Tomographic Fourier extension identities for submanifolds of Rn

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

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Veröffentlicht in:	Selecta mathematica (Basel, Switzerland) Switzerland), 2024, Vol.30 (4)
Hauptverfasser:	Bennett, Jonathan, Nakamura, Shohei, Shiraki, Shobu
Format:	Artikel
Sprache:	eng
Schlagworte:	Manifolds (mathematics) Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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