ON EXTENSION OF CR FUNCTIONS FROM PIECEWISE SMOOTH MANIFOLDS INTO A WEDGE

摘要

In this paper we study a holomorphic extendibility of CR functions on manifolds in C~N, i.e., functions which are annihilated by all tangential Cauchy-Riemann differential operators. The following classical result says roughly that every CR function on an "angle" formed by manifolds extends analytically into a wedge if the manifolds intersect in a certain "generic" way. The latter condition is formulated in terms of defining functions.