Buscar
Mostrando ítems 1-2 de 2
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 ...