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Contents

Chapters in this book

  1. Frontmatter i
  2. Contents vii
  3. Preface ix
  4. Chapter One. Selected Theorems by Eli Stein 1
  5. Chapter Two. Eli’s Impact: A Case Study 35
  6. Chapter Three On Oscillatory Integral Operators in Higher Dimensions 47
  7. Chapter Four. Hölder Regularity for Generalized Master Equations with Rough Kernels 63
  8. Chapter Five. Extremizers of a Radon Transform Inequality 84
  9. Chapter Six. Should We Solve Plateau’s Problem Again? 108
  10. Chapter Seven. Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms 146
  11. Chapter Eight. Internal DLA for Cylinders 189
  12. Chapter Nine. The Energy Critical Wave Equation in 3D 215
  13. Chapter Ten. On the Bounded L2 Curvature Conjecture 224
  14. Chapter Eleven. On Div-Curl for Higher Order 245
  15. Chapter Twelve. Square Functions and Maximal Operators Associated with Radial Fourier Multipliers 273
  16. Chapter Thirteen. Problems of Harmonic Analysis Related to Finite-Type Hypersurfaces in R3, and Newton Polyhedra 303
  17. Chapter Fourteen. Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length 346
  18. Chapter Fifteen. Diagonal Estimates for Bergman Kernels in Monomial-Type Domains 402
  19. Chapter Sixteen. On the Singularities of the Pluricomplex Green’s Function 419
  20. Chapter Seventeen. Smoothness of Spectral Multipliers and Convolution Kernels in Nilpotent Gelfand Pairs 436
  21. Chapter Eighteen. On Eigenfunction Restriction Estimates and L4-Bounds for Compact Surfaces with Nonpositive Curvature 447
  22. List of Contributors 463
  23. Index 465
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Advances in Analysis
This chapter is in the book Advances in Analysis
https://doi.org/10.1515/9781400848935-toc

Chapters in this book

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