We give new and general sufficient conditions for a Gaussian upper bound on the convolutions 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm176-3-2,
author = {Nick Dungey},
title = {A Gaussian bound for convolutions of functions on locally compact groups},
journal = {Studia Mathematica},
volume = {173},
year = {2006},
pages = {201-213},
zbl = {1105.60008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm176-3-2}
}
Nick Dungey. A Gaussian bound for convolutions of functions on locally compact groups. Studia Mathematica, Tome 173 (2006) pp. 201-213. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm176-3-2/