Rational approximation and Lagrangian inclusions
Rasul Shafikov
The University of Western Ontario, London, CanadaAlexandre Sukhov
Université des Sciences et Technologies de Lille, France
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Abstract
We show that any real compact surface , except the sphere and the projective plane , admits a pair of smooth complex-valued functions with the property that any continuous complex-valued function on is a uniform limit of a sequence of , where are rational functions on .
Cite this article
Rasul Shafikov, Alexandre Sukhov, Rational approximation and Lagrangian inclusions. Enseign. Math. 62 (2016), no. 3/4, pp. 487–499
DOI 10.4171/LEM/62-3/4-6