2 citations · 2 across the 5 of their papers we have counts for
9 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…
Unconditionally convergent multipliers and Bessel sequences
Carmen Fernández, Antonio Galbis, Eva Primo
We prove that every unconditionally summable sequence in a Hilbert space can be factorized as the product of a square summable scalar sequence and a Bessel sequence. Some consequen…
Gabor systems and almost periodic functions
Paolo Boggiatto, Carmen Fernández, Antonio Galbis
We give a construction of Gabor type frames for suitable separable subspaces of the non-separable Hilbert spaces of almost periodic functions of one variable. F…
Frames and representing systems in Fréchet spaces and their duals
José Bonet, Carmen Fernández, Antonio Galbis +1
Frames and Bessel sequences in Fréchet spaces and their duals are defined and studied. Their relation with Schauder frames and representing systems is analyzed. The abstract result…
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…