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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 24, Fasc. 2,
pages 355 - 366
 

PRINCIPAL EIGENVALUES FOR TIME CHANGED PROCESSES OF ONE-DIMENSIONAL a -STABLE PROCESSES

Yuichi Shiozawa

Abstract: In this paper, we calculate the principal eigenvalues for time changed processes of Brownian motions and symmetric a -stable processes in one dimension.

2000 AMS Mathematics Subject Classification: 31C25, 60G52, 60J45, 60J55.

Key words and phrases: Principal eigenvalue, symmetric a -stable process, time change, gaugeability, Dirichlet form.

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