Monomial Moving Zeros for the Heat Semigroup: An Explicit Finite-Order Differential Hierarchy

Gerardo Hernandez-del-Valle

Let $P_t=\exp(t\D^2/2)$ be the heat semigroup. For every integer $k\ge 2$ and parameter $ρ\in\C$, we construct an entire function ${\Gamma }_{\rho ,k}$ whose heat evolution has the prescribed…