Abstract
The question, whether the union of two Helson sets is a Helson set, resisted answering for some time. S. W. Drury and N. Th. Varopoulos solved the problem in 1970, and we now know that if H = H1 ∪ H2 where H1 and H2 are Helson subsets of G, then
One may still hope for simpler proofs and better inequalities.
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© 1979 Springer-Verlag New York Inc.
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Graham, C.C., McGehee, O.C. (1979). A Proof That the Union of Two Helson Sets Is a Helson Set. In: Essays in Commutative Harmonic Analysis. Grundlehren der mathematischen Wissenschaften, vol 238. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9976-9_2
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DOI: https://doi.org/10.1007/978-1-4612-9976-9_2
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