Metaplectic Wigner distributions were recently investigated as natural generalizations of the
classical Wigner distribution, and provide a wide class of time-frequency representations …

Metaplectic Wigner distributions are joint time-frequency representations that are
parametrized by a symplectic matrix and generalize the short-time Fourier transform and the …

Hausdorff–Young's inequality establishes the boundedness of the Fourier transform from L p
to L q spaces for 1≤ p≤ 2 and q= p′, where p′ denotes the Lebesgue-conjugate …

We present a different symplectic point of view in the definition of weighted modulation
spaces M mp, q (R d) and weighted Wiener amalgam spaces W (FL m 1 p, L m 2 q)(R d). All …

In the last twenty years modulation spaces, introduced by HG Feichtinger in 1983, have
been successfully addressed to the study of signal analysis, PDE's, pseudodifferential …

We introduce new frames, called metaplectic Gabor frames, as natural generalizations of
Gabor frames in the framework of metaplectic Wigner distributions, cf.[7],[8],[5],[17],[27],[28] …

We provide a comprehensive overview of the theoretical framework surrounding modulation
spaces and their characterizations, particularly focusing on the role of metaplectic operators …

To overcome the impossibility of representing the energy of a signal simultaneously in time
and frequency, many time–frequency representations have been introduced in the literature …

We derive Heisenberg uncertainty principles for pairs of Linear Canonical Transforms of a
given function, by resorting to the fact that these transforms are just metaplectic operators …

We perform Wigner analysis of linear operators. Namely, the standard time-frequency
representation Short-time Fourier Transform (STFT) is replaced by the A-Wigner distribution …