14 citations · 37 across the 15 of their papers we have counts for
4 papers · 1 filter
Quadrature rules and distribution of points on manifolds
Luca Brandolini, Christine Choirat, Leonardo Colzani +3
We study the error in quadrature rules on a compact manifold. As in the Koksma-Hlawka inequality, we consider a discrepancy of the sampling points and a generalized variation of th…
An L^1 estimate for half-space discrepancy
William W. L. Chen, Giancarlo Travaglini
For every unit vector and every , let % % \begin{displaymath} P_{σ,r}=[-1,1]^d\cap\{t\in\Rr^d:t\cdotσ\le r\} \end{displaymath} % % denote the intersection of t…
Trigonometric approximation and a general form of the Erdős Turán inequality
Leonardo Colzani, Giacomo Gigante, Giancarlo Travaglini
There exists a positive function {on}{, with fast decay at infinity, such that for every measurable set}{in the Euclidean space and}{, there exist entire 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…