This talk is about woven frames in separable Hilbert spaces. I will start
focusing on the finite-dimensional case. We begin by simplifying the problem to bases, for
which we obtain a unique characterization. We establish a condition that is both nec-
essary and suļ¬cient for vector reconstruction, which is applicable to Fourier matrices.
Furthermore, we show that these characterizations are still valid in the infinite dimen-
sional case, for Riesz bases. Finally, we obtain several results for weaving Riesz bases of
translations.