Littlewood–Paley theorems for sum and difference sets
Published online by Cambridge University Press: 24 October 2008
Summary
Let α be a positive integer, and El, …, Eα Hadamard sets of positive integers. It is shown that E = E1 + … + Eα determines a Littlewood–Paley decomposition of Z.
Suppose that is a Hadamard set of positive integers such that nj+1/nj ≥ 2 for all j. Let α be a positive integer, and
We show that F(α) also determines a Littlewood-Paley decomposition of Z.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 83 , Issue 1 , January 1978 , pp. 65 - 71
- Copyright
- Copyright © Cambridge Philosophical Society 1978
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