Mathematics – Probability
Scientific paper
2009-09-28
Mathematics
Probability
Scientific paper
Wiener integral for the coordinate process is defined under the $ \sigma
$-finite measure unifying Brownian penalisations, which has been introduced by
Najnudel, Roynette and Yor. Its decomposition before and after last exit time
from 0 is studied. This study prepares for the author's recent study of
Cameron--Martin formula for the $ \sigma $-finite measure.
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