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Contents of PMS, Vol. 13, Fasc. 2,
pages 229 - 238
 

ON CANONICAL REPRESENTATIONS OF STABLE Mt -PROCESSES

Katsuya Kojo
Shigeo Takenaka

Abstract: Using integral geometry a symmetric a stable system is constructed as a stable analogue of Lévy’s multiparameter Brownian motion. M t -process is the spherical mean process of this stable system. In the case of odd dimension, a concrete example of canonical representation of M t -process is obtained through this construction.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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