Essays on Fourier Analysis in Honor of Elias M. Stein

by Fefferman, Charles; Fefferman, Robert; Wainger, Stephen

• ISBN13: 9780691086552
• ISBN10: 0691086559
• Format: Hardcover
• Copyright: 1995-01-01
• Publisher: Princeton Univ Pr

Summary

This book contains the lectures presented at a conference held at Princeton University 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.

Table of Contents

Introduction
Selected Theorems by Eli Stein	p. 1
Geometric Inequalities in Fourier Analysis	p. 36
Representing Measures for Holomorphic Functions on Type 2 Wedges	p. 69
Some New Estimates on Oscillatory Integrals	p. 83
Dilations Associated to Flat Curves in R[superscript n]	p. 113
Nonexistence of Invariant Analytic Hypoelliptic Differential Operators on Nilpotent Groups of Step Greater than Two	p. 127
Operateurs Bilineaires et Renormalisation	p. 146
Numerical Harmonic Analysis	p. 162
Some Topics from Harmonic Analysis and Partial Differential Equations	p. 175
Function Spaces on Spaces of Homogeneous Type	p. 211
The First Nodal Set of a Convex Domain	p. 225
On Removable Sets for Sobolev Spaces in the Plane	p. 250
Oscillatory Integrals and Non-Linear Dispersive Equations	p. 268
Singular Integrals and Fourier Integral Operators	p. 286
Counterexamples with Harmonic Gradients in R[superscript 3]	p. 321
Table of Contents provided by Blackwell. All Rights Reserved.