Geodesic
Green's formula on a Hilbert space
Sbornik. Mathematics, Tome 47 (1984) no. 1, pp. 215-222 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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