1 citations · 1 across the 4 of their papers we have counts for
4 papers
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 theor…
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 operator…
On a convergence of positive continuous additive functionals in terms of their smooth measures
Yasuhito Nishimori, Matsuyo Tomisaki, Kaneharu Tsuchida +1
A compactness of the Revuz map is established in the sense that the locally uniform convergence of a sequence of positive continuous additive functionals is derived in terms of the…