In the following code lines, the fancy parantheses F{x} do not appear:
\documentclass[11pt, a4paper]{article}
\usepackage{amsmath}
\usepackage{amsfonts}
\begin{document}
\begin{align}\label{Hilbert}
\operatorname{F}{\hat{x}(t)} = \hat{X}(j\omega) &= \operatorname{Im}\left\{X(j\omega)\right\} \operatorname{sgn(\omega)} -j\operatorname{Re}\left\{X(j\omega)\right\} \operatorname{sgn(\omega)}\\
\end{align}
\end{document}
I assume it is because I am using the align-environment. But I need it.

\operatorname{F}\{\hat{x}(t)\}. – Bernard Mar 09 '17 at 10:07align. The braces are not printed for the same reason the braces in\hat{X}are not printed,{..}are tex syntax characters (by default) so do not print as themselves. – David Carlisle Mar 09 '17 at 10:14