Almost-Orthogonality of Restricted Haar-Functions
Abstract
We consider the Haar functions hI on dyadic intervals. We show that if p>23 and E⊂[0,1] then the set of all functions \|hI1E\|2-1hI1E with |I E|≥ p|I| is a Riesz sequence. For p≤23 we provide a counterexample.
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