Fourier Analysis and Partial Differential Equations presents the proceedings of the conference held at Miraflores de la Sierra in June 1992. These conferences are held periodically to assess new developments and results in the field. The proceedings are divided into two parts. Four mini-courses present a rich and actual piece of mathematics assuming minimal background from the audience and reaching the frontiers of present-day research. Twenty lectures cover a wide range of data in the fields of Fourier analysis and PDE. This book, representing the fourth conference in the series, is dedicated to the late mathematician Antoni Zygmund, who founded the Chicago School of Fourier Analysis, which had a notable influence in the development of the field and significantly contributed to the flourishing of Fourier analysis in Spain.

part I|17 pages

Memorial Articles

chapter 1|3 pages

Antoni Zygmund 1900-1992

ByGuido Weiss

chapter 2|11 pages

Stylianos Pichorides 1940-1992

ByJean-Pierre Kahane

part II|110 pages

Main Lectures

chapter 3|36 pages

Band-Limited Wavelets

ByAline Bonami, Fernando Soria, Guido Weiss

chapter 4|19 pages

A Family of Degenerate Differential Operators

ByMichael Christ

part III|195 pages

Contribution Articles

chapter 8|7 pages

A Note on Monotone Functions

ByMaría J. Cairo, Javier Soria

chapter 9|14 pages

Hilbert Transforms in Weighted Distribution Spaces

ByC. Carton-Lebrun

chapter 11|16 pages

Spline Wavelet Bases of Weighted Spaces

ByJ. García-Cuerva, K. S. Kazarian

chapter 12|10 pages

A Note on Hardy's Inequality in Orlicz Spaces

ByHans P. Heinig

chapter 15|10 pages

On the Herz Spaces with Power Weights

ByLu Shanzhen, Fernando Soria

chapter 17|19 pages

Characterization of the Besov Spaces

ByM. Paluszyńki, M. Taibleson

chapter 18|14 pages

Oscillatory Singular Integrals on Hardy Spaces

ByYibiao Pan

chapter 21|5 pages

Ap and Approach Regions

ByA. Sánchez-Colomer, J. Soria