On the functional equation $\alpha \mathbf{u}+\mathcal{C}\star (\chi \mathbf{u})=\mathbf{f}$

Philippe Ryckelynck, Laurent Smoch

We study in this paper the functional equation $\alpha \mathbf{u}(t)+\mathcal{C}\star (\chi \mathbf{u})(t)=\mathbf{f}(t)$ where $\alpha \in {\mathbb{C}}^{d\times d}$, $\mathbf{u},\mathbf…