Resumen de A Gaussian bound for convolutions of functions on locally compact groups

Nick Dungey

• We give new and general sufficient conditions for a Gaussian upper bound on the convolutions Km+n _Km+n-1 _ · · · _Km+1 of a suitable sequence K1,K2,K3, . . . of complex-valued functions on a unimodular, compactly generated locally compact group. As applications, we obtain Gaussian bounds for convolutions of suitable probability den- sities, and for convolutions of small perturbations of densities