Geodesic
Holomorphic continuation of functions from closed hypersurfaces with singular edges
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2012), pp. 12-21

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We study the Bochner–Martinelli integral in a bounded domain $D$ in $\mathbb C^n$ whose boundary contains a finite number of singular edges. As an application we obtain generalizations of Hartogs–Bochner and Aizenberg–Kytmanov theorems on the holomorphic continuation of functions from the domain boundary into the domain.
Keywords: singular wedge, Bochner–Martinelli integral, holomorphic continuation. 
@article{IVM_2012_1_a1,
     author = {D. Kh. Dzhumabaev},
     title = {Holomorphic continuation of functions from closed hypersurfaces with singular edges},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {12--21},
     publisher = {mathdoc},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_1_a1/}
}
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D. Kh. Dzhumabaev. Holomorphic continuation of functions from closed hypersurfaces with singular edges. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2012), pp. 12-21. http://geodesic.mathdoc.fr/item/IVM_2012_1_a1/