A Gaussian bound for convolutions of functions on locally compact groups

• Autores: Nick Dungey
• Localización: Studia mathematica, ISSN 0039-3223, Vol. 176, Nº 3, 2006, págs. 201-213
• Idioma: inglés
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• Resumen

  • 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