59 citations · 419 across the 51 of their papers we have counts for
24 papers · 1 filter
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…
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…
Wigner analysis of operators. Part I: pseudodifferential operators and wave fronts
Elena Cordero, Luigi Rodino
We perform Wigner analysis of linear operators. Namely, the standard time-frequency representation \emph{Short-time Fourier Transform} (STFT) is replaced by the -\emph…
On the local well-posedness of the nonlinear heat equation associated to the fractional Hermite operator in modulation spaces
Elena Cordero
In this note we consider the nonlinear heat equation associated to the fractional Hermite operator , . We show the local solvability of the related Cau…
Strichartz Estimates for the Schrödinger Equation
Elena Cordero, Davide Zucco
The objective of this paper is to report on recent progress on Strichartz estimates for the Schrödinger equation and to present the state-of-the-art. These estimates have been obta…