Geodesic
Banach cohomology of piecewise strictly pseudoconvex domains
Sbornik. Mathematics, Tome 17 (1972) no. 2, pp. 237-256

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We prove the directness and exactness of the Dolbeault Banach complex for a strictly pseudoconvex domain whose boundary consists of a finite series of smooth pieces which intersect in general position. Bibliography: 5 titles. 
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     author = {P. L. Polyakov},
     title = {Banach cohomology of piecewise strictly pseudoconvex domains},
     journal = {Sbornik. Mathematics},
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     volume = {17},
     number = {2},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1972_17_2_a5/}
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P. L. Polyakov. Banach cohomology of piecewise strictly pseudoconvex domains. Sbornik. Mathematics, Tome 17 (1972) no. 2, pp. 237-256. http://geodesic.mathdoc.fr/item/SM_1972_17_2_a5/