We show that Jensen measures defined on Cn or more generally on a complex Banach space X can be approximated by the image of Lebesgue measure on the torus under X-valued polynomials defined on C. We ...
Lectures on the Theory of Functions of a Complex Variable By Prof. G. Sansone, and Dr. Johan Gerretsen. Vol. 1: Holomorphic Functions. Pp. xvi + 488. (Groningen: P ...
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 ...