Tomographic Fourier Extension Identities for Submanifolds of Rn

Jonathan Bennett; Shohei Nakamura; Shobu Shiraki

doi:10.48550/arXiv.2212.12348

Tomographic Fourier Extension Identities for Submanifolds of Rⁿ

Jonathan Bennett, Shohei Nakamura, Shobu Shiraki

Mathematics

Research output: Working paper/Preprint › Preprint

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Abstract

We establish identities for the composition T_k,n(|gdσˆ|²), where g↦gdσˆ is the Fourier extension operator associated with a general smooth k-dimensional submanifold of Rⁿ, and T_k,n is the k-plane transform. Several connections to problems in Fourier restriction theory are presented.

Original language	English
Publisher	arXiv
Pages	1-9
Number of pages	9
DOIs	https://doi.org/10.48550/arXiv.2212.12348
Publication status	Published - 23 Dec 2022

Bibliographical note

9 pages

Keywords

math.CA
42B10, 44A12

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Cite this

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