23 citations · 96 across the 23 of their papers we have counts for
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A Schrödinger characterization of the oscillator semigroup
Gianluca Giacchi
The oscillator (or metaplectic) semigroup is classically defined as the two-fold cover of the semigroup of positive complex symplectic matrices. Although geometrically precise, thi…
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…
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…
Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators
Elena Cordero, Gianluca Giacchi
We generalize the results for Banach algebras of pseudodifferential operators obtained by Gröchenig and Rzeszotnik in [24] to quasi-algebras of Fourier integral operators. Namely,…