How to create this arrow with letters above and below?

The mathtools package offers a wide variety of arrows, which can have content above and below.
\documentclass{standalone}
\usepackage{mathtools}
\begin{document}
$\xleftrightarrow[\mathcal{F}^{-1}]{\mathcal{F}}$
\end{document}
You can try:
\documentclass{report}
\usepackage{mathtools}
\begin{document}
\[
\xleftrightarrow[F^{-1}]{F}
\]
\end{document}
See http://en.wikibooks.org/wiki/LaTeX/Advanced_Mathematics#Above_and_below or mathtools-documentation for more variants.
\[ … \]preferable to$$?. – Henri Menke Apr 28 '14 at 10:07