On a boundary analog of the Forelli theorem |
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Authors: | V I Kuzovatov A M Kytmanov |
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Institution: | 1. Institute of Mathematics and Computer Sciences, Krasnoyarsk, Russia
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Abstract: | A boundary analog of the Forelli theorem for real-analytic functions is established, i.e., it is demonstrated that each real-analytic function f defined on the boundary of a bounded strictly convex domain D in the multidimensional complex space with the one-dimensional holomorphic extension property along families of complex lines passing through a boundary point and intersecting D admits a holomorphic extension to D as a function of many complex variables. |
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