2 papers
math.CA2026
A discussion of two new proofs of Fefferman's Fourier extension theorem in the plane
Eric T. Sawyer
The Fourier extension conjecture of E. Stein was proved in the plane in 1970 by C. Fefferman, see also Zygmund and Carleson and Sjölin, with simplifications given by other authors…
math.CA2026
A probabilistic analogue of the Fourier extension conjecture
Eric T. Sawyer
We prove a probabilistic Fourier extension theorem that says Fourier extension holds when averaged over certain smooth Alpert multipliers. The proofs use smooth Alpert wavelets wit…