Abstract
We give new and general sufficient conditions for a Gaussian upper bound on the convolutions Km₊n *Km₊n₋₁ * · · · *Km₊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.
| Original language | English |
|---|---|
| Pages (from-to) | 201-213 |
| Number of pages | 13 |
| Journal | Studia Mathematica |
| Volume | 176 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2006 |
Keywords
- Gaussian bound
- probability density
- convolution
- locally compact group
- random walk