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On weak non-equivalence of wavelet–like systems in L1†
Published online by Cambridge University Press: 01 March 2008
Abstract
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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 144 , Issue 2 , March 2008 , pp. 499 - 510
- Copyright
- Copyright © Cambridge Philosophical Society 2008
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