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Harmonic Analysis and Partial Differential Equations: Essays in Honor of Alberto P. Calderon (Chicago Lectures in Mathematics)

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Harmonic Analysis and Partial Differential Equations: Essays in Honor of Alberto P. Calderon (Chicago Lectures in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

Alberto P. Calderón (1920-1998) was one of this century's leading mathematical analysts. His contributions, characterized by great originality and depth, have changed the way researchers approach and think about everything from harmonic analysis to partial differential equations and from signal processing to tomography. In addition, he helped define the "Chicago school" of analysis, which remains influential to this day.

In 1996, more than 300 mathematicians from around the world gathered in Chicago for a conference on harmonic analysis and partial differential equations held in Calderón's honor. This volume originated in papers given there and presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest scholars working in these areas. An important addition to the literature, this book is essential reading for researchers in these and other related fields.

With contributions by:

Elias M. Stein

Alexandra Bellow

Earl Berkson

Maciej Paluszynski

Guido Weiss

Jean Bourgain

Donald L. Burkholder

Luis A. Caffarelli

Sun-Yung A. Chang

A. B. Cruzeiro

P. Malliavin

Ingrid Daubechies

Stéphane Maes

Guy David

Charles Fefferman

Robert A. Fefferman

David Jerison

Gilles Lebeau

Yves Meyer

Louis Nirenberg

Robert Seeley

Stephen Semmes

and Gunther Uhlmann

as well as Calderón's remarks to the assembled conference.

Synopsis:

Alberto P. Calderon (1920-1998) was one of the twentieth century's leading mathematical analysts. Two years before his death, more than 300 mathematicians from around the world gathered in Chicago for a conference held in Calderon's honor, presenting the papers on harmonic analysis and partial differential equations from which this volume originated. Containing timely syntheses of several major fields of mathematics and original research articles contributed by some of the finest scholars in these areas, this book serves as an even more fitting tribute.With contributions by: Elias M. SteinAlexandra BellowEarl BerksonMaciej PaluszynskiGuido WeissJean BourgainDonald L. BurkholderLuis A. CaffarelliSun-Yung A. ChangA. B. CruzeiroP. MalliavinIngrid DaubechiesStephane MaesGuy DavidCharles FeffermanRobert A. FeffermanDavid JerisonGilles LebeauYves MeyerLouis NirenbergRobert SeeleyStephen Semmesand Gunther Uhlmann as well as Calderon's remarks to the assembled conference.

Synopsis:

Alberto P. Calderón (1920-1998) was one of the twentieth century's leading mathematical analysts. Two years before his death, more than 300 mathematicians from around the world gathered in Chicago for a conference held in Calderón's honor, presenting the papers on harmonic analysis and partial differential equations from which this volume originated. Containing timely syntheses of several major fields of mathematics and original research articles contributed by some of the finest scholars in these areas, this book serves as an even more fitting tribute.

With contributions by:

Elias M. Stein

Alexandra Bellow

Earl Berkson

Maciej Paluszynski

Guido Weiss

Jean Bourgain

Donald L. Burkholder

Luis A. Caffarelli

Sun-Yung A. Chang

A. B. Cruzeiro

P. Malliavin

Ingrid Daubechies

Stéphane Maes

Guy David

Charles Fefferman

Robert A. Fefferman

David Jerison

Gilles Lebeau

Yves Meyer

Louis Nirenberg

Robert Seeley

Stephen Semmes

and Gunther Uhlmann

as well as Calderón's remarks to the assembled conference.

About the Author

Michael Christ is professor of mathematics at the University of California, Berkeley. Carlos E. Kenig is the Louis Block Distinguished Service Professor of Mathematics at the University of Chicago. Cora Sadosky is professor of mathematics at Howard University.

Table of 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 Weak-Type 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 Fourth-Order Partial Differential Equation in Conformal Geometry

Sun-Yung 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 Calderón-Zygmund Theory

Robert A. Fefferman

14. Nodal Sets of Sums of Eigenfunctions

David Jerison and Gilles Lebeau

15. Large-Time Behavior and Self-Similar 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 Atiyah-Patodi-Singer 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

Product Details

ISBN:
9780226104553
Editor:
Christ, Michael; Kenig, Carlos E.; Sadosky, Cora
Editor:
Kenig, Carlos E.
Editor:
Christ, Michael; Kenig, Carlos E.; Sadosky, Cora
Editor:
Christ, Michael
Editor:
Kenig, Carlos E.
Editor:
Sadosky, Cora
Author:
Sadosky, Cora
Author:
Christ, Michael
Author:
Kenig, Carlos E.
Editor:
Sadosky, Cora
Publisher:
University of Chicago Press
Subject:
Mathematical Analysis
Subject:
Differential Equations - Partial Differential Equations
Subject:
Mathematics-Analysis General
Edition Description:
1
Series:
Chicago Lectures in Mathematics (Paperback)
Publication Date:
20010631
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
12 line drawings
Pages:
360
Dimensions:
9 x 6 in

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Harmonic Analysis and Partial Differential Equations: Essays in Honor of Alberto P. Calderon (Chicago Lectures in Mathematics) New Trade Paper
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Product details 360 pages University of Chicago Press - English 9780226104553 Reviews:
"Synopsis" by , Alberto P. Calderon (1920-1998) was one of the twentieth century's leading mathematical analysts. Two years before his death, more than 300 mathematicians from around the world gathered in Chicago for a conference held in Calderon's honor, presenting the papers on harmonic analysis and partial differential equations from which this volume originated. Containing timely syntheses of several major fields of mathematics and original research articles contributed by some of the finest scholars in these areas, this book serves as an even more fitting tribute.With contributions by: Elias M. SteinAlexandra BellowEarl BerksonMaciej PaluszynskiGuido WeissJean BourgainDonald L. BurkholderLuis A. CaffarelliSun-Yung A. ChangA. B. CruzeiroP. MalliavinIngrid DaubechiesStephane MaesGuy DavidCharles FeffermanRobert A. FeffermanDavid JerisonGilles LebeauYves MeyerLouis NirenbergRobert SeeleyStephen Semmesand Gunther Uhlmann as well as Calderon's remarks to the assembled conference.
"Synopsis" by ,
Alberto P. Calderón (1920-1998) was one of the twentieth century's leading mathematical analysts. Two years before his death, more than 300 mathematicians from around the world gathered in Chicago for a conference held in Calderón's honor, presenting the papers on harmonic analysis and partial differential equations from which this volume originated. Containing timely syntheses of several major fields of mathematics and original research articles contributed by some of the finest scholars in these areas, this book serves as an even more fitting tribute.

With contributions by:

Elias M. Stein

Alexandra Bellow

Earl Berkson

Maciej Paluszynski

Guido Weiss

Jean Bourgain

Donald L. Burkholder

Luis A. Caffarelli

Sun-Yung A. Chang

A. B. Cruzeiro

P. Malliavin

Ingrid Daubechies

Stéphane Maes

Guy David

Charles Fefferman

Robert A. Fefferman

David Jerison

Gilles Lebeau

Yves Meyer

Louis Nirenberg

Robert Seeley

Stephen Semmes

and Gunther Uhlmann

as well as Calderón's remarks to the assembled conference.

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