Abstract Given an o-minimal structure expanding the field of reals, we show a piecewise Weierstrass preparation theorem and a piecewise Weierstrass division theorem for definable holomorphic functions ...

Sabyasachi Chatterjee, Subhajit Goswami, ADAPTIVE ESTIMATION OF MULTIVARIATE PIECEWISE POLYNOMIALS AND BOUNDED VARIATION FUNCTIONS BY OPTIMAL DECISION TREES, The Annals of Statistics, Vol. 49, No. 5 ...