An analog of the Hartogs theorem in a ball of |
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Authors: | Alexander M Kytmanov Simona G Myslivets |
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Institution: | Siberian Federal University, Krasnoyarsk, Russia |
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Abstract: | In this paper we consider continuous functions given on the boundary of a ball B in , , and having a one‐dimensional property of holomorphic extension along the families of complex lines, passing through a finite number of points of B. We study the problem of existence of holomorphic extension of such functions in the ball B. |
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Keywords: | Holomorphic extension integral representation ball 32A25 32A26 32D15 |
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