Rational approximation near zero sets of functions.
The paper deals with the relation between global rational approximation and local approximation off the zero set. Also connections with the problem f2 ∈ R(X) ⇒ f ∈ R(X) are studied.
Rational Chebyshev Approximation on the Unit Disk.
Rational interpolants with preassigned poles, theoretical aspects
Let ⨍ be an analytic function on a compact subset K of the complex plane ℂ, and let denote the rational function of degree n with poles at the points and interpolating ⨍ at the points . We investigate how these points should be chosen to guarantee the convergence of to ⨍ as n → ∞ for all functions ⨍ analytic on K. When K has no “holes” (see [8] and [3]), it is possible to choose the poles without limit points on K. In this paper we study the case of general compact sets K, when such a separation...
Rational interpolation: analytical solution.
Rational modules and higher order Cauchy transforms.
Ray sequences of Laurent-type rational functions.
Remarks of the lemma of Nersesyan in complex approximation
Représentation des fonctions par des séries de polynômes
Rigidité des empilements infinis immergés proprement dans le plan et dans le disque