Strong convexity for harmonic functions on compact symmetric spaces

Gabor Lippner, Dan Mangoubi, Zachary McGuirk +1

Let $h$ be a harmonic function defined on a spherical disk. It is shown that ${\Delta }^k|h{|}^2$ is nonnegative for all $k\in \mathbb{N}$ where $\Delta$ is the Laplace-Beltrami operator. This f…