Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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Pseudo Wavelet Frames

T. C. Easwaran Nambudiri , K. Parthasarathy

pp. 931-941

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.