Contents

Kapitel in diesem Buch

1. Frontmatter I
2. Contents V
3. Algebraically integrable bodies and related properties of the Radon transform 1
4. The covariogram problem 37
5. The logarithmic Minkowski conjecture and the L_p-Minkowski problem 83
6. Bellman functions and continuous time 119
7. Volume product 163
8. Inequalities for sections and projections of convex bodies 223
9. Borderline estimates for weighted singular operators and concavity 257
10. Extremal sections and projections of certain convex bodies: a survey 343
11. When does e^−/τ/ maximize Fourier extension for a conic section? 391
12. Affine surface area 427
13. Analysis and geometry near the unit ball: proofs, counterexamples, and open questions 445
14. Index 469