Abstract:
This article presents a solution of the problem of one-sided holomorphic extension of a function f defined on a smooth hypersurface Γ∋0 dividing the unit ball B
in Cn into two domains. In addition, it discusses the possibility of replacing the ball by another domain.
Citation:
L. A. Aizenberg, A. M. Kytmanov, “On the possibility of holomorphic extension into a domain of function defined on a connected piece of its boundary”, Math. USSR-Sb., 72:2 (1992), 467–483
\Bibitem{AizKyt91}
\by L.~A.~Aizenberg, A.~M.~Kytmanov
\paper On the possibility of holomorphic extension into a~domain of function defined on a~connected piece of its boundary
\jour Math. USSR-Sb.
\yr 1992
\vol 72
\issue 2
\pages 467--483
\mathnet{http://mi.mathnet.ru/eng/sm1307}
\crossref{https://doi.org/10.1070/SM1992v072n02ABEH002148}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1119005}
\zmath{https://zbmath.org/?q=an:0782.30003|0741.30002}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..72..467A}
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