paper

A smooth Alpert testing characterization of convolution type for the Fourier extension conjecture on paraboloids

arXiv:2512.24990

Abstract

We prove a smooth Alpert testing characterization of convolution type for the Fourier extension conjecture on paraboloids, that further extends the characterizations in arXiv:2506.23376v4.

27 pages. An incorrect claim regarding simpler proofs has been removed due to an error. Main results unchanged

A smooth Alpert testing characterization of convolution type for the Fourier extension conjecture on paraboloids · wovepaper