Growth of Haar series on the dyadic rationals and uniqueness

Wade, William R.

doi:10.1090/S0002-9939-1975-0380254-6

Growth of Haar series on the dyadic rationals and uniqueness
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Proc. Amer. Math. Soc. 50 (1975), 198-201 Request permission

Abstract:

We show that uniqueness holds for Haar series which satisfy a certain pointwise growth condition on a certain countable set. It was previously held that this growth condition had to hold at every point in the interval $[0,1]$.

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