PRINCIPAL EIGENVALUES FOR TIME CHANGED PROCESSES OF
ONE-DIMENSIONAL
-STABLE PROCESSES
Abstract: In this paper, we calculate the principal eigenvalues for time changed
processes of Brownian motions and symmetric
-stable processes in one dimension.
2000 AMS Mathematics Subject Classification: 31C25, 60G52, 60J45, 60J55.
Key words and phrases: Principal eigenvalue, symmetric
-stable process, time
change, gaugeability, Dirichlet form.