4 papers
Compactness of Fourier Integral Operators on weighted modulation spaces
Carmen Fernández, Antonio Galbis, Eva Primo
Using the matrix representation of Fourier integral operators with respect to a Gabor frame, we study their compactness on weighted modulation spaces. As a consequence, we recover…
Dynamics and spectra of composition operators on the Schwartz space
Carmen Fernández, Antonio Galbis, Enrique Jordá
In this paper we study the dynamics of the composition operators defined in the Schwartz space of rapidly decreasing functions. We prove that such an oper…
The Bargmann transform and powers of harmonic oscillator on Gelfand-Shilov subspaces
Carmen Fernandez, Antonio Galbis, Joachim Toft
We consider the counter images $\maclJ (\rr d)$ and $\maclJ _0(\rr d)$ of entire functions with exponential and almost exponential bounds, respectively, under the Bargmann transfor…
Shrinking and boundedly complete atomic decompositions in Fréchet spaces
José Bonet, Carmen Fernández, Antonio Galbis +1
We study atomic decompositions in Fréchet spaces and their duals, as well as perturbation results. We define shrinking and boundedly complete atomic decompositions on a locally con…