Tomographic Fourier extension identities for submanifolds of R n

Jonathan Bennett*, Shohei Nakamura, Shobu Shiraki

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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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
Article number80
Number of pages14
JournalSelecta Mathematica, New Series
Volume30
DOIs
Publication statusPublished - 11 Sept 2024

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