分野別セミナー

講演要旨：I will consider a class of symmetric Lévy processes
subject to a regularity condition on the large jumps and
discuss conditions on the IUC of Feynman-Kac semigroups relative
to these processes under Kato-class potentials. I will give
probabilistic characterizations of asymptotic IUC and identify
the borderline potentials expressed in terms of the Lévy density.
Also, I will discuss pointwise estimates of the ground state and
higher order eigenfunctions of the generators of these processes.
Examples include a large class of subordinate Brownian motions
and other Lévy processes.