A Gaussian bound for convolutions of functions on locally compact groups
Studia Mathematica, Tome 176 (2006) no. 3, p. 201.

Voir la notice de l'article dans European Digital Mathematics Library

We give new and general sufficient conditions for a Gaussian upper bound on the convolutions K m + n ∗ K m + n - 1 ∗ ⋯ ∗ K m + 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 densities, and for convolutions of small perturbations of densities.
Classification : 60G50, 22E30, 60B15
Mots-clés : probability density, random walk 
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Nick Dungey. A Gaussian bound for convolutions of functions on locally compact groups. Studia Mathematica, Tome 176 (2006) no. 3, p. 201. https://geodesic-test.mathdoc.fr/item/STUMA_2006__176_3_285125/