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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
Bourgain's proof of the circular maximal theorem: an exposition
Halit Yigit Gunduz, Jonathan Hickman
We present an exposition of Bourgain's celebrated 1986 proof of the circular maximal theorem.