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 \begin{document}
 \newcommand{\K}{\mathrm{K}}
-\newcommand{\qnorm}[1]{\left|\left|#1\right|\right|^2}
-\newcommand{\norm}[1]{\left|\left|#1\right|\right|}
+\newcommand{\qnorm}[1]{\left\Vert#1\right\Vert^2}
+\newcommand{\norm}[1]{\left\Vert#1\right\Vert}
 \section{Fourier-Entwicklung}
 \begin{definition}[Periodische Funktionen]
     $f: \R \to \K$ heißt $L$-periodisch $(L >0)$ falls $f(x+L) = f(x)$, $\forall x \in \R (\implies f(x+kL) = f(x),\; \forall k\in \Z)$.
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