23 citations · 96 across the 23 of their papers we have counts for
6 papers · 1 filter
Wigner Representation of Schrödinger Propagators
Elena Cordero, Gianluca Giacchi, Luigi Rodino
We perform a Wigner analysis of Fourier integral operators (FIOs), whose main examples are Schrödinger propagators arising from quadratic Hamiltonians with bounded perturbations. T…
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…
Metaplectic Gabor frames of Wigner-Decomposable Distributions
Elena Cordero, Gianluca Giacchi
Metaplectic Wigner distributions generalize the most popular time-frequency representations, such as the short-time Fourier transform (STFT) and -Wigner distributions, using met…
Metaplectic Gabor Frames and Symplectic Analysis of Time-Frequency Spaces
Elena Cordero, Gianluca Giacchi
We introduce new frames, called \textit{metaplectic Gabor frames}, as natural generalizations of Gabor frames in the framework of metaplectic Wigner distributions. Namely, we devel…
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…
On the determination of Lagrange Multipliers for a weighted LASSO problem using geometric and convex analysis techniques
Gianluca Giacchi, Bastien Milani, Benedetta Franchieschiello
Compressed Sensing (CS) encompasses a broad array of theoretical and applied techniques for recovering signals, given partial knowledge of their coefficients. Its applications span…