59 citations · 419 across the 51 of their papers we have counts for
63 papers
Excursus on modulation spaces via metaplectic operators and related time-frequency representations
Elena Cordero, Gianluca Giacchi
Modulation spaces were originally introduced by Feichtinger in 1983. Since the 2000s there have been thousands of contributions using them as correct framework; they range from PDE…
Symplectic Analysis of Time-Frequency Spaces
Elena Cordero, Gianluca Giacchi
We present a different symplectic point of view in the definition of weighted modulation spaces and weighted Wiener amalgam spaces $W(\mathcal{F} L^p_{m_1…
Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators
Elena Cordero, Gianluca Giacchi
We generalize the results for Banach algebras of pseudodifferential operators obtained by Gröchenig and Rzeszotnik in [24] to quasi-algebras of Fourier integral operators. Namely,…
Wigner Analysis of Operators. Part II: Schrödinger equations
Elena Cordero, Gianluca Giacchi, Luigi Rodino
We study the phase-space concentration of the so-called generalized metaplectic operators whose main examples are Schrödinger equations with bounded perturbations. To reach this go…
Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations
Elena Cordero, Luigi Rodino
In the last twenty years modulation spaces, introduced by H. G. Feichtinger in 1983, have been successfully addressed to the study of signal analysis, PDE's, pseudodifferential ope…
Comparisons between Fourier and STFT multipliers: the smoothing effect of the Short-time Fourier Transform
Peter Balazs, Federico Bastianoni, Elena Cordero +2
We study the connection between STFT multipliers having windows , symbols , , and the Fo…