Essays on Fourier Analysis in Honor of Elias M. Stein

Charles Fefferman, Robert Fefferman, Stephen Wainger, Charles Fefferman, Robert Fefferman, Stephen Wainger

• Publisher: Princeton University Press
• Year: 2014
• Print ISBN:
  9780691603650
  9780691632940
• eBook ISBN:
  9781400852949
• Topic: Mathematics
• Subtopic: Complex Analysis
• Index: Mathematics

This book contains the lectures presented at a conference held at Princeton University in May 1991 in honor of Elias M. Stein's sixtieth birthday. The lectures deal with Fourier analysis and its applications. The contributors to the volume are W. Beckner, A. Boggess, J. Bourgain, A. Carbery, M. Christ, R. R. Coifman, S. Dobyinsky, C. Fefferman, R. Fefferman, Y. Han, D. Jerison, P. W. Jones, C. Kenig, Y. Meyer, A. Nagel, D. H. Phong, J. Vance, S. Wainger, D. Watson, G. Weiss, V. Wickerhauser, and T. H. Wolff.

The topics of the lectures are: conformally invariant inequalities, oscillatory integrals, analytic hypoellipticity, wavelets, the work of E. M. Stein, elliptic non-smooth PDE, nodal sets of eigenfunctions, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on wedges, singular Radon and related transforms, Hilbert transforms and maximal functions on curves, Besov and related function spaces on spaces of homogeneous type, and counterexamples with harmonic gradients in Euclidean space.

Originally published in 1995.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Table of contents

• Cover
• Title Page
• Copyright
• Contents
• Introduction
• Chapter 1: Selected Theorems by Eli Stein
• Chapter 2: Geometric Inequalities in Fourier Analysis
• Chapter 3: Representing Measures for Holomorphic Functions on Type 2 Wedges
• Chapter 4: Some New Estimates on Oscillatory Integrals
• Chapter 5: Dilations Associated to Flat Curves in R^n
• Chapter 6: Nonexistence of Invariant Analytic Hypoelliptic Differential Operators on Nilpotent Groups of Steps Greater than Two
• Chapter 7: Opérators Bilinéaires et Renormalisation
• Chapter 8: Numerical Harmonic Analysis
• Chapter 9: Some Topics from Harmonic Analysis and Partial Differential Equations
• Chapter 10: Function Spaces of Homogenous Type
• Chapter 11: The First Nodal Set of a Convex Domain
• Chapter 12: On Removable Sets for Sobolev Spaces in the Plane
• Chapter 13: Oscillatory Integrals and Non-Linear Dispersive Equations
• Chapter 14: Singular Integrals and Fourier Integral Operators
• Chapter 15: Counterexamples with Harmonic Gradients in R^3