Geodesic
A Gaussian bound for convolutions of functions on locally compact groups
Nick Dungey1
1 School of Mathematics The University of New South Wales Sydney 2052, Australia
Studia Mathematica, Tome 176 (2006) no. 3, pp. 201-213 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We give new and general sufficient conditions for a Gaussian upper bound on the convolutions $K_{m+n} * K_{m+n-1} * \cdots * K_{m+1}$ of a suitable sequence $K_1, K_2, K_3, \ldots$ 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.
DOI : 10.4064/sm176-3-2
Keywords: general sufficient conditions gaussian upper bound convolutions * n * cdots * suitable sequence ldots complex valued functions unimodular compactly generated locally compact group applications obtain gaussian bounds convolutions suitable probability densities convolutions small perturbations densities

Nick Dungey 1

1 School of Mathematics The University of New South Wales Sydney 2052, Australia 
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Nick Dungey. A Gaussian bound for convolutions of functions 
on locally compact groups. Studia Mathematica, Tome 176 (2006) no. 3, pp. 201-213. doi: 10.4064/sm176-3-2

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