Preface . . ix
Chapter 1. Hyperplane sections of lp-balls . . 1
Chapter 2. Volume and the Fourier transform . . 9
Chapter 3. Intersection bodies . . 21
Chapter 4. The Busemann-Petty problem . . 39
Chapter 5. Projections and the Fourier transform . . 59
Chapter 6. Intersection bodies and Lp-spaces . . 67
Chapter 7. On the road between polar projection bodies and intersection bodies . . 75
Chapter 8. Open problems . . 87
Bibliography . . 101
Index . . 107