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math.AP2022
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…
math.AP2020
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…