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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Growth of Haar series on the dyadic rationals and uniqueness

Author: William R. Wade
Journal: Proc. Amer. Math. Soc. 50 (1975), 198-201
MSC: Primary 42A62
MathSciNet review: 0380254
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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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PII: S 0002-9939(1975)0380254-6
Keywords: Haar functions, Denjoy integrable
Article copyright: © Copyright 1975 American Mathematical Society