# Integral in d-dimensions

Maybe it is an easy integral but I don't know how to compute it. In fact I think I have to use polar coordinates but I don't know how to do it rigorously : $\int \exp(-\mathrm{i}\mathbf{q}\cdot\mathbf{r})q^{\eta-d}\,\mathrm{d}^dq$, where $\eta$ is a real number, and $d$ an integer of course.

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How do you define $q^{\eta-d}$? – 1015 Feb 28 '13 at 18:15