Hartogs Extension For Generalized Tubes in CN

In 1906, Hartogs proved his famous holomorphic extension theorem for bounded domains in Cn, however, not many results of this type exist for unbounded ones. One of such, already a classical result, is the Bochner tube theorem from 1938, and in this paper we consider its generalization to “widening tubes”. Namely, we establish a sufficient condition for holomorphic extension of CR functions from the boundary of a certain class of domains in Cn, n≥2, which possess a growth condition at infinity