On holomorphic continuation of functions defined on a~pencil of~boundary complex lines

S. A. Imomkulov

Izvestiya. Mathematics , Tome 69 (2005) no. 2, pp. 345-363.

Résumé

We study domains of holomorphy of functions having thin singularities along a fixed direction. We prove a boundary analogue of Hartogs' theorem on the holomorphic continuation of functions of several variables that admit holomorphic continuation in one variable.

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