6 papers
Composition operators on Gelfand-Shilov classes
Héctor Ariza, Carmen Fernández, Antonio Galbis
We study composition operators on global classes of ultradifferentiable functions of Beurling type invariant under Fourier transform. In particular, for the classical Gelfand-Shilo…
Wigner transform and quasicrystals
Paolo Boggiatto, Carmen Fernández, Antonio Galbis +1
Quasicrystals are tempered distributions which satisfy symmetric conditions on and . This suggests that techniques from time-frequency analysis could possibly b…
Spectrum of composition operators on with polynomial symbols
Carmen Fernández, Antonio Galbis, Enrique Jordá
We study the spectrum of operators in the Schwartz space of rapidly decreasing functions which associate each function with its composition with a polynomial. In the case where thi…
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…
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…