$L^p$-bounds for Fourier integral operators on the torus

Abderrahmane Senoussaoui; Duv\'an Cardona; Rekia Messiouene

arxiv: 1807.09892 · v3 · pith:UIUQ7U4Hnew · submitted 2018-07-25 · 🧮 math.AP

L^p-bounds for Fourier integral operators on the torus

Duv\'an Cardona , Rekia Messiouene , Abderrahmane Senoussaoui This is my paper

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keywords operatorsfourierintegralperiodicassociatedboundsconsideredinvestigate

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In this paper we investigate the mapping properties of periodic Fourier integral operators in $L^p(\mathbb{T}^n)$-spaces. The operators considered are associated to periodic symbols (with limited regularity) in the sense of Ruzhansky and Turunen.

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L^p-bounds for Fourier integral operators on the torus

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