## Spectral calculus and dispersive estimates for wave and Schroedinger equations.

- March 22, 2006
- 11 a.m.
- LeConte 312

## Abstract

The Mihlin-Hormander multiplier problem on L^p spaces has been studied for nearly half a century, which has influenced areas from classical Fourier analysis to modern geometric analysis. In this talk we show there is a deep connection between sharp spectral multiplier theorem, Littlewood-Paley theory and space-time estimates for dispersive equations arising from mathematical physics.