What I try to do is calculating the result of this oscillatory integral $\int_{\mathbb{R}^n} e^{-|x|-i x\cdot c}dx$, where $|x|$ is the 2-norm of $x$, $c\in \mathbb{R}^n$ is a constant vector, and $x\cdot c$ is dot product.
Does anyone has any hint for this integral? Thank you so much!
