Abstract

Let M be a complex-analytic manifold(1) of complex dimension n>2 . Given an open domain D c c M , a proper closed subset K of the boundary bD of D is called removable in case b D K is CLsmooth and every continuous CRfunction f on b D K has a continuous extension F to D K which is holomorphic on D. A general account of the subject of removable sets is given in [19], where one can also find most of the related references. One main result in this area is the following characterization of removable sets in the two-dimensional case (see [19; II.10]):

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