2 papers
math.CA2022
Euler-MacLaurin summation formula on polytopes and expansions in multivariate Bernoulli polynomials
Luca Brandolini, Leonardo Colzani, Bianca Gariboldi +2
We provide a multidimensional weighted Euler--MacLaurin summation formula on polytopes and a multidimensional generalization of a result due to L. J. Mordell on the series expansio…
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…