Minimal dimension families of complex lines sufficient for holomorphic extension of functions |
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Authors: | A M Kytmanov S G Myslivets V I Kuzovatov |
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Institution: | 1.Siberian Federal University,Krasnoyarsk,Russia |
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Abstract: | We consider continuous functions given on the boundary of a bounded domain D in ℂ
n
, n > 1, with the one-dimensional holomorphic extension property along families of complex lines. We study the existence of holomorphic
extensions of these functions to D depending on the dimension and location of the families of complex lines. |
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Keywords: | |
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