Mathematics - Florida State University
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Jong-Guk Bak



Speaker: Jong-Guk Bak
Title: Restriction of the Fourier Transform to Curves
Affiliation: Postech, Korea
Date: Friday, January 16, 2009
Place and Time: Room 101, Love Building, 3:35-4:30 pm
Refreshments: Room 204, Love Building, 3:00 pm

Abstract. The Fourier restriction problem is about determining all possible (L^p, L^q) estimates for the restriction of the Fourier transform to a sphere in Euclidean space R^n. This problem is closely related with many other areas such as PDE and geometric measure theory. A natural question may be to consider the corresponding problem for other submanifolds in R^n. The problem we want to discuss today is the case of curves in R^n for dimension 3 or higher. We will review some well-known results and discuss a few recent results.


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Last modified: Tuesday January 13th, 2009