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Modulation spaces: from Feichtinger's original definition to modern Gabor and symplectic characterizations
Antonio Caputo, Elena Cordero, Gianluca Giachi +1
We present an expository excursus on modulation spaces, from Feichtinger's original construction on locally compact abelian groups to recent symplectic formulations. We trace the s…
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…