Let $i:H\rightarrow W$ be the canonical Wiener space where $W$={$\sigma :[0,T]\rightarrow {R}$ continuous with $\sigma \left( 0\right) =0\rbrace $, $H$ is the Cameron-Martin space and $i$ is the inclusion. We lift a isometry $H\rightarrow l_{2}$ to a linear isomorphism $\Phi :W\rightarrow {\cal V}\subset {R}^{\infty }$ which pushes forward the Wiener structure into the abstract Wiener space (AWS) $i:l_{2}\rightarrow {\cal V}$. Properties of the Wiener integration in this AWS are studied.
@article{107722,
author = {Alexandre de Andrade and Paulo R. C. Ruffino},
title = {Wiener integral in the space of sequences of real numbers},
journal = {Archivum Mathematicum},
volume = {036},
year = {2000},
pages = {95-101},
zbl = {1045.60003},
mrnumber = {1761614},
language = {en},
url = {http://dml.mathdoc.fr/item/107722}
}
de Andrade, Alexandre; Ruffino, Paulo R. C. Wiener integral in the space of sequences of real numbers. Archivum Mathematicum, Tome 036 (2000) pp. 95-101. http://gdmltest.u-ga.fr/item/107722/
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