On Extremizers for Fourier Restriction onto the Moment Curve

On Extremizers for Fourier Restriction onto the Moment Curve

Explore the existence of functions that saturate the operator norm of the Fourier restriction/extension operator corresponding to the moment curve in Lebesgue spaces in this 30-minute mathematics lecture. Delve into recent research conducted in collaboration with Betsy Stovall, focusing on the moment curve (t, t^2, ..., t^d) and its implications for Fourier analysis. Gain insights into advanced mathematical concepts and their applications in the field of harmonic analysis.