Geodesic
Surface measures in infinite-dimensional spaces
Matematičeskie zametki, Tome 63 (1998) no. 1, pp. 106-114.

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We construct surface measures for surfaces of codimension $n\ge1$ in Banach spaces, and in a wide class of locally convex spaces. It is assumed that the determining function has a continuous derivative along a subspace. 
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     title = {Surface measures in infinite-dimensional spaces},
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     number = {1},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_1_a10/}
}
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O. V. Pugachev. Surface measures in infinite-dimensional spaces. Matematičeskie zametki, Tome 63 (1998) no. 1, pp. 106-114. http://geodesic.mathdoc.fr/item/MZM_1998_63_1_a10/

[1] Skorokhod A. V., Integrirovanie v gilbertovom prostranstve, Nauka, M., 1975

[2] Uglanov A. V., “Poverkhnostnye mery v banakhovom prostranstve”, Matem. sb., 110:2 (1979), 189–217 | MR | Zbl

[3] Airault H., Malliavin P., “Intégration géométrique sur l'espace de Wiener”, Bull. Sci. Math. (2), 112 (1988), 3–52 | MR | Zbl

[4] Bogachev V. I., “Smooth measures, the Malliavin calculus and approximations in infinite-dimensional spaces”, Acta Univ. Carolin. Math. Phys., 31:2 (1990), 9–23 | MR | Zbl

[5] Yakhlakov V. Yu., “Poverkhnostnye mery na poverkhnostyakh konechnoi korazmernosti v banakhovom prostranstve”, Matem. zametki, 47:4 (1990), 147–156 | MR | Zbl

[6] Stein I., Singulyarnye integraly i differentsialnye svoistva funktsii, Mir, M., 1973

[7] Uglanov A. V., “Poverkhnostnye integraly v lineinykh topologicheskikh prostranstvakh”, Dokl. RAN, 344:4 (1995), 450–453 | MR | Zbl