23 citations · 96 across the 23 of their papers we have counts for
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Wigner analysis of operators. Part III: Controlling ghost frequencies
Elena Cordero, Gianluca Giacchi, Luigi Rodino
The integration of operator kernels with the Wigner distribution, first conceptualized by E. Wigner in 1932 and later extended by L. Cohen and others, has opened new avenues in tim…
Hardy's Uncertainty principle for Schrödinger equations with quadratic Hamiltonians
Elena Cordero, Gianluca Giacchi, Eugenia Malinnikova
Hardy's uncertainty principle is a classical result in harmonic analysis, stating that a function in and its Fourier transform cannot both decay arbitrarily fas…
Understanding of linear operators through Wigner analysis
Elena Cordero, Gianluca Giacchi, Edoardo Pucci
In this work, we extend Wigner's original framework to analyze linear operators by examining the relationship between their Wigner and Schwartz kernels. Our approach includes the i…
Wigner kernel and Gabor matrix of operators
Elena Cordero, Gianluca Giacchi, Luigi Rodino
We exhibit the connection between the Wigner kernel and the Gabor matrix of a linear bounded operator T : . The smoothing…
Wigner Analysis of Fourier Integral Operators with symbols in the Shubin classes
Elena Cordero, Gianluca Giacchi, Luigi Rodino +1
We study the decay properties of Wigner kernels for Fourier integral operators of types I and II. The symbol spaces that allow a nice decay of these kernels are the Shubin classes…
A Unified Approach to Time-Frequency Representations and Generalized Spectrogram
Elena Cordero, Gianluca Giacchi, Luigi Rodino
To overcome the impossibility of representing the energy of a signal simultaneously in time and frequency, many time-frequency representations have been introduced in the literatur…