Acta Mathematica Vietnamica
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Pseudo Wavelet Frames
T. C. Easwaran Nambudiri
,
K. Parthasarathy
Abstract
We seek to alleviate the unpleasantness of the fact that the class of wavelet frames is not closed under canonical duals by introducing and studying a new class of frames that we call pseudo wavelet frames, which includes all wavelet frames and is ‘self-dual’ in terms of canonical duals. The class also has the ‘extension property’ and is invariant under the Fourier transform.