Access the full text.
Sign up today, get DeepDyve free for 14 days.
(1994)
Enveloppes polynomiales locales d’unions de variétés réelles et de variétés réelles singulières
(1991)
Unions minimales de n-plans réels d'enveloppeégaleà C n
J. Wermer (1964)
Approximation on a diskMathematische Annalen, 155
E. Stout, W. Zame (1985)
Totally real imbeddings and the universal covering spaces of domains of holomorphy: Some examplesmanuscripta mathematica, 50
(1991)
Unions minimales de n-plans réels d’enveloppe égale à C
(1965)
Fat polynomially convex sets’, Function Algebras
N. Levenberg (1998)
POLYNOMIAL HULLS WITH NO ANALYTIC STRUCTURE
(1971)
The theory of uniform algebras (Bogden and Quigley, Tarrytown-on-Hudson
(1984)
Kytmanov, ‘An example of a non-polynomially convex compact set consisting of three disjoint ellipsoids
(1993)
Approximation on a disk III
M. Smirnov, E. Chirka (1991)
Polynomial convexity of some sets in CnMathematical notes of the Academy of Sciences of the USSR, 50
Carl Mueller (1996)
Local patching for convex sets in CnThe Journal of Geometric Analysis, 6
A. O’Farrell, J. Paepe (1993)
Approximation on a disk IIMathematische Zeitschrift, 212
(1984)
Polynomial and rational convexity of a system of ellipsoids in C n
Barnet Weinstock (1988)
On the polynomial convexity of the union of two maximal totally real subspaces of ℂnMathematische Annalen, 282
(1991)
Chirka, ‘Polynomial convexity of some sets in C
E. Stout (1971)
The theory of uniform algebras
P. Paepe (1994)
Algebras of continuous functions on disks
(1984)
Kytmanov, ‘Polynomial and rational convexity of a system of ellipsoids in C
Vries Instituut Universiteit van Amsterdam Plantage Muidergracht 24 1018 TV Amsterdam The Netherlands e-mail: depaepe@science.uva
(1974)
Function theory on differentiable submanifolds’, Contributions to analysis
(1985)
Polynomially convex neighborhoods of hyperbolic points
P. Paepe (1993)
Approximation on a disk IVIndagationes Mathematicae, 6
F. Forstnerič, E. Stout (1991)
A new class of polynomially convex setsArkiv för Matematik, 29
(1969)
Uniform algebras (Prentice-Hall
(1984)
An example of a non-polynomially convex compact set consisting of three disjoint ellipsoids
(1987)
Polynomial and rational convexity of the union of compact sets in C
(1996)
Polynomial convexity of some sets in C n ’ , Math
P. Thomas (1990)
Enveloppes polynomiales d'unions de plans réels dans ${\Bbb C}^n$Annales de l'Institut Fourier, 40
(1990)
Enveloppes polynomiales d’unions de plans réels dans C
R. Wells (1974)
Function Theory on Differentiable Submanifolds
P. Paepe (1986)
Approximation on disks, 97
(1992)
Local hull of the union of an open set and a real plane in C2
(1985)
some examples’, Manuscripta Math
E. Kallin (1965)
Polynomial Convexity: The Three Spheres Problem
(1993)
Enveloppes polynomiales de variétés réelles dans C n
(1984)
Holomorphic approximation in Lipschitz norms
(1993)
Enveloppes polynomiales de variétés réelles dans C
(1965)
the three spheres problem’, Proc
(1987)
Polynomial and rational convexity of the union of compact sets in C n
Abstract We give a survey on the use of Eva Kallin's lemma. This lemma gives a condition on two polynomially convex sets in Cn under which their union is polynomially convex. This result has proved to be a useful tool in different areas of complex function theory of several variables, for instance in the study of polynomial convexity of the union of totally real surfaces, and in approximation problems in function algebras. © London Mathematical Society
Bulletin of the London Mathematical Society – Oxford University Press
Published: Jan 1, 2001
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.