Harmonic Analysis and Partial Differential Equations
Essays in Honor of Alberto P. Calderon
360 pages

12 line drawings

6 x 9

© 1999
 Contents
Table of Contents
Contents
Preface
Introduction
Michael Christ, Carlos E. Kenig, and Cora Sadosky
1. Calderón and Zygmund's Theory of Singular Integrals
Elias M. Stein
2. Transference Principles in Ergodic Theory
Alexandra Bellow
3. A WeakType Inequality for Convolution Products
Alexandra Bellow and Alberto P. Calderón
4. Transference Couples and Weighted Maximal Estimates
Earl Berkson, Maciej Paluszynski, and Guido Weiss
5. Periodic Solutions and Nonlinear Wave Equations
Jean Bourgain
6. Some Extremal Problems in Martingale Theory and Ilarmonic Analysis
Donald L. Burkholder
7. The Monge Ampere Equation, Allocation Problems, and Elliptic Systems with Affine Invariance
Luis A. Caffarelli
8. On a FourthOrder Partial Differential Equation in Conformal Geometry
SunYung A. Chang
9. Riesz Transforms, Commutators, and Stochastic Integrals
A. B. Cruzeiro and P. Malliavin
10. An Application of a Formula of Alberto Calderón to Speaker Identification
Ingrid Daubechies and Stéphane Maes
11. Analytic Capacity, Cauchy Kernel, Menger Curvature, and Rectifiability
Guy David
12. Symplectic Subunit Balls and Algebraic Functions
Charles Fefferman
13. Multiparameter CalderónZygmund Theory
Robert A. Fefferman
14. Nodal Sets of Sums of Eigenfunctions
David Jerison and Gilles Lebeau
15. LargeTime Behavior and SelfSimilar Solutions of Some Semilinear Diffusion Equations
Yves Meyer
16. Estimates for Elliptic Equations in Unbounded Domains and Applications to Symmetry and Monotonicity
Louis Nirenberg
17. Asymptotic Expansions for AtiyahPatodiSinger Problems
Robert Seeley
18. Analysis on Metric Spaces
Stephen Semmes
19. Developments in Inverse Problems since Calderón's Foundational Paper
Gunther Uhlmann
Remarks Addressed to the Conference
Alberto P. Calderón
Contributors
Index
Introduction
Michael Christ, Carlos E. Kenig, and Cora Sadosky
1. Calderón and Zygmund's Theory of Singular Integrals
Elias M. Stein
2. Transference Principles in Ergodic Theory
Alexandra Bellow
3. A WeakType Inequality for Convolution Products
Alexandra Bellow and Alberto P. Calderón
4. Transference Couples and Weighted Maximal Estimates
Earl Berkson, Maciej Paluszynski, and Guido Weiss
5. Periodic Solutions and Nonlinear Wave Equations
Jean Bourgain
6. Some Extremal Problems in Martingale Theory and Ilarmonic Analysis
Donald L. Burkholder
7. The Monge Ampere Equation, Allocation Problems, and Elliptic Systems with Affine Invariance
Luis A. Caffarelli
8. On a FourthOrder Partial Differential Equation in Conformal Geometry
SunYung A. Chang
9. Riesz Transforms, Commutators, and Stochastic Integrals
A. B. Cruzeiro and P. Malliavin
10. An Application of a Formula of Alberto Calderón to Speaker Identification
Ingrid Daubechies and Stéphane Maes
11. Analytic Capacity, Cauchy Kernel, Menger Curvature, and Rectifiability
Guy David
12. Symplectic Subunit Balls and Algebraic Functions
Charles Fefferman
13. Multiparameter CalderónZygmund Theory
Robert A. Fefferman
14. Nodal Sets of Sums of Eigenfunctions
David Jerison and Gilles Lebeau
15. LargeTime Behavior and SelfSimilar Solutions of Some Semilinear Diffusion Equations
Yves Meyer
16. Estimates for Elliptic Equations in Unbounded Domains and Applications to Symmetry and Monotonicity
Louis Nirenberg
17. Asymptotic Expansions for AtiyahPatodiSinger Problems
Robert Seeley
18. Analysis on Metric Spaces
Stephen Semmes
19. Developments in Inverse Problems since Calderón's Foundational Paper
Gunther Uhlmann
Remarks Addressed to the Conference
Alberto P. Calderón
Contributors
Index
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