2 papers
math.CV2012
Gauss-Lucas Theorems for Entire Functions on CM
Marek Kanter
A Gauss-Lucas theorem is proved for multivariate entire functions, using a natural notion of separate convexity to obtain sharp results. Previous work in this area is mostly restri…
math.CV2012
Multivariate Gauss-Lucas Theorems
Marek Kanter
A multivariate Gauss-Lucas theorem is proved, sharpening and generalizing previous results on this topic. The theorem is stated in terms of a seemingly new notion of convexity. App…