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Wiener integral for the coordinate process underthe σ-finite measure unifying Brownian penalisations

Published online by Cambridge University Press:  15 October 2010

Kouji Yano
Kouji Yano*
Affiliation:
Department of Mathematics, Graduate School of Science, Kobe University, Kobe, Japan. [email protected]
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Abstract

Wiener integral for the coordinate process is defined under the σ-finite measure unifying Brownian penalisations, which has been introduced by [Najnudel et al., C. R. Math. Acad. Sci. Paris 345 (2007) 459–466] and [Najnudel et al., MSJ Memoirs 19. Mathematical Society of Japan, Tokyo (2009)]. Its decomposition before and after last exit time from 0 is studied. This study prepares for the author's recent study [K. Yano, J. Funct. Anal. 258 (2010) 3492–3516] of Cameron-Martin formula for the σ-finite measure.

Keywords

Stochastic integralBrownian motionBessel processpenalisation
Type
Research Article
Information
ESAIM: Probability and Statistics , Volume 15: Supplement: In honor of Marc Yor , 2011 , pp. S69 - S84
Copyright
© EDP Sciences, SMAI, 2011

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References

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