On the linearized Vlasov-Poisson system on the whole space around stable homogeneous equilibria

We study the linearized Vlasov–Poisson system around suitably stable homogeneous equilibria on $${\mathbb {R}}^d\times {\mathbb {R}}^d$$ (for any $$d \ge 1$$ ) and establish dispersive $$L^\infty $$ decay estimates in the physical space.