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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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 | References | Similar Articles | Additional Information

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
Email: takeda@math.tohoku.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08281-5
PII: S 0002-9939(06)08281-5
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.