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Caltech/UCLA Joint Analysis Seminar

Friday, December 6, 2019
4:30pm to 5:20pm
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Linde Hall 310
On maximal and variational Fourier restriction
Vjekoslav Kovac, Department of Mathematics, University of Zagreb/Georgia Tech,

The problem of restricting the Fourier transform of a non-integrable function to a hypersurface gained attention in the 1970s and is an active research field today. On the other hand, maximal Fourier restriction estimates were inaugurated recently by Müller, Ricci, and Wright in order to give a pointwise meaning to the restriction of the Fourier transform of a function. We will discuss variational Fourier restriction estimates, which quantify the pointwise convergence in question. Moreover, we will sketch a simple abstract argument that deduces certain maximal and variational Fourier restriction estimates from ordinary a priori estimates.

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