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math.AP2026
Anisotropic uncertainty principles for metaplectic operators
Elena Cordero, Gianluca Giacchi, Edoardo Pucci
We establish anisotropic uncertainty principles (UPs) for general metaplectic operators acting on , including degenerate cases associated with symplectic matrice…
math.AP2025
Sparse Gabor representations of metaplectic operators: controlled exponential decay and Schrödinger confinement
Elena Cordero, Gianluca Giacchi, Edoardo Pucci +1
Motivated by the phase space analysis of Schrödinger evolution operators, in this paper we investigate how metaplectic operators are approximately diagonalized along the correspon…
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…