On the Structure and Interpolation Properties of Quasi Shift-invariant Spaces

Keaton Hamm, Jeff Ledford

The structure of certain types of quasi shift-invariant spaces, which take the form $V(\psi ,\mathcal{X}):={\overline{\text{span}}}^{L_2}\{\psi (\cdot -x_j):j\in \mathbb{Z}\}$ for a discrete s…