A Gaussian bound for convolutions of functions on locally compact groups

Nick Dungey. "A Gaussian bound for convolutions of functions on locally compact groups." Studia Mathematica 176.3 (2006): 201-213. <http://eudml.org/doc/285125>.

@article{NickDungey2006,
abstract = {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.},
author = {Nick Dungey},
journal = {Studia Mathematica},
keywords = {probability density; random walk},
language = {eng},
number = {3},
pages = {201-213},
title = {A Gaussian bound for convolutions of functions on locally compact groups},
url = {http://eudml.org/doc/285125},
volume = {176},
year = {2006},
}

TY - JOUR
AU - Nick Dungey
TI - A Gaussian bound for convolutions of functions on locally compact groups
JO - Studia Mathematica
PY - 2006
VL - 176
IS - 3
SP - 201
EP - 213
AB - 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.
LA - eng
KW - probability density; random walk
UR - http://eudml.org/doc/285125
ER -