14 citations · 37 across the 15 of their papers we have counts for
5 papers · 1 filter
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…
Fourier analytic techniques for lattice point discrepancy
Luca Brandolini, Giancarlo Travaglini
Counting integer points in large convex bodies with smooth boundaries containing isolated flat points is oftentimes an intermediate case between balls (or convex bodies with smooth…
Discrepancy for convex bodies with isolated flat points
Luca Brandolini, Leonardo Colzani, Bianca Gariboldi +2
We consider the discrepancy of the integer lattice with respect to the collection of all translated copies of a dilated convex body having a finite number of flat, possibly non-smo…
On Koksma-Hlawka inequality
L. Brandolini, L. Colzani, G. Gigante +1
The classical Koksma Hlawka inequality does not apply to functions with simple discontinuities. Here we state a Koksma Hlawka type inequality which applies to piecewise smooth func…
Convolution operators defined by singular measures on the motion group
Luca Brandolini, Giacomo Gigante, Sundaram Thangavelu +1
This paper contains an improving result for convolution operators defined by singular measures associated to hypersurfaces on the motion group. This needs only mild geometr…