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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.AP2026
The metaplectic semigroup and its applications to time-frequency analysis and evolution operators
Gianluca Giacchi, Luigi Rodino, Davide Tramontana
We develop a systematic analysis of the metaplectic semigroup associated with positive complex symplectic matrices, a notion introduced almost simulta…