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Gaugeability for Feynman-Kac functionals with applications to symmetric $ \alpha$-stable processes

Author: Masayoshi Takeda
Journal: Proc. Amer. Math. Soc. 134 (2006), 2729-2738
MSC (2000): Primary 60J45, 60J40, 35J10
Published electronically: March 22, 2006
MathSciNet review: 2213753
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Abstract: For symmetric $ \alpha$-stable processes, an analytic criterion for a measure being gaugeable was obtained by Z.-Q. Chen (2002), M. Takeda (2002) and M. Takeda and T. Uemura (2004). Applying it, we consider the ultracontractivity of Feynman-Kac semigroups and expectations of the number of branches hitting closed sets in branching symmetric $ \alpha$-stable processes.

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Additional Information

Masayoshi Takeda
Affiliation: Mathematical Institute, Tohoku University, Aoba, Sendai, 980-8578, Japan

Keywords: Symmetric stable process, gaugeability, subcriticality, ultracontractivity, branching process
Received by editor(s): September 17, 2004
Received by editor(s) in revised form: March 30, 2005
Published electronically: March 22, 2006
Additional Notes: The author was supported in part by Grant-in-Aid for Scientific Research (No.15530229 (C)(2)), Japan Society for the Promotion of Science.
Communicated by: Richard C. Bradley
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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