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math.FA2024
Boundedness of metaplectic operators within spaces, applications to pseudodifferential calculus, and time-frequency representations
Gianluca Giacchi
Housdorff-Young's inequality establishes the boundedness of the Fourier transform from to spaces for and , where denotes the Lebesgue-conjugat…
math.FA2022★ 6 cited
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,…