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 < 1
for functions fj that are holomorphic on some neighborhood of the closure of U, such that the faces of the Weil domain all have dimension 2n − 1, and the intersections of k faces have codimension at least k.