015)
Annales Polonici Mathematici
Let Y be an open subset of a reduced compact complex space X such that X - Y is the support of an effective divisor D. If X is a surface and D is an effective Weil divisor, we give sufficient conditions so that Y is Stein. If X is of pure dimension d ≥ 1 and X - Y is the support of an effective Cartier divisor D, we show that Y is Stein if Y contains no compact curves, for all i > 0, and for every point x₀ ∈ X-Y there is an n ∈ ℕ such that is empty or has dimension 0, where is the map from...
Stein Quotients of Connected Complex Lie Groups.
Dennis M. Snow (1985)
Manuscripta mathematica