A relative Grace Theorem for complex polynomials

作者:Plaumann Daniel*; Putinar Mihai
来源:Mathematical Proceedings of the Cambridge Philosophical Society, 2016, 161(1): 17-30.
DOI:10.1017/S0305004116000062

摘要

We study the pullback of the apolarity invariant of complex polynomials in one variable under a polynomial map on the complex plane. As a consequence, we obtain variations of the classical results of Grace and Walsh in which the unit disk, or a circular domain, is replaced by its image under the given polynomial map.

  • 出版日期2016-7