Recovering functions from the modulation spaces $\mathcal{F}W$

Jeff Ledford

In this short note we show that functions in the modulation space $\mathcal{F}W=\{f:{\sum }_{j\in {\mathbb{Z}}^n}\Vert \hat{f}(\cdot +2\pi j){\Vert }_{L_{\infty }([-\pi ,\pi {]}^n)}<\infty \}$ enjoy similar r…