TY - JOUR
T1 - Tomographic Fourier extension identities for submanifolds of R n
AU - Bennett, Jonathan
AU - Nakamura, Shohei
AU - Shiraki, Shobu
PY - 2024/9/11
Y1 - 2024/9/11
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.
UR - http://link.springer.com/journal/29
UR - https://arxiv.org/abs/2212.12348
U2 - 10.1007/s00029-024-00970-2
DO - 10.1007/s00029-024-00970-2
M3 - Article
SN - 1022-1824
VL - 30
JO - Selecta Mathematica, New Series
JF - Selecta Mathematica, New Series
M1 - 80
ER -