Abstract
Abstract We develop two-channel sampling theory in the wavelet subspace V 1 from the multi resolution analysis {Vj } j ∈𝕫. Extending earlier results by G. G. Walter [11], W. Chen and S. Itoh [2] and Y. M. Hong et al [5] on the sampling theory in the wavelet or shift invariant spaces, we find a necessary and sufficient condition for two-channel sampling expansion formula to hold in V 1.
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