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math.CA2026
Space curve Fourier restriction for orthonormal functions
Jean-Claude Cuenin, Jacob Denson, Jonathan Hickman
We prove a variant of the Fourier restriction inequality for non-degenerate curves in the setting of orthonormal systems. To achieve this, we develop a Hilbert space approach…
math.CA2026
The Maximum Codimension of a Salem Submanifold
Jacob Denson
We determine a geometric condition necessary and sufficient for an -dimensional manifold in Euclidean space to support a probability measure satisfying the Fourier decay bou…