Gaugeability for Feynman-Kac functionals with applications to symmetric 𝛼-stable processes

Takeda, Masayoshi

doi:10.1090/S0002-9939-06-08281-5

Gaugeability for Feynman-Kac functionals with applications to symmetric $\alpha$-stable processes
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Proc. Amer. Math. Soc. 134 (2006), 2729-2738 Request permission

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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