- journal article metadata
European Mathematical Society Publishing House
2017-08-25 23:45:01
L’Enseignement Mathématique
Enseign. Math.
LEM
0013-8584
2309-4672
General
10.4171/LEM
http://www.ems-ph.org/doi/10.4171/LEM
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© Fondation L’Enseignement Mathématique
62
2016
3
Rational approximation and Lagrangian inclusions
Rasul
Shafikov
The University of Western Ontario, London, Canada
Alexandre
Sukhov
Université des Sciences et Technologies de Lille, France
Rational convexity, polynomial convexity, Lagrangian manifold, symplectic structure, plurisubharmonic function
We show that any real compact surface $S$, except the sphere $S^2$ and the projective plane $\mathbb RP_2$, admits a pair of smooth complex-valued functions $f_1, f_2$ with the property that any continuous complex-valued function on $S$ is a uniform limit of a sequence of $R_j (f_1, f_2)$, where $R_j (z_1, z_2)$ are rational functions on $\mathbb C^2$.
Several complex variables and analytic spaces
Differential geometry
487
499
10.4171/LEM/62-3/4-6
http://www.ems-ph.org/doi/10.4171/LEM/62-3/4-6