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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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How to analytically evaluate this n-dimensional iterated integral?

I would very much appreciate any suggestions and/or pointers to references relevant for the analytic evaluation of the following n-dimensional iterated integral $$\int_{-\infty}^{+\infty}dx_1\int_{-\i …