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We study the action of A on f ∈ L 2 (R) and on its wavelet coefficients, where A = (a lmjk) lmjk is a double infinite matrix. We find the frame condition for A-transform of f ∈ L 2 (R) whose wavelet series expansion is known. 1. Introduction. The notation of frame goes back to Duffin and Schaeffer  in the early 1950s to deal with the problems in… (More)