Polynomial hulls and positive currents
Displaying 261 – 280 of 415
Polynomial hulls in and quasicircles
Zbigniew Slodkowski (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Polynomial Hulls with Convex Fibers.
John Wermer, Herbert Alexander (1985)
Mathematische Annalen
Polynomial interpolation and approximation in
T. Bloom, L. P. Bos, J.-P. Calvi, N. Levenberg (2012)
Annales Polonici Mathematici
We update the state of the subject approximately 20 years after the publication of T. Bloom, L. Bos, C. Christensen, and N. Levenberg, Polynomial interpolation of holomorphic functions in ℂ and ℂⁿ, Rocky Mountain J. Math. 22 (1992), 441-470. This report is mostly a survey, with a sprinkling of assorted new results throughout.
Polynomially convex hulls of families of arcs
Zbigniew Słodkowski (2004)
Studia Mathematica
The paper is devoted to the study of polynomially convex hulls of compact subsets of ℂ², fibered over the boundary of the unit disc, such that all fibers are simple arcs in the plane and their endpoints form boundaries of two closed, not intersecting analytic discs. The principal question concerned is under what additional condition such a hull is a bordered topological hypersurface and, in particular, is foliated by a unique holomorphic motion. One of the main results asserts that this happens...
Polynomially Convex Hulls with Piecewise Smooth Boundaries.
Franc Forstneric (1986)
Mathematische Annalen
Polynominal approximation in certain weighted Hilbert spaces of entire functions.
Sidney L. Hantler (1976)
Mathematica Scandinavica
Primitive elements in rings of holomorphic functions.
Richard M. Hain, T. Duchamp (1984)
Journal für die reine und angewandte Mathematik
Principal Orbit Types for Reductive Groups Acting on Stein Manifolds.
R.W. jr. Richardson (1974)
Mathematische Annalen
Principe d'Oka-Grauert dans A?.
A. Sebbar (1989)
Mathematische Zeitschrift
Problème de Levi et espaces holomorphiquement séparés.
B. Jennane (1984)
Mathematische Annalen
Problème de Levi et morphisme localement de Stein.
B. Jennane (1981)
Mathematische Annalen
Problemi di Cousin e di Poincaré per spazi di Stein non ridotti
F. Acquistapace, F. Broglia (1973)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Proper Holomorphic Images of Strictly Pseudoconvex Domains.
Klas Diederich, John Eric Fornaess (1982)
Mathematische Annalen
Properties of Peak Sets in Weakly Pseudoconvex Boundaries in C2.
Alan V. Noell (1984)
Mathematische Zeitschrift
Propriété de Runge et enveloppe d'holomorphie de certaines variétés analytiques de dimensions infinies
Gérard Cœuré (1974)
Bulletin de la Société Mathématique de France
Pseudoconvex Domains: An Example with Nontrivial Nebenhülle.
Klas Diederich, John Erik Fornaess (1977)
Mathematische Annalen
Pseudoconvex Domains: Bounded Strictly Plurisubharmonic Exhaustion Functions
J.E. Fornaess, K. Diederich (1977)
Inventiones mathematicae
Pseudoconvex domains on complex spaces with singularities
Mihnea Coltoiu, Nicolae Mihalache (1989)
Compositio Mathematica
Pseudo-convexité locale dans les variétés kahlériennes
Georges Elencwajg (1975)
Annales de l'institut Fourier
Soit un ouvert relativement compact et localement pseudo-convexe de la variété analytique .Alors,1) Si le fibré tangent est positif, est -convexe.2) Si admet une fonction strictement plurisousharmonique, est de Stein.3) Si est l’espace total d’un morphisme de Stein à base de Stein, est de Stein.