Fourier Restriction, Decoupling, and Applications

Fourier Restriction, Decoupling, and Applications

Demeter, Ciprian

Cambridge University Press

01/2020

345

Dura

Inglês

9781108499705

15 a 20 dias

600

Descrição não disponível.
Background and notation; 1. Linear restriction theory; 2. Wave packets; 3. Bilinear restriction theory; 4. Parabolic rescaling and a bilinear-to-linear reduction; 5. Kakeya and square function estimates; 6. Multilinear Kakeya and restriction inequalities; 7. The Bourgain-Guth method; 8. The polynomial method; 9. An introduction to decoupling; 10. Decoupling for the elliptic paraboloid; 11. Decoupling for the moment curve; 12. Decouplings for other manifolds; 13. Applications of decoupling; References; Index.
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