We give a criterion for a real-analytic function defined on a compact nonsingular real algebraic set to be analytically equivalent to a rational function.
@article{bwmeta1.element.bwnjournal-article-apmv66z1p37bwm, author = {J. Bochnak and M. Buchner and W. Kucharz}, title = {Equivalence of analytic and rational functions}, journal = {Annales Polonici Mathematici}, volume = {66}, year = {1997}, pages = {37-42}, zbl = {0879.32006}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv66z1p37bwm} }
J. Bochnak; M. Buchner; W. Kucharz. Equivalence of analytic and rational functions. Annales Polonici Mathematici, Tome 66 (1997) pp. 37-42. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv66z1p37bwm/
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