3 papers
math.AP2024
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…
math.AP2024
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…
math.FA2024
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…