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Chapter Three On Oscillatory Integral Operators in Higher Dimensions
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Chapters in this book
- Frontmatter i
- Contents vii
- Preface ix
- Chapter One. Selected Theorems by Eli Stein 1
- Chapter Two. Eli’s Impact: A Case Study 35
- Chapter Three On Oscillatory Integral Operators in Higher Dimensions 47
- Chapter Four. Hölder Regularity for Generalized Master Equations with Rough Kernels 63
- Chapter Five. Extremizers of a Radon Transform Inequality 84
- Chapter Six. Should We Solve Plateau’s Problem Again? 108
- Chapter Seven. Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms 146
- Chapter Eight. Internal DLA for Cylinders 189
- Chapter Nine. The Energy Critical Wave Equation in 3D 215
- Chapter Ten. On the Bounded L2 Curvature Conjecture 224
- Chapter Eleven. On Div-Curl for Higher Order 245
- Chapter Twelve. Square Functions and Maximal Operators Associated with Radial Fourier Multipliers 273
- Chapter Thirteen. Problems of Harmonic Analysis Related to Finite-Type Hypersurfaces in R3, and Newton Polyhedra 303
- Chapter Fourteen. Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length 346
- Chapter Fifteen. Diagonal Estimates for Bergman Kernels in Monomial-Type Domains 402
- Chapter Sixteen. On the Singularities of the Pluricomplex Green’s Function 419
- Chapter Seventeen. Smoothness of Spectral Multipliers and Convolution Kernels in Nilpotent Gelfand Pairs 436
- Chapter Eighteen. On Eigenfunction Restriction Estimates and L4-Bounds for Compact Surfaces with Nonpositive Curvature 447
- List of Contributors 463
- Index 465
Chapters in this book
- Frontmatter i
- Contents vii
- Preface ix
- Chapter One. Selected Theorems by Eli Stein 1
- Chapter Two. Eli’s Impact: A Case Study 35
- Chapter Three On Oscillatory Integral Operators in Higher Dimensions 47
- Chapter Four. Hölder Regularity for Generalized Master Equations with Rough Kernels 63
- Chapter Five. Extremizers of a Radon Transform Inequality 84
- Chapter Six. Should We Solve Plateau’s Problem Again? 108
- Chapter Seven. Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms 146
- Chapter Eight. Internal DLA for Cylinders 189
- Chapter Nine. The Energy Critical Wave Equation in 3D 215
- Chapter Ten. On the Bounded L2 Curvature Conjecture 224
- Chapter Eleven. On Div-Curl for Higher Order 245
- Chapter Twelve. Square Functions and Maximal Operators Associated with Radial Fourier Multipliers 273
- Chapter Thirteen. Problems of Harmonic Analysis Related to Finite-Type Hypersurfaces in R3, and Newton Polyhedra 303
- Chapter Fourteen. Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length 346
- Chapter Fifteen. Diagonal Estimates for Bergman Kernels in Monomial-Type Domains 402
- Chapter Sixteen. On the Singularities of the Pluricomplex Green’s Function 419
- Chapter Seventeen. Smoothness of Spectral Multipliers and Convolution Kernels in Nilpotent Gelfand Pairs 436
- Chapter Eighteen. On Eigenfunction Restriction Estimates and L4-Bounds for Compact Surfaces with Nonpositive Curvature 447
- List of Contributors 463
- Index 465