A Gaussian bound for convolutions of functions on locally compact groups

• Autorzy: Nick Dungey
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 60G50: Sums of independent random variables; random walks
• 60B15: Probability measures on groups or semigroups, Fourier transforms, factorization
• 22E30: Analysis on real and complex Lie groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 176
• Numer: 3
• Strony: 201-213

Daty

wydano

2006

Twórcy

autor

Nick Dungey

• School of Mathematics, The University of New South Wales, Sydney 2052, Australia

Identyfikatory

DOI

10.4064/sm176-3-2