47 citations · 47 across the 2 of their papers we have counts for
4 papers
Estimates for strongly singular operators along curves
Magali Folch-Gabayet, Ricardo A. Sáenz
For a proper function on the plane, we study the operator \[ Tf(x,y) = \lim_{\varepsilon\to 0} \int_\varepsilon^1 f(x-t,y-t^k) \frac{e^{2πi γ(t)}}{ψ(t)} dt, \] where an…
Lower and upper bounds for configurations of points on a sphere
Paolo Amore, Ricardo A. Sáenz
We present a new proof (based on spectral decomposition) of a bound originally proved by Sidelnikov~\, for the frame potentials $\sum_{ij} \left( {\bf P}_i \cdot {\bf P}_j \right)^…
Restrictions of harmonic functions and Dirichlet eigenfunctions of the Hata set to the interval
Baltazar Espinoza, Ricardo A. Sáenz
In this paper we study the harmonic functions and the Dirichlet eigenfunctions of the Hata set, and their restrictions to the interval , its main edge. We prove that these r…
Collocation method for fractional quantum mechanics
Paolo Amore, Francisco M. Fernández, Christoph P. Hofmann +1
We show that it is possible to obtain numerical solutions to quantum mechanical problems involving a fractional Laplacian, using a collocation approach based on Little Sinc Functio…