Asymptotic behavior of densities of unimodal convolution semigroups

Abstract

We prove the asymptotic formulas for the transition densities of isotropic unimodal convolution semigroups of probability measures on ${\mathbb{R}}^d$ under the assumption that its Lévy--Khintchine exponent is regularly varying of index between $0$ and $2$.

We added Section 3; paper accepted in Transactions of AMS

References in corpus (1)

• Asymptotic behaviour and estimates of slowly varying convolution semigroups

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