82 citations · 229 across the 29 of their papers we have counts for
37 papers
Kernel estimates for the Weyl-Hörmander calculus, Weak (1,1) boundedness and other regularity properties
Duván Cardona, Julio Delgado, Manuel Martínez-Flores
We provide kernel estimates for pseudo-differential operators in the Weyl-Hörmander calculus classes. These new results lead to boundedness theorems like the weak (1,1) ty…
Sharp Time-Decay Estimates for Fractional Heat Semigroups Associated with Polynomial Anharmonic Oscillators
Julio Delgado, Vishvesh Kumar, Shyam Swarup Mondal
We investigate fractional heat semigroups generated by a class of anharmonic oscillators on of the form where and…
On the Fast Fourier Transform on SU(2)
Julio Delgado, Alejandro Umaña
The special unitary group SU(2) plays a fundamental role in the description of symmetries in quantum mechanics, theoretical physics, and spherical signal processing. In this paper,…
On the differentiability of the Sobolev norm of on compact Riemannian manifolds
Duvan Cardona, Julio Delgado, Andres Felipe Muñoz-Tello
In this work we study the differentiability for the Sobolev norm of in the sense of Gâteaux , where is an arbitrary closed Riemannian manifold.
Schatten-von Neumann classes of tensors of invariant operators
Julio Delgado, Liliana Posada, Michael Ruzhansky
In this work we study Schatten-von Neumann classes of tensor products of invariant operators on Hilbert spaces. In the first part we first deduce some spectral properties for tenso…
Nuclearity, Schatten-von Neumann classes, distribution of eigenvalues and --boundedness of Fourier integral operators on compact manifolds
Duván Cardona, Julio Delgado, Michael Ruzhansky
We link Sogge's type -estimates for eigenfunctions of the Laplacian on compact manifolds with the problem of providing criteria for the -nuclearity of Fourier integral oper…