Radial Fourier multipliers and the wave equation

Abstract: General Fourier multipliers of L^p spaces can be characterized in two simple cases, p=1 and p=2. We discuss some difficulties that arise for other cases and report on recent and perhaps surprising results with Gustavo Garrigos and with Fedor Nazarov on radial Fourier multipliers.

There are close connections to and implications for the so called local smoothing conjecture for the wave equation, formulated by Sogge in the early nineties.

Refreshments will be served at 2:45 p.m. (Math Lounge, MATX 1115).