Tomographic Fourier Extension Identities for Submanifolds of ℝn

Jonathan Bennett, Shohei Nakamura, Shobu Shiraki

Research output: Working paper/PreprintPreprint

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Abstract

We establish identities for the composition Tk,n(|gdσˆ|2), where g↦gdσˆ is the Fourier extension operator associated with a general smooth k-dimensional submanifold of ℝn, and Tk,n is the k-plane transform. Several connections to problems in Fourier restriction theory are presented.
Original languageEnglish
PublisherarXiv
Number of pages10
DOIs
Publication statusPublished - 23 Dec 2022

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