Browsing Universidad Torcuato Di Tella by Author "Orponen, Tuomas"
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On the Fourier decay of multiplicative convolutions
Shmerkin, Pablo; Orponen, Tuomas; De Saxcé, Nicolás (Universidad Torcuato Di Tella, 2023)We prove the following. Let $\mu_{1},\ldots,\mu_{n}$ be Borel probability measures on $[-1,1]$ such that $\mu_{j}$ has finite $s_j$-energy for certain indices $s_{j} \in (0,1]$ with $s_{1} + \ldots + s_{n}>1$. Then, the ...