TY - UNPB
T1 - Tomographic Fourier Extension Identities for Submanifolds of ℝn
AU - Bennett, Jonathan
AU - Nakamura, Shohei
AU - Shiraki, Shobu
PY - 2022/12/23
Y1 - 2022/12/23
N2 - 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.
AB - 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.
U2 - 10.48550/arXiv.2212.12348
DO - 10.48550/arXiv.2212.12348
M3 - Preprint
BT - Tomographic Fourier Extension Identities for Submanifolds of ℝn
PB - arXiv
ER -