Geodesic
Localization of the extended stochastic integral
Sbornik. Mathematics, Tome 197 (2006) no. 9, pp. 1273-1295

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A sufficient condition for the localization of the extended stochastic integral with respect to a Gaussian measure in an infinite-dimensional space is presented. In the finite-dimensional case, for a vector field $v$ in the Sobolev class a condition ensuring the vanishing divergence of $v$ at the zero set of the field itself is presented. Bibliography: 12 titles. 
@article{SM_2006_197_9_a1,
     author = {A. M. Gomilko and A. A. Dorogovtsev},
     title = {Localization of the extended stochastic integral},
     journal = {Sbornik. Mathematics},
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     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2006_197_9_a1/}
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A. M. Gomilko; A. A. Dorogovtsev. Localization of the extended stochastic integral. Sbornik. Mathematics, Tome 197 (2006) no. 9, pp. 1273-1295. http://geodesic.mathdoc.fr/item/SM_2006_197_9_a1/