ListarUniversidad Torcuato Di Tella por tema "Matemáticas"
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Inverse theorems for discretized sums and Lq norms of convolutions in Rd
(Universidad Torcuato Di Tella, 2023)We prove inverse theorems for the size of sumsets and the L q norms of convolutions in the discretized setting, extending to arbitrary dimension an earlier result of the author in the line. These results have applications ... -
On the Fourier decay of multiplicative convolutions
(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 ... -
On the n−th linear polarization constant of Rn
(Mathematische Nachrichten, 2023)Abstract. We prove that given any set of n unit vectors {vi}n i=1 ⊂ Rn, the inequality sup kxkRn=1 |hx, v1i · · · hx, vni| ≥ n−n/2 holds for n ≤ 14. Moreover, the equality is attained if and only if {vi}n i=1 is an ...