14 citations · 18 across the 10 of their papers we have counts for
4 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…