7 papers
Energy integrals and asymmetric co-potentials for closed forms
Kazuhiro Kuwae, Takumu Ooi, Kaneharu Tsuchida +1
We investigate the class of measures of finite energy integrals and the behavior of potentials and co-potentials associated with non-symmetric closed forms. In particular, we compa…
Critical spectral behavior and large deviations for geometric -stable processes
Kaneharu Tsuchida
In this paper, we study the Schrödinger-type operator associated with geometric stable processes on , especially the differentiability of spectral function. Let $\…
Classification and Metrization of Classes of Smooth measures
Takumu Ooi, Kaneharu Tsuchida, Toshihiro Uemura
We classify the several classes of the set of smooth measures from the perspective of the denseness and the locality, and consider their relationships, in particular, that of the K…
A note on geometric α-stable processes and the existence of ground states for associated Schrödinger operators
Kaneharu Tsuchida
In this paper, we establish the existence of transition density for geometric -stable processes by using the property of self-decomposability--a fundamental concept in the theo…
Smooth measures and positive continuous additive functionals attached to a compact nest
Takumu Ooi, Kaneharu Tsuchida, Toshihiro Uemura
The relationship between smooth measures and positive continuous additive functionals is well known, and this correspondence is called the Revuz correspondence. We investigate the…
Harmonic functions for recurrent symmetric -stable processeses with non-local perturbations
Kaneharu Tsuchida
Let be the recurrent symmetric (relativistic) -stable process on . Let be a Schrödinger type oper…