This paper presents certain characterizations through blowing up of arc-analytic functions definable by a convergent Weierstrass system closed under complexification.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap100-1-9, author = {Krzysztof Jan Nowak}, title = {On arc-analytic functions definable by a Weierstrass system}, journal = {Annales Polonici Mathematici}, volume = {101}, year = {2011}, pages = {99-104}, zbl = {1221.32002}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap100-1-9} }
Krzysztof Jan Nowak. On arc-analytic functions definable by a Weierstrass system. Annales Polonici Mathematici, Tome 101 (2011) pp. 99-104. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap100-1-9/