Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- 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
Acknowledgments
Published online by Cambridge University Press: 12 December 2019
- Frontmatter
- Contents
- Preface
- Acknowledgments
- 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
Summary
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- Fourier Restriction, Decoupling, and Applications , pp. xiii - xivPublisher: Cambridge University PressPrint publication year: 2020