Geodesic
Green's formula on a Hilbert space
Sbornik. Mathematics, Tome 47 (1984) no. 1, pp. 215-222

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The first Green's formula for integrals on a Hilbert space is proved. Using this formula the authors establish, in particular, the following result. Theorem. A nondegenerate quadratic functional of a Wiener random process has an infinitely differentiate distribution function. Bibliography: 9 titles. 
@article{SM_1984_47_1_a11,
     author = {E. I. Efimova and A. V. Uglanov},
     title = {Green's formula on a {Hilbert} space},
     journal = {Sbornik. Mathematics},
     pages = {215--222},
     publisher = {mathdoc},
     volume = {47},
     number = {1},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1984_47_1_a11/}
}
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E. I. Efimova; A. V. Uglanov. Green's formula on a Hilbert space. Sbornik. Mathematics, Tome 47 (1984) no. 1, pp. 215-222. http://geodesic.mathdoc.fr/item/SM_1984_47_1_a11/