2 papers
math.NT2021
A multi-linear geometric estimate
Charlotte Aten, Alex Iosevich
We give a generalization of the geometric estimate used by Hart and the second author in their 2008 work on sums and products in finite fields. Their result concerned level sets of…
math.CA2003
Sharp rate of average decay of the Fourier transform of a bounded set
L. Brandolini, S. Hofmann, A. Iosevich
We prove that the spherical mean of the Fourier transform of the characteristic function of a bounded convex set (without any additional assumptions) or a bounded set with a C^{3/2…