Table of Contents

The $L^1$ Fourier transform The Schwartz space Fourier inversion and the Plancherel theorem Some specifics, and $L^p$ for $p<2$ The uncertainty principle The stationary phase method The restriction problem Hausdorff measures Sets with maximal Fourier dimension and distance sets The Kakeya problem Recent work connected with the Kakeya problem Bibliography for Chapter 11 Historical notes Bibliography.