Mahesh Krishna, K.M.Johnson, P.S.2026-02-052021Poincare Journal of Analysis and Applications, 2021, 8, 1(II), pp. 15-2423496789https://doi.org/10.33786/pjaa.2021.v08i01(ii).002https://idr.nitk.ac.in/handle/123456789/23400Paley-Wiener theorems 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 result gives Paley-Wiener theorem for frames for Hilbert spaces. © Poincare Publishers.and phrasesCommunicated byFrame, Approximate Schauder Frame, Paley-Wiener theorem, PerturbationLalit KVashisht