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Shift-invariant subspaces and wavelets on local fields
Authors:B. Behera
Affiliation:1. Statistics and Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata, 700108, India
Abstract:We show that every closed shift-invariant subspace of L 2(K) is generated by the Λ-translates of a countable number of functions, where K is a local field of positive characteristic and Λ is an appropriate translation set. We use this result to provide a characterization of wavelets on such a field.
Keywords:
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