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Effect of drift of the generalized Brownian motion process: an example for the analytic Feynman integral. (English) Zbl 1342.28028

The authors summarize the contents of this paper in the abstract as follows: In the theory of the analytic Feynman integral, the integrand is a functional of the standard Brownian motion process. In this note, we present an example of a bounded functional which is not Feynman integrable. The bounded functionals discussed in this note are defined in sample paths of the generalized Brownian motion process.

MSC:

28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
60J65 Brownian motion
46G12 Measures and integration on abstract linear spaces
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