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On weak non-equivalence of wavelet–like systems in L1



We show that in the Haar wavelet basis is not equivalent to any permutation with any signs of the Strω wavelet basis. We also construct a Haar-type system in L1[0,1] which is not equivalent to any subsequence with signs of the classical Haar basis.



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On weak non-equivalence of wavelet–like systems in L1



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