# A Gaussian bound for convolutions of functions on locally compact groups

Studia Mathematica (2006)

- Volume: 176, Issue: 3, page 201-213
- ISSN: 0039-3223

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topNick 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 -

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