2 citations · 9 across the 46 of their papers we have counts for
6 papers · 2 filters
Sharp estimates for the Schrödinger equation associated to the twisted Laplacian
Duván Cardona
In this note we obtain some Strichartz estimates for the Schrödinger equation associated to the twisted Laplacian on . The initial data will be…
-estimates for the Schrödinger equation associated to the harmonic oscillator
Duván Cardona
In this paper we obtain some Strichartz estimates for the Schrödinger equation associated to the harmonic oscillator and the Laplacian. Our main tool will be some embeddings betwee…
Besov continuity for global operators on compact Lie groups: the critical case
Duván Cardona Sánchez
In this note, we study the mapping properties of global pseudo-differential operators with symbols in Ruzhansky-Turunen classes on Besov spaces The cons…
-bounds for Fourier integral operators on the torus
Duván Cardona, Rekia Messiouene, Abderrahmane Senoussaoui
In this paper we investigate the mapping properties of periodic Fourier integral operators in -spaces. The operators considered are associated to periodic symbol…
On the nuclear trace of Fourier integral operators in -spaces
Duván Cardona
In this paper we provide characterizations for the nuclearity of Fourier integral operators on on the discrete group arbitrary compact Lie groups an…
Pseudo-differential operators in Hölder spaces revisited. Weyl-Hörmander calculus and Ruzhansky-Turunen classes
Duván Cardona
In this work we obtain continuity results on Hölder spaces for operators belonging to a Weyl-Hörmander calculus for metrics such that the class of the associated operators contains…