14 citations · 37 across the 12 of their papers we have counts for
16 papers
Irregularities of distribution and Fourier transforms of multi-dimensional convex bodies
Luca Brandolini, Leonardo Colzani, Giancarlo Travaglini
W. Schmidt, H. Montgomery, and J. Beck proved a result on irregularities of distribution with respect to -dimensional balls. In this paper, we extend their result to any -dim…
On the speed of convergence in the ergodic theorem for shift operators
Nikolaos Chalmoukis, Leonardo Colzani, Bianca Gariboldi +1
Given a probability space , a square integrable function on such space and a (unilateral or bilateral) shift operator , we prove under suitable assumptions that the e…
Discrepancy and approximation of absolutely continuous measures with atomic measures
Luca Brandolini, Leonardo Colzani, Giancarlo Travaglini
We prove several results concerning the discrepancy, tested on balls in the -dimensional torus , between absolutely continuous measures and finite atomic measure…
Summability and speed of convergence in an ergodic theorem
Leonardo Colzani, Bianca M. Gariboldi, Alessandro Monguzzi
Given an irrational vector in , a continuous function on the torus and suitable weights such that $\sum_{n=-\infty}^{+\infty}Φ(…
Irregularities of distribution for bounded sets and half-spaces
Luca Brandolini, Leonardo Colzani, Giancarlo Travaglini
We prove a general result on irregularities of distribution for Borel sets intersected with bounded measurable sets or affine half-spaces.
An Euler-Maclaurin formula for polygonal sums
Luca Brandolini, Leonardo Colzani, Sinai Robins +1
We prove an Euler-Maclaurin formula for double polygonal sums and, as a corollary, we obtain approximate quadrature formulas for integrals of smooth functions over polygons with in…