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Asymptotic behavior of densities of unimodal convolution semigroups

Published 30 Apr 2015 in math.PR and math.FA | (1504.08358v2)

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 L\'{e}vy--Khintchine exponent is regularly varying of index between $0$ and $2$.

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