Precise asymptotic approximations for the kernels corresponding to the Lévy processes

Abstract

Using complex analysis techniques we obtain precise asymptotic approximations for the kernels corresponding to the symmetric $\alpha$-stable processes and their fractional derivatives. We apply our method to general Lévy processes whose characteristic functions are radial and satisfy some regularity and size conditions.

20 pages

References in corpus (1)

• Sharp heat kernel estimates for relativistic stable processes in open sets