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.
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Behera, B. Shift-invariant subspaces and wavelets on local fields. Acta Math. Hungar. 148, 157–173 (2016). https://doi.org/10.1007/s10474-015-0558-x
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DOI: https://doi.org/10.1007/s10474-015-0558-x