Generalization of the ``Edge-of-the-Wedge'' Theorem

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Abstract
It is proved that two analytic functions of several complex variables, having the same boundary values when the imaginary parts of the variables tend to zero inside two arbitrary, but fixed, open cones, possess a common analytic continuation in a certain open set. This is a generalization of the ``edge‐of‐the‐wedge'' theorem, a proof of which is obtained in passing.