31 citations · 113 across the 20 of their papers we have counts for
5 papers · 1 filter
Irregularities of distribution on two point homogeneous spaces
Luca Brandolini, Bianca Gariboldi, Giacomo Gigante
We study the irregularities of distribution on two-point homogeneous spaces. Our main result is the following: let be the real dimension of a two point homogeneous space $\math…
Almost positive kernels on compact Riemannian manifolds
Bianca Gariboldi, Giacomo Gigante
We show how to build a kernel \[ K_X(x,y)=\sum_{m=0}^Xh(λ_m/{λ_X})φ_m(x)\overline{φ_m(y)} \] on a compact Riemannian manifold , which is positive up to a negligible error and su…
On a sharp lemma of Cassels and Montgomery on manifolds
Luca Brandolini, Bianca Gariboldi, Giacomo Gigante
Let be a -dimensional compact connected Riemannian manifold and let be a complete sequence of orthonormal…
Optimal asymptotic bounds for designs on manifolds
Bianca Gariboldi, Giacomo Gigante
We extend to the case of a -dimensional compact connected oriented Riemannian manifold the theorem of A. Bondarenko, D. Radchenko and M. Viazovska on the existence…
Discrepancy and numerical integration on metric measure spaces
Luca Brandolini, William W. L. Chen, Leonardo Colzani +2
We study here the error of numerical integration on metric measure spaces adapted to a decomposition of the space into disjoint subsets. We consider both the error for a single giv…