82 citations · 229 across the 29 of their papers we have counts for
5 papers · 1 filter
A note on the local Weyl formula on compact Lie groups
Duván Cardona, Julio Delgado, Michael Ruzhansky
In this note we reformulate the spectral side of the Weyl law in the language of the matrix-valued quantisation on compact Lie groups.
Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups
Duván Cardona, Julio Delgado, Michael Ruzhansky
We extend the estimates proved by Donnelly and Fefferman and by Lebeau and Robbiano for sums of eigenfunctions of the Laplacian (on a compact manifold) to estimates for sums of eig…
A Poincaré determinant on the torus
Julio Delgado
In this work we introduce a Poincaré determinant type for operators on the torus $\To^n$. As an application we establish the existence of nontrivial solutions for elliptic equation…
Drift diffusion equations with fractional diffusion on compact Lie groups
Duván Cardona, Julio Delgado, Michael Ruzhansky
In this work we investigate the well-posedness for difussion equations associated to subelliptic pseudo-differential operators on compact Lie groups. The diffusion by strongly elli…
Fundamental solution of the Vladimirov-Taibleson operator on noncommutative Vilenkin groups
Julio delgado, Juan Pablo Velasquez-Rodriguez
The fundamental solution and the heat semigroup of the Vladimirov-Taibleson operator on constant-order noncommutative Vilenkin groups are obtained, together with some estimates on…