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Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. His fundamental contributions include the Kunze–Stein phenomenon, the construction of new representations, the Stein interpolation theorem, the idea of a restriction theorem for the Fourier transform, and the theory of Hp Spaces in several variables. Through his great discoveries, through books that have set the highest standard for mathematical exposition, and through his influence on his many collaborat ... More

*Keywords: *
Elias Stein,
mathematician,
Fourier analysis,
representation theory,
Kunze–Stein phenomenon,
Stein interpolation theorem,
Fourier transform,
Hp Spaces,
mathematics

Print publication date: 2014 | Print ISBN-13: 9780691159416 |

Published to Princeton Scholarship Online: October 2017 | DOI:10.23943/princeton/9780691159416.001.0001 |

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## Front Matter

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Chapter One Selected Theorems by Eli Stein

### Charles Fefferman

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Chapter Two Eli’s Impact: A Case Study

### Charles Fefferman

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Chapter Four Hölder Regularity for Generalized Master Equations with Rough Kernels

### Luis Caffarelli and Luis Silvestre

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Chapter Five Extremizers of a Radon Transform Inequality

### Michael Christ

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Chapter Seven Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms

### Alexandru D. Ionescu, Akos Magyar, and Stephen Wainger

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Chapter Eight Internal DLA for Cylinders

### David Jerison, Lionel Levine, and Scott Sheffield

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Chapter Nine The Energy Critical Wave Equation in 3D

### Carlos Kenig

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Chapter Ten On the Bounded L2 Curvature Conjecture

### Sergiu Klainerman

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Chapter Eleven On Div-Curl for Higher Order

### Loredana Lanzani and Andrew S. Raich

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Chapter Twelve Square Functions and Maximal Operators Associated with Radial Fourier Multipliers

### Sanghyuk Lee, Keith M. Rogers, and Andreas Seeger

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Chapter Fourteen Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length

### Camil Muscalu, Terence Tao, and Christoph Thiele

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Chapter Fifteen Diagonal Estimates for Bergman Kernels in Monomial-Type Domains

### Alexander Nagel and Malabika Pramanik

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Chapter Sixteen On the Singularities of the Pluricomplex Green’s Function

### D. H. Phong and Jacob Sturm

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Chapter Seventeen Smoothness of Spectral Multipliers and Convolution Kernels in Nilpotent Gelfand Pairs

### Fulvio Ricci

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Chapter Eighteen On Eigenfunction Restriction Estimates and L4-Bounds for Compact Surfaces with Nonpositive Curvature

### Christopher D. Sogge and Steve Zelditch

## End Matter

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