2 citations · 9 across the 46 of their papers we have counts for
15 papers · 1 filter
A note on the Stein restriction conjecture and the restriction problem on the torus
Duván Cardona
In this note we discuss the Stein restriction problem on arbitrary -torus, . In contrast with the usual cases of the sphere, the parabola and the cone, we provide neces…
The index of Toeplitz operators on compact Lie groups and simply connected closed 3-manifolds
Duván Cardona
In this paper we use the notion of operator-valued symbol in order to compute the index of Toeplitz operators on compact Lie groups. Our approach combines the Connes index theorem…
Hörmander condition for pseudo-multipliers associated to the harmonic oscillator
Duván Cardona, Michael Ruzhansky
In this paper we prove Hörmander-Mihlin multiplier theorems for pseudo-multipliers associated to the harmonic oscillator (also called the Hermite operator). Our approach can be ext…
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…
Nuclearity for Fourier integral operators in -spaces
Duván Cardona
In this note we study sharp sufficient conditions for the nuclearity of Fourier integral operators on -spaces, . Our conditions and those presented in Cardona [2]…
-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…