Asymptotic behavior of densities of unimodal convolution semigroups
classification
🧮 math.PR
math.FA
keywords
asymptoticconvolutiondensitiessemigroupsunimodalassumptionbehaviorexponent
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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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