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Fourier-Transformation} $\mathcal{F}_N: \mathbb{C} \to \mathbb{C}$ s.d. $\mathcal{F}_N(y) = F_Ny$ +\fancydef{Diskrete Fourier-Transformation} $\mathcal{F}_N: \mathbb{C}^N \to \mathbb{C}^N$ s.d. $\mathcal{F}_N(y) = F_Ny$ \begin{align*} \text{Für } c = \mathcal{F}_N(y) \text{ gilt: }\quad c_k = \sum_{j=0}^{N-1} y_j \omega_N^{kj} \end{align*}