Bergman–Weil formula

In mathematics, the Bergman–Weil formula is an integral representation for holomorphic functions of several variables generalizing the Cauchy integral formula. It was introduced by and.

Weil domains
A Weil domain is an analytic polyhedron with a domain U in Cn defined by inequalities fj(z) < 1 for functions fj that are holomorphic on some neighborhood of the closure of U, such that the faces of the Weil domain (where one of the functions is 1 and the others are less than 1)  all have dimension 2n &minus; 1, and the intersections of k faces  have codimension at least k.