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Bergman–Weil formula : ウィキペディア英語版
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 C''n'' defined by inequalities ''f''''j''(''z'') < 1
for functions ''f''''j'' 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 2''n'' − 1, and the intersections of ''k'' faces have codimension at least ''k''.

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