✍ Scribed by Peter Arrhén
No coin nor oath required. For personal study only.
The fact that the analyticity domain .-~'4 of the four-point function is bounded by nonanalytic hypersurfaces implies that the Bergman-Weil integral is not applicable to the fourpoint function. However, as shown by Svensson 5), there exists a special integral representation for the n-point function which, when applied to the titter-point function, can be interpreted as the Bergman-Weil integral. We use this integral representation to obtain a Bergman-Weillike integral for the four-point function (without local commutativity). This integral relates the value of the four-point function at any point in -~'4 to the boundary value of the function on a six-dimensional subset of the boundary of J(4.
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