Introduces twisted dyadic Haar bases forming complete orthonormal systems in L2 with frame bound 3 and L^p square function equivalences, then builds adapted Haar frames on step-two nilpotent groups using rectifiable analytic shards.
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Haar bases for multi-parameter twisted structures
Introduces twisted dyadic Haar bases forming complete orthonormal systems in L2 with frame bound 3 and L^p square function equivalences, then builds adapted Haar frames on step-two nilpotent groups using rectifiable analytic shards.