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math.CA2026
The quantitative Beurling-Helson Theorem
Tom Sanders
We show that for any if is continuous and $\|\exp(-2πi z ϕ)\|_{A(\mathbb{T})} =O_{|z|\rightarrow \infty}(\log^{\frac{1}{8}-\va…
math.CA2010★ 4 cited
Structure in sets with logarithmic doubling
Tom Sanders
Suppose that G is an abelian group, A is a finite subset of G with |A+A|< K|A| and eta in (0,1] is a parameter. Our main result is that there is a set L such that |A cap Span(L)| >…