88 citations
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Showing 2023 · math.APShow all
3 papers · 2 filters
math.AP2023★ 20 cited
Metaplectic Gabor frames of Wigner-Decomposable Distributions
Elena Cordero, Gianluca Giacchi
Metaplectic Wigner distributions generalize the most popular time-frequency representations, such as the short-time Fourier transform (STFT) and -Wigner distributions, using met…
math.AP2023★ 20 cited
Metaplectic Gabor Frames and Symplectic Analysis of Time-Frequency Spaces
Elena Cordero, Gianluca Giacchi
We introduce new frames, called \textit{metaplectic Gabor frames}, as natural generalizations of Gabor frames in the framework of metaplectic Wigner distributions. Namely, we devel…
math.AP2023★ 23 cited
Symplectic Analysis of Time-Frequency Spaces
Elena Cordero, Gianluca Giacchi
We present a different symplectic point of view in the definition of weighted modulation spaces and weighted Wiener amalgam spaces $W(\mathcal{F} L^p_{m_1…