  Paley-Wiener theorem for frames for Hilbert spaces, Banach frames, Schauder
frames and atomic decompositions for Banach spaces are known. In this paper, we
derive Paley-Wiener theorem for p-approximate Schauder frames for separable
Banach spaces. We show that our results give Paley-Wiener theorem for frames
for Hilbert spaces.

Functional Analysis