What's the Fourier transform of these functions?

Question

1. The Fourier transform of $|x|^{\alpha}$.

   This is the Fourier transform of a homogeneous function, and there are several cases of various $\alpha$: when $a\leq -n$, it's not a temperate distribution; when $-n<\alpha<0$,then the Fourier transform is $c_{n}|\xi|^{-n+\alpha}$, where $c_{n}$ is some constant; when $\alpha=2k$,a positive even number, then it's Fourier transformation is $(-\Delta)^{k}\delta_{0}$.

   My question is when $\alpha$ is any positive number (not the even case), then what's the Fourier transform of it ?

2. The Fourier transform of $e^{it|x|}$ ?

   (the Fourier transforms I have mentioned here are in the sense of temperate distributions)