Rational approximation and Lagrangian inclusions

  • Rasul Shafikov

    The University of Western Ontario, London, Canada
  • Alexandre Sukhov

    Université des Sciences et Technologies de Lille, France


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