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.
@article{urn:eudml:doc:41067, title = {Rational approximation near zero sets of functions.}, journal = {Publicacions Matem\`atiques}, volume = {33}, year = {1989}, pages = {59-68}, zbl = {0691.30032}, mrnumber = {MR1004225}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41067} }
Paramonov, Peter V. Rational approximation near zero sets of functions.. Publicacions Matemàtiques, Tome 33 (1989) pp. 59-68. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41067/